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Seven digit numbers |
2005-06-23 |
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Ky pose la question : How many number combinations are possible for a 7-digit number? How many people in a population can exist without having to exceed the seven digit combinations and having to revert to a 8 or 9 digit number? Penny Nom lui répond. |
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Profit of more than 100% of cost |
2005-06-22 |
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sam pose la question : I know I can work out what percentage profit I am making by : profit/cost x 100, and I can work out up to 99% profit (the way I currently calculate it is profit x 1.99) But how do I work out any amount over 100%, say for instance I have something that costs me $0.52 that I wish to sell for 250% profit? Penny Nom lui répond. |
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An algebraic remainder |
2005-06-22 |
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Raymond pose la question : Given that 4x3 - kx is divisible by 2x+1, find the remainder when the expression is divided by 4 - x2. Penny Nom lui répond. |
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A geometric sequence |
2005-06-21 |
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A student pose la question :
The first three terms of a geometric series are 3(q+5), 3(q+3), (q+7) respectively.
Calulate the value of q. Penny Nom lui répond. |
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Discriminant |
2005-06-20 |
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A student pose la question : If a quadratic has real root, its discriminant b2-4ac>=0 Is there any similar condition or method by which you can find whether roots of a cubic equation are real or not? Chris Fisher lui répond. |
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An octagonal gazebo |
2005-06-19 |
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Tucker pose la question : I want to build a gazebo that is a regular octagon 15 feet across. How do I figure the length of each side? Harley Weston lui répond. |
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An integer x when divided by 5 leaves the remainder 3. |
2005-06-18 |
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A teacher pose la question : An integer x when divided by 5 leaves the remainder 3. Prove that when 4x is divided by 5, 2 is the remainder Penny Nom lui répond. |
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Two tangents to a circle |
2005-06-18 |
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Tej pose la question : The tangents drawn from points M and N of a circle
having centre O intersect each other at point P. If
angle MPN=60 degrees, NM=10, then find the radius of
the circle and Area of quadrilateral OMPN. Penny Nom lui répond. |
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p+1, p+2 y p+4 are prime |
2005-06-18 |
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Vincent pose la question : Find all the values of p (where p is a natural number), for which the numbers p+1, p+2 y p+4 are prime. Penny Nom lui répond. |
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combien de fruits de chaque sortes? |
2005-06-13 |
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Halloy pose la question : j'ai un panier de 32 fruits au total dans mon panier, j'ai 3 fois plus de bananes que de pommes et 4 fois plus de poires que de pomme. Combien il y a de bananes, de poires et de pommes dans mon panier? Claude Tardif lui répond. |
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In how many ways can 12 different fruits be distributed |
2005-06-13 |
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Sapta pose la question : In how many ways can 12 different fruits be distributed among 3 boys so that each receives at least 1 fruit? Claude Tardif lui répond. |
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20% profit |
2005-06-12 |
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Shawn pose la question : If I know that I will be paid, say, $150.00, for labor, and I want to make
20% profit on what I pay for the labor, what is the calculation and factoring
process?
I see it like this
(x*.2)+x = 150
but I don't know how to factor it out from there. Penny Nom lui répond. |
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The sum of the digits of 2^100 |
2005-06-11 |
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Richard pose la question : The sum of the digits was calculated for the number 2100, then the sum of the digits was calculated for the resulting number and so on, until a single digit is left. Penny Nom lui répond. |
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The size of a lot |
2005-06-09 |
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Bob pose la question : Is it possible to determine the square footage and acreage of a residential lot that's straight on 3 sides, and triangular on the 4th side?
As shown in the crude sketch below, the two legs of the triangle at the back end of the lot are 61' and 62'. Penny lui répond. |
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Digging a hole for a pool |
2005-06-08 |
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Debra pose la question : I need to have dirt hauled away from my built in pool and the haulers are asking me how many yards of dirt there is. How would I figure that out? It is a 24 ft round pool and 3 inches of soil depth was dug out. Penny lui répond. |
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