identify the value of x that makes each pair of radios equivalent

1. 2:x and 12:18
A. 3
B. 4
C. 6

1 answer

To find the value of x that makes the ratios 2:x and 12:18 equivalent, you need to find the greatest common factor between 2 and 12, and between x and 18.

The greatest common factor between 2 and 12 is 2. To make the ratio 12:18 equivalent, you need to divide both numbers by 2, which gives you the ratio 6:9.

So, to make the ratios 2:x and 12:18 equivalent, you need to set up the following equation:

2/x = 6/9

To solve for x, you can cross-multiply and simplify:

2(9) = 6(x)

18 = 6x

x = 3

Therefore, the value of x that makes the ratios 2:x and 12:18 equivalent is 3. Answer choice A is correct.