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Zero 2001-03-15
Alexandre pose la question :
j'aimerais beaucoup savoir si le chiffre zéro est considéré comme étant soit:
1. pair
2. impair
3. pair et impair à la fois
4. ni pair ni impair.

Claude Tardif lui répond.
Is -1 an odd integer? 2020-09-27
Nicole pose la question :
is -1 an odd integer?
Penny Nom lui répond.
The volume under an an uneven surface 2020-05-01
Solon pose la question :
I am trying to fill an area of floor which has an uneven surface. I need to know the volume of fill. If you imagine a rectangular room (4 corners) that measures 189 inches by 240 inches and the depth at each corner is different.
Let us say corner #1 has a depth of 1", corner #2 has a depth of 0", corner #3 has a depth of 2" and corner #4 has a depth of 4".
How would i find the volume of said floor area?

Any assistance would be greatly appreciated!

Harley Weston lui répond.
Even 5 digit palindromes 2019-10-24
daniel pose la question :
How many palindromes of 5 digits are even?
Penny Nom lui répond.
Three digit codes 2019-07-14
Jessica pose la question :
I need to find the total number of 3 digit codes using the digits 1 through 9. How many of these codes would be odd numbers, and how many even?
Penny Nom lui répond.
The sum of three consecutive even integers 2019-01-27
Pauleen pose la question :
Translate this into algebraic expression
The sum of three consecutive even integers, if x is the first even integer

Penny Nom lui répond.
Two spinners 2018-08-13
Atina pose la question :
A spinner has four equal sectors and a number is written on each sector; 1, 2, 3 and 4. A two-digit number is formed by spinning two times. The number on the first spinning makes the first digit and the number on the second spinning makes the second digit. For example, 2 on the first spinning and 1 on the second spinning make the number 21.
(a) Give the sample space S for the experiment.
(b) Consider the following events : E = odd number; F = number smaller than 35; G = prime number. Give the subset of outcomes in S that defines each of the events E, F, and G.
(c) Describe the following events in terms of E, F, and G and find the probabilities for the events.
• getting an even integer less than 35.
• getting an odd number or an prime.
• getting an even number greater than or equal to 35 that is a prime number.
• an odd number smaller than 35 that is not a prime number.
(d) Are E and F mutually exclusive events? Give a reason for your answer.

Penny Nom lui répond.
Taking 6 pills 2018-05-29
Dave pose la question :
My motives are simple, I want to get revenge on my brother who, unbeknown to me, repeatedly cheated when we played on-line Scrabble! Can you help? - he has posed this question knowing that I'll struggle to get the solution. Question: He is taking 6 pills a day, if he takes the pills in a different order each day, how long will it be before he takes the pills in the same order on the same date again? I think leap years might come in to it! Will I confess to using you guys? - I'll think about that one.
Penny Nom lui répond.
Seven tangent circles 2018-04-23
Domenick pose la question :
How to calculate the circumscribed and inscribed circles formed by seven .019685 diameter circles arranged in a circle with all seven circles tangent to each other?
Penny Nom lui répond.
Divisibility of 3n^5+7n 2016-12-14
Parag pose la question :

Question from Parag, a student:

if n is a natural number,then 3n^5+7n is divisible by
a)2
b)3
c)5
d)7

i got the answer but still i need a valid alternate approach.

Penny Nom lui répond.
Five consecutive even integers 2016-08-12
Marcelle pose la question :
The average of 5 even consecutive numbers is 112. What is the largest numbers?
Penny Nom lui répond.
Pizza delivery 2016-04-03
Andrew pose la question :
Suppose you own a local pizza restaurant, Pizza with Pizzazz, and in order to compete with the big pizza chains in your area you are considering an advertising campaign offering customers a free pizza if their pizza is not delivered in 30 minutes or less. Even though your pizza restaurant is known for its fast and friendly delivery service, you are not sure if you can afford to give away too many pizzas for free. Looking over your past 12,421 pizza deliveries you find out 97% of the pizzas were delivered in 30 minutes or less.

Calculate the probability that all 100 randomly selected pizza deliveries will have been made in 30 minutes or less? Hint: Use the multiplication rule. (Round 4 decimals)

I'm really stumped on how exactly to do this problem. I don't need the answer just the steps broken down to show me how to get it! It would be gladly appreciated if you could help!

