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

Question

Responses

12.619

0.699

12.618

−11.221

Answer 1

To solve 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-hand side:

\[ \frac{71.6}{102.5} \approx 0.698048 \]

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

\[ x = 11.92 + 0.698048 \]

Calculating that:

\[ x \approx 12.618048 \]

Rounding to three decimal places gives:

\[ x \approx 12.618 \]

So the answer is \(\boxed{12.618}\).