







A Parabolic Arch 
20200921 

Malen pose la question : A hotel entrance makes a parabolic arch that can be represented by the quadratic function, y= x^28x+24, where y is the height of the arch and x is the distance from wall to wall in the feet. What is the distance between the two walls of the arch. Harley Weston lui répond. 





my prcentage of years on earth is 
20200921 

Bill pose la question : This Tuesday is my birthday and I will be 69. and I just wanted to know
life ear is say earth is 6 billion years old I'm just curious to what percentage does my existence on earth reptresent I do realize that it's a
flash in the pan Penny Nom lui répond. 





A problem involving distance, time, and rate. 
20200915 

Ruby pose la question : Amy drove on the highways at 70 miles/hour to pick up fruits from her grandma’s garden in the morning.
She stayed there for two hours. When coming back in the afternoon, she drove on the local roads at 40 miles per hour to avoid traffic.
She spent a total of 8 hours for this trip, and drove a total 300 miles.
How many miles did she drive each way? Penny Nom lui répond. 





The surface area of a dome 
20200913 

Sue pose la question : i need to know the outside square footage of a dome house 24ft
across at the bottom and 16ft high so i know how much
paint it will take to cover it. Harley Weston lui répond. 





9 games with 3 possible outcomes 
20200913 

Daniel pose la question : Hi
I’d like to know how many different outcomes would be in a
Soccer week played if there is 9 different games 2 teams and 3 outcomes
Win, tie or lose
Thank you Penny Nom lui répond. 





Simultaneous equations 
20200905 

Paa pose la question : a+b=8
a+c=13
b+d=8
cd=6
find the value of each letter Penny Nom lui répond. 





Slope 
20200904 

Mark pose la question : I'm trying to calculate slope over 157'.I have a drop of 9 1/8 inches. What fraction of an inch of fall do I have every 10 feet Penny Nom lui répond. 





The angular speed of a wheel 
20200903 

Catrina pose la question : A car is moving at a rate of 75 miles per hour, and the diameter of its wheels is 2.6 in. Find the angular speed of the wheels in radians per minute. Penny Nom lui répond. 





Bearings 
20200830 

Tom pose la question : A boy walks 5km due North and then 4km due East
I. Find the bearing of his current position from his starting point
II. How far is the boy now from the starting point Penny Nom lui répond. 





4 digits to unlock a padlock 
20200828 

Sophie pose la question : I have forgotten the order in what the numbers go for my padlock! The numbers are, 0125, they don't have any repeats like, 0001, 0002. What are all possible the combinations? Help! Penny Nom lui répond. 





Arranging buttons in a row 
20200824 

Nick pose la question : A sequence of 10 buttons can be arranged in a line. The buttons are identical except for colour, with each button being either red, blue or green.
Arranging buttons in a row
How many sequences can be made where there are exactly 2 red buttons as part of the sequence of 10 buttons?
How many sequences can be made where there are exactly 4 red buttons as part of the sequence of 10 buttons? Penny Nom lui répond. 





A diameter of a circle 
20200819 

Apple pose la question : One end of the the diameter of the circle with equation x^2+y^24x+4y=2 is (3,1). Find the coordinates of the other end of the diameter. Penny Nom lui répond. 





A window problem 
20200818 

Richard pose la question : Hello,
I was hoping your math specialists could help me with some formulas.
I have shapes with specific known variables need to calculate others.
Example:
We make a straight legged arch, This shape has a width a overall height and a leg height, The leg height is always less then the overall, And the top is arched.
We have the width, Height, and leg size.
Need to calculate the length of the curve and sq ft of the shape. Harley Weston lui répond. 





A word problem with no algebra 
20200811 

Julie pose la question : At 3pm, Bruce headed north at 30 km/hr. 2 hours later, Lucy headed south at 40 km/hr. At what time will they be 340 km apart Penny Nom lui répond. 





More on the last 2 digits of a^k = N 
20200807 

Jay pose la question : I've seen solution methods for finding the last 2 digits
of a^k = N, where a and k are known. My question
is:
What if the number N is known and the last 2
digits are, say, ...62. Is there a way to find, for
any given a, the value of k which will result in a
number where the last 2 digits are ...62? and if
that is possible, then do the same for
a number with the last n digits (say 7 or 53 or
something)? Harley Weston lui répond. 