Penny Nom lui répond.
20 mangoes 2016-04-01
Mussharat pose la question :
I have 20 mangoes and have to put them in 5 boxes such that the numbers will be odd numbers.Also I can't cut or take the seed out from the mango . What should I do. It's really confusing.
I'll be more than happy if you could help me.

Penny Nom lui répond.
Seven switches with 3 stages each 2015-09-15
jeff pose la question :
We are trying to solve a combination problem. If I have 7 things that can be in 3 states (say on/partially on/off), and all 7 have to a state. How many different combinations can there be? It doesn't seem like we should treat it as 21 independent things, but not sure how to break the problem apart.
Penny Nom lui répond.
A word problem 2015-05-08
JAMES pose la question :
A businessman bought a number of similar articles for a total of sh. 6000. Three of the articles turned out to be defective with no resale value. He sold the remaining articles at 12.5% each above the cost price making a total profit of sh 480. How many articles had he bought?
Penny Nom lui répond.
Even and odd 2014-11-28
Subrahmanya pose la question :
n1, n2, n3....................,n1997 are integers not necessarily distinct. (actually in n1, n2,.............., n1997 the numbers 1,2,.................,1997 are subscripts of 'n')

X= (-1)^n1+(-1)^n2+............+(-1)^n998

Y=(-1)^n999+(-1)^n1000+............+(-1)^n1997

Then

which of the following options is true

A) (-1)^X = 1, (-1)^Y = 1 B) (-1)^X = 1, (-1)^Y = -1
C) (-1)^X = -1, (-1)^Y = 1 D) (-1)^X = -1, (-1)^Y = -1
E) none of these

Penny Nom lui répond.
Maximizing the ticket revenue 2014-10-07
Allen pose la question :
An airplane whose capacity is 100 passengers is to be chartered for a flight to Europe. The fare is to be \$150 per person, if 60 people buy tickets. However, the airline agrees to reduce the fare for every passenger by \$1 for each additional ticket sold. How many tickets should be sold to maximize the ticket revenue for this flight?
Chris Fisher lui répond.
Price, revenue and profit 2013-09-22
lorraine pose la question :
What price maximizes revenue? What price maximizes profit?

The only data I'm given is total output, total revenue, and total cost. I'm not sure how to set up a formula

Penny Nom lui répond.
A contest with 31 people 2013-09-06
Kevin pose la question :
There is a contest with 31 people and only one winner each week.
We play for 17 weeks.
What are the odds of winning at least one week?
The chances of winning each week are independent from previous weeks.

Robert Dawson lui répond.
If n is odd, then n^2 - 3 is even 2012-12-11
Tracy pose la question :
Prove the statement:

For all integers n, if n is odd, then n2 - 3 is even.

Penny Nom lui répond.
4 digit combinations 2012-10-17
Scott pose la question :
How many different 4- number combinations from 0-1-2-3-4-5-6-7-8-9 with 2 out of the 4 odd and 2 out of the 4 even, with no numbers repeating. Thanks
p lui répond.
More on marbles in a jar 2012-09-27
josh pose la question :

Question from josh, a student:

Suppose you have a jar containing 100 red marbles and 100 white marbles. A) If you draw 5 marbles in a row, throwing each marble across the room as you draw it, what is the probability that at least one of them was red? B) If you draw 101 marbles in a row, throwing each one across the room as you draw it, now what is the probability that at least one of them was red?

I saw that this answer was already answered but "The probability that at least one is red is 1 minus the probability that they are all white." makes no sense to me can you please explain i thought that each time a marble is taken out the amount left is different can you please explain better

Robert Dawson lui répond.
Division in base eleven 2012-05-27
Zoe pose la question :
How do you divide numbers that are in base 11?

For example;

9A7A6A divided by A

Penny Nom lui répond.
15 pigs and 6 pens 2011-11-16
Mike pose la question :
I have 15 pigs and 6 pens, I have to put them in odd numbers, how do I do it.
Chris Fisher lui répond.
Twice an even number 2011-10-10
Ron pose la question :
The number of dollars that Tracy has in her pocket is an odd number. Hal gave Tracy \$2 more than she already had in her pocket. The number of dollars Tracy now has cannot be _________.
a) \$60 b) \$62 c) \$64 d) 68

