 |
|
|
|
|
|
|
|
|
Maximize |
2000-03-12 |
|
From Tara Doucet:
My question is Maximize Q=xy^2 (y is to the exponent 2) where x and y are positive integers such that x + y^2 ( y is to the exponent 2)=4
Answered by Harley Weston. |
|
|
|
|
|
|
An equilateral triangle in a circle |
2000-03-11 |
|
From Michael Setlik:
An equilateral triangle is drawn within a circle such that all three points of the triangle just touch the inside of the circle. Given the diameter of the cicle as six inches what is the length of the sides of the triangle?
Answered by Harley Weston. |
|
|
|
|
|
|
Simultaneous equations |
2000-03-11 |
|
From Laura Molck:
My name is Laura Molck and I am in Year 11 in Australia. Please help me with the following. I know that they are all simultaneous equations which I can do but I have trouble with the formulae to work the equations. Can you please help!! 1. A tent manufacturer produces 2 models, Outback and Bushwalker. From earlier sales records it is known that 20% more of the Outback model is sold than the Bushwalker. A profit of $200 is made on each Outback sold, but $350 is made on each Bushwalker. If during the next year a profit of $177,000 is planned how many of each model must be sold?
Answered by Penny Nom. |
|
|
|
|
|
|
Completing the square |
2000-03-11 |
|
From Sandra:
How do i complete the square and leave in simple radical form? x squared + 18x - 17=0
Answered by Penny Nom. |
|
|
|
|
|
|
Congruent parts of congruent figures |
2000-03-10 |
|
From Erica:
Yesterday, I recieved a test problem asking to prove two line segments equal. Here is the problem as I was given it: Given: paralleogram ABCD
AE is perpendicular to DB
CF is perpendicular to DB
Prove: AE is equal to CF I answered the problem as follows:
.
.
.
Answered by Walter Whiteley. |
|
|
|
|
|
|
A goat problem |
2000-03-10 |
|
From Nancy:
A farmer has a fenced-in, circular field with an area of about one acre. A goat in the field is tethered to one of the fence posts with a rope which gives the goat approximately one-half acre of grazing area. To the nearest foot, how long is the rope?
Answered by Chris Fisher. |
|
|
|
|
|
|
Systems of linear equations |
2000-03-10 |
|
From Ann Marie Devereux:
hi there!!, I guess I have a problem!!! 3x+4y=10 (over)
4x+y=9 2x=5y+3 (over)
x=3y+1
Answered by Penny Nom. |
|
|
|
|
|
|
Grazing area for a goat |
2000-03-10 |
|
From Amy:
A goat is tied in the middle of a side of a square building whose sides are 2 yards long. The rope is 4 yards long. What is the grazing area for the goat?
Answered by Harley Weston. |
|
|
|
|
|
|
Box and whisker plots |
2000-03-09 |
|
From Brett Blake:
Do you have any information on Box and whisker graphs?
Answered by Harley Weston. |
|
|
|
|
|
|
Some equations |
2000-03-08 |
|
From Maria:
Hi, could you help me with these questions: Find x & solve - 7-2x/3=9
- 4x+3/5=-2
- 6-2x=14
- -1/7x=-4/3+1/6
Answered by Penny Nom. |
|
|
|
|
|
|
Mathematical deduction and mathematical induction |
2000-03-07 |
|
From Espera Pax:
What are mathematical deduction and mathematical induction, and what is the difference between them?
Answered by Harley Weston. |
|
|
|
|
|
|
Making dolls |
2000-03-07 |
|
From A 6th grader:
How many small dolls can be made from 3 lbs. of dough if each doll uses 7/8 lbs
same question if each doll takes 3/8 lbs.
Answered by Penny Nom. |
|
|
|
|
|
|
A mixture problem |
2000-03-06 |
|
From Rebecca Edwards:
A tank in which cholocate milk is being mixed contains a mixture of 460 liters of milk and 40 liters of chocolate syrup initially. Syrup and milk are then added to the tank at the rate of 2 liters per minute of syrup and 8 liters of milk per minute. Simultaneously the mixture is withdrawn at the rate of 10 liters per minute. Find the function giving the amount of syrup in the tank at time t.
Answered by Harley Weston. |
|
|
|
|
|
|
Is a sheet of paper 2-dimensional? |
2000-03-06 |
|
From Jaclyn Evans:
One day, we were discussing 3-dimensional items. Is a sheet of paper considered a 3-dimensional shape? Or is it 2-dimensional as described by 8.5 by 11 size? Also, could you give me an example of a 4-dimensional item or scenario?
Answered by Harley Weston. |
|
|
|
|
|
|
10 000 000 = a x b |
2000-03-06 |
|
From Spencer Jaffe:
What two numbers that don't end in zero, multiplied equal 10,000,000.
Answered by Claude tardif. |
|
|
