Find the value of x that makes the fractions equivalent.

5 over 6 equals 35 over x
(1 point)
Responses

42
42

36
36

46
46

48

42

To find the value of x that makes the fractions equivalent, we can set up an equation using the given information.

The equation representing the equivalent fractions is:

5/6 = 35/x

To solve for x, we can cross-multiply:

5x = 6 * 35

Now, we can simplify the equation:

5x = 210

To isolate x, divide both sides of the equation by 5:

x = 210/5

Simplifying the right side:

x = 42

Therefore, the value of x that makes the fractions equivalent is 42.