Solve for x

Question

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

12.618
12.618

−11.221
negative 11.221

12.619
12.619

0.699

Answer 1

To solve the equation \( 102.5(x - 11.92) = 71.6 \):

1. Start by isolating \( x - 11.92 \): \[ x - 11.92 = \frac{71.6}{102.5} \] Calculate \( \frac{71.6}{102.5} \): \[ \frac{71.6}{102.5} \approx 0.6985 \]

2. Now, substitute back: \[ x - 11.92 \approx 0.6985 \]

3. To solve for \( x \), add \( 11.92 \) to both sides: \[ x \approx 0.6985 + 11.92 \approx 12.6185 \]

4. Round the answer to three decimal places: \[ x \approx 12.619 \]

So the answer is: 12.619.