Penny Nom lui répond.
Can a function be both even and one to one? 2010-10-09
Tracy pose la question :
Can a function be both even and one to one?
Harley Weston lui répond.
Percentage of Revenue Generated 2010-09-22
Jeri pose la question :
Hi! I am trying to fill out the government form for obtaining a business license and this is all new to me...it wants to know the estimated percentage of revenue that my product generates. An easy formula to figure this out would be greatly appreciated!
Stephen La Rocque lui répond.
Can a fraction be an even or odd number? 2010-08-25
Kenneth pose la question :
Can a fraction be an even or odd number? If not , why?
Stephen La Rocque and Harley Weston lui répond.
A collection of baseball cards 2010-07-01
Martha pose la question :
Cody has a collection of baseball cards. Is it possible for him to place the cards into 5 boxes so that exactly 3 of the boxes contain an odd number of cards and the total number of cards in two of the boxes is the same as the total number in the other 3 boxes? Explain.
Robert Dawson, Penny Nom and Claude Tardif lui répond.
The product of two consecutive even integers 2010-05-11
Terry pose la question :
The product of two consecutive even integers is 14 more than their sum. Find the integers.
Penny Nom lui répond.
Counting by sevens 2010-04-13
Larry pose la question :
Lee counted by 7's beginning with one of the whole numbers from 1 through 7, until Lee passed 1000. If Lee counted three of the following numbers, which number did Lee NOT count?

a. 107
b. 184
c. 534
d. 641

Robert Dawson and Penny Nom lui répond.
Frank makes picture frames 2010-02-20
Carol pose la question :
Frank makes picture frames his revenue from sales is R=\$13.60x for frames sold. The cost making frames is C=\$5.80x+\$120 for frames made. What is the minum number of frames Frank must make and sell in order for his revenue to be greater than his costs.
Penny Nom and Melanie Tyrer lui répond.
7 odd numbers 2010-02-19
mike pose la question :
Hello there, Problem: find 7 odd numbers who sum is equal to 30. Hint*My professor said it's possible to add 7 odd numbers and get 30 for an answer! and he said we can use Negative and rational numbers but no decimal or fractions. So is there anyway of solving this? Please get back to ASAP! thanks.
Harley Weston and Tyler Wood lui répond.
Consecutive even integers 2010-02-03
cassandra pose la question :
find 2 consecutive even integers whose sum is 34

find 3 consecutive even integers such that 3 time the middle interger is 10 more than the greatest.

Tyler Wood lui répond.
Odds and evens in an n by n+1 table 2010-01-21
Shankar pose la question :
The boxes of an n * (n+1) table ( n rows and n+1 columns) are filled with integers. Prove that one can cross out several columns ( not all of them !) so that after this operation all the sums of the numbers in each row will be even.
Robert Dawson lui répond.
Holiday for 7 golfers 2010-01-05
Andy pose la question :
I am having difficulty scheduling pairings for a forthcoming Golf holiday. There are 7 players and we will be playing 7 rounds - each round will be a 3 ball and a 4 ball. I am trying to work out a schedule that means everyone plays with each other roughly the same number of times (with a minimum of, say, 3 times if possible). Also, we are looking to ensure everyone plays in roughly the same number of 3 and 4 balls. Any suggestions would be much appreciated (we leave in 10 days time). Thank you.
Victoria West lui répond.
Probability 2009-09-27
Ed pose la question :
My mother died 3 years to the day after her daughter died. what are the odds of that happening by chance? thanks
Chris Fisher lui répond.
Revenue 2009-09-25
Oneda pose la question :
Charter Bus Fares - For groups of 80 or more people, a charter bus company determines the rate per person according to the formula
rate = 8 - 0.05(n-80_, n >= 80
where the rate is given in dollars and n is the number of people question a) express the revenue R for the bus company as a function of n.

