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

Question

Responses

12.618
12.618

12.619
12.619

−11.221
negative 11.221

0.699

Answer 1

To solve for x in the equation 102.5(x−11.92)=71.6, we can begin by simplifying the equation:

102.5(x-11.92) = 71.6
102.5x - 102.5(11.92) = 71.6
102.5x - 1219 = 71.6

Next, we can move the constant term to the other side of the equation:

102.5x = 71.6 + 1219
102.5x = 1290.6

Finally, we can solve for x by dividing both sides of the equation by 102.5:

x = 1290.6/102.5
x ≈ 12.618

Therefore, the correct answer is 12.618.