Once your friend has thought of a number, do the following:
1. Ask him or her to multiply the chosen number by 2.
2.Choose an even number to use yourself. Ask your friend to add this number to the one in his head.
3.Tell him/her to divide the new number by 2.
4.Tell your friend to subtract his original number from the equation.
5."Guess" the number.
:)
Answer: You should cut out squares that are 4 inches by 4 inches.
One of the ways to do this problem is write and graph an equation. We can write an equation for the volume of this shape and then use a graphing calculator to graph it. If we look where the graph crosses 440, we will have our solution.
The volume needs to be 440. If we let x equal the side of the square that is cut out, we have the following dimensions.
Length = 19 - 2x
Width = 18 - 2x
Height = x
Volume = LWH
So our equation could be: y = (19 - 2x)(18 - 2x)x
If you graph that equation, it will intersect at the point (4, 440). Therefore, our square could be 4 by 4 inches.
Answer: 35 t shirts
Step-by-step explanation:
Let number of t shirts be x
Let profit made be y
On main street, the store costs $650,
Selling the t shirt at $32 per 1
He would make a revenue of 32x
Profit = revenue - cost accrued
y1 = 32x - 650
On Broad street, the store costs $440,
Selling the t shirt at $26 per 1
He would make a revenue of 26x
Profit = revenue - cost accrued
y2 = 26x - 440
To make same profit on either location
y1 = y2
32x - 650 =26x - 440
32x -26x = -440+650
6x = 210
x = 210/6
= 35 t shirts