Penny Nom lui répond.
Toss a coin and roll a die 2009-09-21
Celeste pose la question :
Can you please tell me how to set up this problem to find the answer. I know they are independent from there I don't know. a coin and a regular six-sided die are tossed together once. What is the probability that the coin shows a head or the die has a 5 on the upward face?
Penny Nom lui répond.
Seven circles 2009-09-20
Bobbi pose la question :
try to put number 1 to 7 in seven circles (one in the middle, 3 on top, 3 below) so the numbers in each row of three circles--vertical, horizontal, and diagonal -- add up to 12. Each number can be used only once.
Stephen La Rocque lui répond.
Selling fish 2009-07-22
Hemantee pose la question :
A fishmonger bought 150kg of fish. he sold 70%of it at the price of Rs90 per kg and the rest at Rs 75 per kg. he made a profit of 42.5 per cent. how much did he pay for the fish.
Penny Nom lui répond.
Maximum profit 2009-05-11
Sally pose la question :
a manufacturer of dresses charges \$90 per dress up to 100 units and the average production cost is \$60 per dress. to encourage larger orders the company will drop the price per dress by .10 for orders in excess of 100. I need to find the largest order the company should allow with the special discount to realize maximum profit.
Harley Weston lui répond.
A discount on a charter plane 2009-05-06
karen pose la question :
a charter plane company advertises that it will provide a plane for a fare of \$60. if your party is twenty or less and all passengers will receive a discount of \$2 per person if the party is greater than 20. what number of passengers will maximize revenue for the company
Stephen La Rocque lui répond.
Dividing the digits 1 - 9 into two groups 2009-02-09
donna pose la question :
using the numbers 1 to 9 can you arrange these into 2 groups, both of which have the same total, and no you cant turn the 6 upside down
Penny Nom lui répond.
John pose la question :
I have been asked to tutor a 7th grader who is very good in math. He is taking the most advanced course that his school offers to 7th graders. This course will cover Algebra 1 over a period of two years, using McDougal Littell's Algebra, Structure and Method, Book 1, a book I like a lot.

I have been hired not to help him with his schoolwork, which is too easy for him, but to guide him through something in math beyond his schoolwork. This was his idea, an idea which surprised his parents, but one which they support.

Do you have a suggestion for me? If so, I would be very grateful to hear from you. I think this could be a lot of fun for me and my new student, if I pick the right path.

Thanks and best regards, John John

Robert Dawson, Victoria West and Walter Whiteley lui répond.
A seven card poker hand 2009-01-12
Sean pose la question :
from a standard card deck, seven cards are chosen at random. find the probability that the set chosen contains exactly three of each of two different face values.

the second part of the problem asks the probability that the card hand contains exactly three 2's and exactly three 5's.

Robert Dawson lui répond.
A T-shirt fundraiser 2009-01-11
Andre pose la question :
Lou's class is selling T-shirts for a fundraiser. The supplier charges 750\$ for the initial design and the set-up plus 5\$ for each imprinted shirt. The students sell the shirts for 15\$ each.
a)How many T-shirts do the students need to sell to break even?
b)How much profit will the students make if they sell 150 shirts?

Harley Weston lui répond.
Maximize revenue 2008-10-08
Donna pose la question :
A university is trying to determine what price to charge for football tickets. At a price of 6.oo/ticket it averages 70000 people per game. For every 1.oo increase in price, it loses 10000 people from the average attendance. Each person on average spends 1.5o on concessions. What ticket price should be charged in order to maximize revenue. price = 6+x, x is the number of increases.
ticket sales = 70000- 10000x
concession revenue 1.5(70000 - 10000x)
I just do not know what to do with the concession part of this equation (6+x) x (70000 - 10000x) I can understand but not the concession part please help. thx.

Penny Nom lui répond.
Is it possible to a function to be both even and odd ? 2008-09-28
Mohammed pose la question :
Is it possible to a function to be both ( Even and Odd )
Harley Weston lui répond.
Is zero an even number, an odd number, or neither? 2008-08-04
Donna pose la question :
Is zero an even number, an odd number, or neither? Why?
Victoria West lui répond.
Smallest Even Number 2008-07-09
Ma. pose la question :
Using the digits 0, 1, 3, 4, and 5 only once give the smallest 5-digit even number
Janice Cotcher lui répond.
A 7-digit odd number 2008-06-26
Godryk pose la question :
I am the smallest 7-digit odd number. my ones digit is the sum of my thousands, and ten thousands digits. What number am I?
Penny Nom lui répond.
30% profit 2008-06-19
Julie pose la question :
how do i calculate the price per person that will return a 30% profit on the sales revenue generated?
Penny Nom lui répond.
Some three-digit numbers 2008-03-05
Toni pose la question :
The following is a word pattern problem listed on my son's homework: write a set of three-digit numbers that contain one odd number and three even numbers. This confused the both of us because that would make his number a four digit number, right? please respond. Thanks.
Penny Nom lui répond.
A 10% markup then a 10% discount 2007-11-13
svetik pose la question :
The best selling dessert at Chez Russell earns revenue of \$5000 per week. During Restaurant Week, they are required to give a 10% discount on this dessert. Because the owner is a crook, he decides to mark up the price the week before Restaurant Week and then give the 10% discount off the marked up price. During the marked up week, they still sold the same amount of pieces as any prior week. However, they expect to sell 100 more pieces during restaurant week. If the revenue from this dessert is the same for the marked up week and restaurant week, what is the normal price of the dessert, rounded to the nearest cent?
Penny Nom lui répond.
Maximizing profits II 2007-10-05
a student pose la question :
Suppose there are three firms with the same demand function. The function is Q=1000-40P. Each firm also a a cost function.
Firm 1: 4000+5Q, Firm 2: 3000+5Q, Firm 3: 3000+7Q.
What price should each firm charge if it wants to maximize profits.

