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Two modular equations |
2008-10-08 |
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From Mhiko: please solve this Chinese remainder problem..and give me a solution or rule in order to solve this problem/
x=2mod15
x=1mod25 Answered by Stephen La Rocque. |
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Maximize revenue |
2008-10-08 |
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From Donna: 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. Answered by Penny Nom. |
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The dimensions of a pool |
2008-10-08 |
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From Justine: This may be a really silly question but I am trying to work out what the possible dimension a pool may be if we have 20m length of wall of an above ground pool (laid out flat on ground)
We have been given a second hand above ground pool and we know it was in an oval configuration and we are just trying to get a guesstimate of the potential size it may be as the people couldn't tell us the size Answered by Penny Nom. |
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Three consecutive integers |
2008-10-07 |
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From pam: Find three consecutive integers such that the greatest increased by twice the least is 293. Answered by Penny Nom & Chris Fisher. |
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A linear equation with fractions |
2008-10-07 |
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From Christopher: 1/6(x-18)+1/8(x+8)=x-9 Answered by Penny Nom. |
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The rise over the run |
2008-10-07 |
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From Mak: what is the ratio of the rise to run? Answered by Penny Nom. |
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A double discount |
2008-10-06 |
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From Joanna: An instrument store gives a 10% discount to all students off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price. Julie, a student at the local high school, purchases a flute for $306. How much did it originally cost? Answered by Penny Nom. |
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Area of a semicircle |
2008-10-06 |
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From Benjamin: How do you find the area of a semi-circle if the diameter is a variable. Answered by Penny Nom. |
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Octagon angles |
2008-10-06 |
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From John: My daughter wants to build an octagon using PVC pipe fittings. There are several pipe "elbows" available, including 45 degree. I'm trying to determine if if an octagon can be constructed by using 8 pairs of 45 degree elbows, connected to each other by 8 sections of straight pipe of some equal legnth. This makes sense to me intiutively, but I do not know how this can be properly expressed in geometric terms. Answered by Chris Fisher, Victoria West and Harley Weston. |
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The average rate of change of gasoline used |
2008-10-06 |
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From JHulie: What is the average rate of change of gasoline used, measured in miles per gallons
if you travel 212 miles, then you fill your gas tank up again and it takes 10.8 gallons.
If you designate your change in distance as 212 miles and your change in gallons as 10.8? Answered by Penny Nom. |
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equivalent fractions |
2008-10-06 |
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From marcella: a fraction equivalent to 16/20 Answered by Harley Weston. |
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Logs and exponentials |
2008-10-06 |
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From Charles: I seem to remember you could solve exponential problems using natural logs quite simply without calculators, such as the fifth root of 400 or 33 to the 4th power. All you did was convert the number to its natural log and then just divide by 5 or multiply by 4 and then convert it back. I just remember how to do this. Thanks. Answered by Harley Weston. |
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The height of a right triangle |
2008-10-06 |
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From David: Could you please tell me the height of a right angle triangle when the base measurement is 4930mm and the base/hypotenuse angle is 10 degrees.
this will help a lot. Answered by Harley Weston. |
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Algebraic fractions |
2008-10-06 |
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From Kayla: (x^2-9)/x times (x^3-4x)/(x^2+5x+6) Answered by Harley Weston. |
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Solving an Equation with a Square Root |
2008-10-05 |
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From Jonathan: the square root of 3x+18 = x
3x+18 are within the square root Answered by Victoria West. |
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