Question

Solve for x in the equation 102.5(x−11.92)=71.6 . Round your answer to 3 decimal places.(1 point)
Responses

12.619
12.619

0.699
0.699

−11.221
negative 11.221

12.618
12.618

Answer 1

To solve the equation, we need to isolate the variable x. We can do this by dividing both sides of the equation by 102.5:

102.5(x - 11.92) = 71.6
(x - 11.92) = 71.6/102.5
(x - 11.92) = 0.6985365853658536

Now, we can add 11.92 to both sides of the equation to isolate x:

x - 11.92 + 11.92 = 0.6985365853658536 + 11.92
x = 12.618536585365852

Rounded to 3 decimal places, x = 12.618.