Solve for x

Question

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

0.699
0.699

12.618
12.618

−11.221
negative 11.221

12.619

Answer 1

To solve the equation \( 102.5(x - 11.92) = 71.6 \), we can follow these steps:

1. Divide both sides by 102.5 to isolate \( x - 11.92 \): \[ x - 11.92 = \frac{71.6}{102.5} \]

2. Calculate \( \frac{71.6}{102.5} \): \[ \frac{71.6}{102.5} \approx 0.698048 \]

3. Add 11.92 to both sides to solve for \( x \): \[ x = 0.698048 + 11.92 \approx 12.618048 \]

4. Round the answer to three decimal places: \[ x \approx 12.618 \]

Thus, the correct answer is \( \boxed{12.618} \).