Can anyone explain how to do this thank youu!

8/15 = 24/x
A. x = 60
B. x = 12.8
C. x = 5
D. x = 45

8/15 = 24/x

Cross multiply.

15 * 24 = 360

8x = 360

Divide both sides by 8.

8x divided by 8 would cancel the 8 out so it would just be x and 360 divided by 8 is 45 so x=45?

thank you!

You are welcome.

Certainly! To solve the equation 8/15 = 24/x, you can use cross-multiplication.

First, multiply 8 by x and 15 by 24:

8 * x = 15 * 24

This simplifies to:

8x = 360

Next, divide both sides of the equation by 8 to solve for x:

8x/8 = 360/8

This simplifies to:

x = 45

Therefore, the value of x that satisfies the equation is x = 45.

In this case, option D is the correct answer: x = 45.