Harley Weston lui répond.
Three digit numbers where all digits are even 2007-09-14
Cielo pose la question :
Hannah made a list of all of the three digit whole numbers where all three digit were even. How many three digit whole numbers were on Hannah's list?
Penny Nom lui répond.
Why does an odd + odd = an even? 2007-09-06
austin pose la question :
why does an odd + odd = an even?
Penny Nom lui répond.
Breaking even 2007-08-16
virginia pose la question :
a company that manufactures bikes has a fixed cost of \$100,000.00 it costs \$100 to produce each bike. the selling price per bike is \$300.00

write the cost function, c
write the revenue function, r
determine the break even point

Leeanne Boehm and Steve La Rocque lui répond.
Selling price and revenue 2007-06-24
nick pose la question :
hello, this is my first time asking for help from this website in which by the way, i think is great for everyone. My question is as follows... the relationship between the selling price of a sleeping bag, s dollars, and the revenue at that selling price, r(s) dollars is represented by the function: r(s)= -10s^2+1500s
evaluate, interpret, and compare: a) r(29.95)

Stephen La Rocque and Penny Nom lui répond.
Base seven 2007-05-19
Dan pose la question :
A number X is converted to base 7 and becomes a four digit number. Its leftmost digit is removed and written again as the rightmost digit. The number thus obtained is twice X. Find the decimal representations of all such numbers X.
Penny Nom lui répond.
Find the maximum revenue 2007-04-05
Megan pose la question :
The weekly revenue for a company is R= -3p+60p+1060, were p is the price of the company's product. Find the maximum revenue for this company.
Stephen La Rocque lui répond.
Seven digit account numbers 2007-03-09
Miranda pose la question :
Account numbers for the Central Oil Company consist of seven digits. If the first digit cannot be 0, how many account numbers are possible? Thank you so much!!!
Penny Nom lui répond.
Maximize revenue 2007-03-08
San pose la question :
A movie theatre sells tickets for \$8.50 each. The manager is considering raising the prices but knows that for every 50 cents the price is raised, 20 fewer people go to the movies. The equation R= -40c^2+84c describes the relationship between the cost of the tickets, c dollars, and the amount of revenue, R dollars, that the theatre makes. What price should the theatre charge to maximize revenue? This question comes from my gr.11 corresponding study homework and I not yet solve it. Please help! Thank you, I will appreciate your help.
Stephen La Rocque lui répond.
An even function 2007-03-07
Dana pose la question :
Find a function t(x) such that t(x)/x+3 = y is an even function
Haley Ess lui répond.
What is the probability that the sum of the two numbers is even? 2006-11-01
Ryan pose la question :
10 balls numbered 1-10 are in a jar. George reaches into the jar and pulls out a ball. Then Wally pulls out another ball. What is the probability that the sum of the two numbers is even?
Haley Ess lui répond.
How many students are in the class? 2006-10-12
Lillian pose la question :
There is one more boy than girls in the class, how many students in all?
Stephen La Rocque lui répond.
2-row arrays 2006-09-06
Liz & Samantha pose la question :
What do you call the numbers that cannot be arranged into 2-row arrays?
Penny Nom lui répond.
Is zero even or odd? 2006-04-04
Aliya pose la question :
I would like to know if zero is an odd number or even number. I remembered my kindergarten teacher saying it is an odd number. My mom and sister says it is even number.
Penny Nom lui répond.
Josh and John were both exposed to the flu 2005-12-16
Dudley pose la question :
Josh and John were both exposed to the flu. John has a 25% chance of getting it, while Josh has a 75% chance of getting it. What are the chances that at least one of them has the flu?
Penny Nom lui répond.
Is a zero considered an even or odd number? 2005-12-13
Sylvia pose la question :
Is a zero considered an even or odd number?
Penny Nom lui répond.
The sum of n consecutive integers 2005-11-27
Craig pose la question :

If 875 is expressed as the sum of n consecutive integers (n > 1), then the number
of possible values of n is?

