Question

Cary calculated the surface area of a box in the shape of a rectangular prism. She wrote the equation mc023-1.jpg to represent the width and height of the box. She solved for w and got mc023-2.jpg Which of the following is an equivalent equation?

Answer 1

Multiply top and bottom by 2 to get...
\[\Large w = \frac{74-6h}{h+6}\]
\[\Large w = \frac{2*(74-6h)}{2*(h+6)}\]
\[\Large w = \frac{2*(74)+2*(-6h)}{2*(h)+2*(6)}\]
\[\Large w = \frac{148-12h}{2h+12}\]
\[\Large w = \frac{148-12h}{12+2h}\]
So that shows choice B is equivalent to the given equation for w.

Answer 2

This is a more complicated way of saying something like 1/2 is equivalent to 4/8 (multiply top and bottom by 4)

or 7/10 is equivalent to 14/20 (multiply top and bottom by 2)

Answer 3

okay i understand now. thank you again

Answer 4

sure thing