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Quandaries & Queries
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 Topic: reduce
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Selling items at a reduced price 2015-01-09
From Kent:
I have an item I sell for \$19.95 and make a profit of \$10.97 for each sale. If I reduce the price to \$14.97, my profit is \$5.99 each sale. Is there a formula to determine how many more I would need to sell at \$5.99 per sale to make the same net cash (profit) as selling at \$10.97 per sale?
Reducing by a scale factor of 1/3 2011-11-21
From Sandra:
A rectangle with the dimensions of 6.3 cm and 5.8 cm is reduced by a scale factor of 1/3. What are the dimensions of the new image?
The rectangle is reduced to 90% of its original size 2011-03-31
From stephon:
A rectangle has a length of 4cm and a width of 8cm.

If this rectangle is reduced to 90% of its original size what will be the new length

The volume is decreased by 25% 2008-11-17
From Wanda:
If the volume of a sphere is decreased by 25%, what is the new equation?
A matrix problem 2005-04-04
From Alan:
 Let A = 1 -1 0 2 -1 2 a b c

where a, b, c are constant real numbers. For what values of a, b, c is A invertible? [Hint: Your answer should be an equation in a, b, c which satisfied if and only if A is invertible.]

Water in a cone 2003-08-12

Water is poured into a tank in the shape of an inverted right circular cone.ð The height of the tank is 8 m and its radius at the top is 4 m.

a. Draw and label a picture to represent this situation.ð (I know how to do this)

b. Identify all variable quantities. (h = 8m, r = 4m)

c. Find an equation that relates the variable quantities, and reduce the number of variable quantities to two.

I was thinking about the equation V = 1/3 pi r2 h, which is the Volume of a cone, but I am stumped as to how I am supposed to "reduce the number of variable quantities to two." Can you point me in the right direction?

Augmented matrix 2002-12-31
From Michelle:
I am trying to augment a matrix so that i can find the values of the variables a, b, and c. For the life of me i can't find a solution to the matrix: 3 -5 2 ' 22 2 3 -1 ' -9 4 3 3 ' 1 I thank you for your help, Michelle
Reduce 79,537/3,623,420 2001-12-13
From Eliana:
How do you reduce 79,537/3,623,420.
A system of equations in five unknowns 2000-03-20
From Will:
I have been having some problem with the following question for some time. I would appreciate any help on solving the problem or a solution.

Q: Assume that a system of equations in the unknowns x1, x2, x3, x4 and x5 when converted to row echelon form gives

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