A) 15
B) 8
C) 7
D) 16
E) 4

Penny Nom lui répond.
Numbers with exactly 5 divisors 2005-11-23
Mary Lou pose la question :
Show the 10 numbers with exactly 5 divisors.
Penny Nom lui répond.
When will x^2+xy+(y-x) be even? 2005-11-08
Lana pose la question :
If x and y are integers, when will x squared+xy+(y-x) be even?
Penny Nom lui répond.
Why is zero even? 2005-11-08
Lauren pose la question :
A child in my class if having trouble with the concept of zero being an even number, I have talked with her about its zero because it is a multiple of 2, any other suggestions?
Paul Betts lui répond.
Can one place 15 integers around a circle... 2005-08-20
Hernan pose la question :
Can one place 15 integers around a circle so that the sum of every 4 consecutive numbers is equal either to 1 or 3?
Claude Tardif lui répond.
Maximizing revenue 2005-05-13
Jackie pose la question :
1.The manager of a 100-unit apartment complex knows from experience that all units will be occupied if the rent is \$400 per month. A market survey suggests that, on the average, one additional unit will remain vacant for each \$5 increase in rent. What rent should the manager charge to maximize revenue?

2.During the summer months Terry makes and sells necklaces on the beach. Last summer he sold the necklaces for \$10 each and his sales averaged 20 per day. When he increased the price by \$1, he found that he lost two sales per day.

a. Find the demand function, assuming it is linear.
b. If the material for each necklace costs Terry \$6, what should the selling price be to maximize his profit?

Penny Nom lui répond.
Divisibility by 7 and 11 2004-10-13
Tammy pose la question :
I'm stuck in class in Yr 7 And I'm finding it hard on our new topic Divisibility! When I try to find out what this means on Internet sites i can not understand the used symbols like algebra and so on. I'm stuck on the divisibility rules for the number 11!
Penny lui répond.
Even-numbered roots 2004-03-01
A student pose la question :
I understand that the square root is defined to be positive only. Does the same rule apply to other even-numbered roots, such as the 4th root, or the 6th root, etc.?
Harley Weston lui répond.
Sums and differences 2004-02-10
David pose la question :
The sum of two whole numbers is 63. The difference between the numbers is 10. Find all the possible pairs.
Claude Tardif and Penny Nom lui répond.
Is zero even? 2004-01-07
A secretary at an elementary school pose la question :
Is zero an even number?
Penny Nom lui répond.
37 with four 4'2 2004-01-03
Myra pose la question :
Using four fours and only four fours to get an answer of 37.
Claude Tardif lui répond.
Room and board fees 2003-11-29
Jennifer pose la question :
A certain university wishes to determine room and board fees for the next academic year. For the current year, the fee is \$3600 per student and 1800 students are living in the residence halls. Past data suggests that for every \$300 increase in the semester fee, 200 fewer students will choose to live in the dorms. There are also costs to the university associated with the residence halls. The fixed costs total \$2,000,000 per semester. the variable costs are currently \$1000 per student but will fall \$100 per student for each decrease of 100 students. Your task is to help the university determine the optimal fee. Assume linear relationships between the number of students and the fee and between the number of students and the cost per student
Penny Nom lui répond.
Divisibility by 7 2003-11-14
A student pose la question :
how do you test a number to see if it is divisible by 7 or not?
Penny Nom lui répond.
Two row arrays 2003-09-03
My question is, what are #'s that can not be arranged in two row arrays called?
Penny Nom lui répond.
39 consecutive natural numbers 2003-08-19
A student pose la question :
Prove that among any 39 consecutive natural numbers it is always possible to find one whose sum of digits is divisible by 11.
Penny Nom lui répond.
Two precalculus problems 2003-08-04
Kate pose la question :

cos2x(sec2x-1)=sin2x

Also I am having trouble withdetermining whether f(x) is odd, even, or neither
f(x)=x3-x

Penny Nom lui répond.
Odd and even 2002-12-17
Martin pose la question :
I am a graduate engineer trying to teach single digit addition to my 8 year old grand-daughter. My questions follow.

