Question

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

−11.221
negative 11.221

0.699
0.699

12.619
12.619

12.618

Answer 1

To solve for \( x \) in the equation

\[
102.5(x - 11.92) = 71.6,
\]

we first divide both sides by 102.5:

\[
x - 11.92 = \frac{71.6}{102.5}.
\]

Calculating the right side:

\[
\frac{71.6}{102.5} \approx 0.6985.
\]

Now, we can add \( 11.92 \) to both sides:

\[
x = 11.92 + 0.6985.
\]

Calculating this gives:

\[
x \approx 12.6185.
\]

Rounding to three decimal places:

\[
x \approx 12.619.
\]

The correct answer is:

**12.619**