Assume a child does not know what multiplication and division are.

Assume the child knows how to count from 0 to 10

How do you explain that 2, 4, 6, 8 and 10 are even numbers

And 1, 3, 5, 7 and 9 are odd numbers

And these three facts?

3. when you add an even number and an odd number, the answer is odd?

Can all of these be reasoned out, without using the concepts of multiplication or division?

Diane Hanson lui répond.
Making 7 2002-11-26
Bill pose la question :
At one time I had the answer to this math equation but I have lost it and can't seem to regain it. I may be going at it wrong but as I recall there were the numbers 1 through 4, and the std operators, +, -, /, *, and parentheses. The object was to make the four numbers with the operators equal to 7. Each number and operator may be used only once. My 9 year old loves these quizzes but I can't give it to her if I can't provide the correct answer.
Claude Tardif lui répond.
Sums of evens 2002-09-14
Rosa pose la question :
How do I find a geometric way to easily compute sums of consecutive even numbers 2 + 4 + 6 + ....
Leeanne Boehm and Harley Weston lui répond.
Probability 2002-08-16
Chris pose la question :

There are two possible outcomes for a random event, A and B.

The probability of A being the outcome is 63%, and B 37%.

What is the likelihood that B will be chosen twice, consecutively? Three times, ten?

Andrei Volodin lui répond.
Place six numbers around a triangle 2002-07-19
Monika pose la question :
I need to place six numbers around a triangle, as such that one number is on each corner, and one number on each side making three numbers in one line, adding up to two hundred exactly. The number I have to use are, 40, 50, 60, 70, 80, 90. I have to use each one once, there for, each number cannot be repeated.
Claude Tardif and Chris Fisher lui répond.
Pigs in pens 2002-07-10
Shannon pose la question :
A farmer has 21 pigs and 4 pens, he must put an odd number of pigs in each pen, how does he do it?
Penny Nom and Chris Fisher lui répond.
Rolling 5 sevens before rolling a six or an eight 2002-01-20
Tony pose la question :
When rolling 2 dice, what is the probability of rolling 5 sevens before rolling a six or an eight?
Andrei Volodin and Penny Nom lui répond.
Odd plus even is odd 2001-10-14
James pose la question :
Why is the sum of an odd number and an even number always odd?
Peny Nom lui répond.
15 mice in 4 cages 2001-10-08
Chelsea pose la question :
How can you fit 15 mice into 4 cages with an odd number of mice in each cage?
Claude Tardif and Harley Weston lui répond.
The best of 7 2001-09-08
Michelle pose la question :
Professional basketball, hockey, and baseball championships are decided on the best 4 out of 7 games. The first team to win four games wins the championship. In how many possible ways could the team win the championship series after winning the first game?

Example:
Game   1    2    3    4    5     6     7
Result W    L    L    W    W     W

Leeanne Boehm lui répond.
Generating uniquie 2 digit numbers 2001-07-16
Anthony pose la question :
What methodology can I use to generate uniquie 2 digit numbers from unique 7 digit numbers. Of'course the total number of 7-digit numbers is not greater than 99.
Penny Nom lui répond.
Mutually exclusive 2001-06-05
Marje pose la question :
What does the mathmatical term "mutually exclusive" mean. Pleas diagram if possible.
Penny Nom lui répond.
Maximize profit 2001-05-09
Brian pose la question :
The marginal cost for a certain product is given by MC = 6x+60 and the fixed costs are \$100. The marginal revenue is given by MR = 180-2x. Find the level of production that will maximize profit and find the profit or loss at that level.
Harley Weston lui répond.
A lemon and a recall 2001-04-25
Katie pose la question :
A Man has two cars, a recall and a lemon. The probability that the recall starts is 10%. The proabability that the lemon will start is 5%.

What is the proabability that both cars will start?

Andrei Volodin lui répond.
Oil revenue 2001-04-21
Brian pose la question :
Suppose that t months from now an oil well will be producing crude oil at the rate of r(t), not a constant, barrels per month and that the price of crude oil will be p(t), not a constant, dollars per barrel. Assume that the oil is sold as soon as it is extracted from the ground.
1. Find an expression for the total revenue from the oil well, R(t).

2. A certain oil well that currently yields 400 barrels of crude oil a month will run dry in 2 years. The price of crude oil is currently \$18 per barrel and is expected to rise at a constant rate of 3 cents per barrel per month. What will be the total revenue from this well? {Hint: Model the degraded production rate with the equation:
r(t) = (A-Bt)e0.04t}

Harley Weston lui répond.
Is there an odd and even function? 2001-03-02
Saima pose la question :
Is there a function that is both even and odd at the same time? In other words, is there a function that can pass the y-axis, x-axis, and origin symmetry test?
Claude Tardif and Penny Nom lui répond.
Delivering firwood 2001-02-20
Jackie pose la question :
Two college students earn extra money on weekends by delivering firwood in thier pickup truck. They have found that they can sell x cords per weekend at a price of p dollars per cord, where x=75-3/5 p. The students buy the firewood from a supplier who charges them C dollars for x cords to the equation C=500+15 x+1/5 x2.

a) find a function f such that P=f(p), where P dollars is the profit per weekend for the students if they charge p dollars per cord.

b)find the profit P dollars if p=\$95

Penny Nom lui répond.
A 1 from 35 lottery 2001-01-11
Jamie pose la question :
A number is randomly drawn from an urn containing 35 balls numbered 00 to 34.

How to win

Division 1 Match the number drawn
Division 2 Match the last digit of the number drawn

Calculation of probabilities for this lottery:...

Claude Tardif and Penny Nom lui répond.
The city transit system 2001-01-07
Jacky pose la question :
The city transit system carries an average of 9450 bus riders a day, for a fare of \$1.75 each. The city wants to reduce car pollution by increasing ridership and to maximize the transit system's revenue at the same time. A survey indicates that the number of riders will increase by 150 for every \$0.05 decrease in fare.
Harley Weston lui répond.
Hendecagon 2000-10-09
Jillian pose la question :
I need an example of a object that is in the shape of a hendecagon. I know what the shape is but I cannot come up with a real life example of an object that is this shape.
Chris Fisher lui répond.
Rule of 78 2000-03-22
Dan Baumgarten pose la question :
Can you explain the rule of 78 and the reverse rule of 78? Thanks.
Claude Tardif lui répond.
Six digit numbers using 1,2,5,6,7, and 9 2000-03-20
Rachel pose la question :
How many different six-digit numbers can you make using the digits 1,2,5,6,7, and 9? How many of these six digit numbers are divisible by six?
Claude Tardif and Denis Hanson lui répond.
Is zero an even or odd number? 2000-02-06
Christian Hansen pose la question :
On a list I run, someone posted that 02-02-2000 was the first date since 28-08-888 where all the digits were even. Of course, this provoked a discussion of whether zero was odd, or even, or neither. I remember reading that, for symmetry's sake, it is considered by mathematicians to be even. Any thoughts?
Patrick Maidorn lui répond.
Two algebra problems 1999-12-17
Michael Standfest pose la question :
If x+4 is a factor of 2x4+kx3-3kx2+6x-40, find k

and

Prove that n2-n is even for all n, using the proof of contradiction
Penny Nom lui répond.

Even and Odd Function 1999-06-17
Kent pose la question :
There is one function with the domain of all real numbers that is both even and odd. Please give me the answer to this question before I go insane.
Penny Nom lui répond.
Evens and odds 1999-05-04
Emily Hays pose la question :
My name is Emily Hays, I am in the 6th grade and my teacher gave me some extra probelms to see if I could solve them. She can't find the KEY and I can't figure out the probelm so she suggested I e-mail you guys to see if you could help us. Here's the Problem:

The numbers 1,2,3...,1999 are written on the blackboard in the classroom. Evertime the teacher enters the room he chooses two numbers on the blackboard, say a & b, with a> or equal to b, then he erases them and writes the difference a-b somewhere on the blackboard. After this procedure is carried on 1998 times, there will be only one number left on the blackboard. Prove the last remaining number must be even.

I hope you can help us!
Chris Fisher and Harley Weston lui répond.

Divisibility by 11 1998-10-28
Pat Duggleby pose la question :
I am an upgrading instructor at a drop-in program in Regina. One of my students is taking General Math 30 through correspondence, and we have run into some confusing instructions. The section is about divisibility rules, and we did just fine up until the rule for Divisibility by 11. The statement is as follows:
 If the difference between the sum of the odd-numbered digits and the sum of the even-numbered digits, counted from right to left, is divisible by 11, then the number is divisible by 11.
.
.
.

Penny Nom lui répond.

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