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

Question

Responses

−11.221
negative 11.221

12.619
12.619

12.618
12.618

0.699
0.699

Answer 1

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

1. Divide both sides of the equation by \( 102.5 \):

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

2. Calculate \( \frac{71.6}{102.5} \):

\[ \frac{71.6}{102.5} \approx 0.69756097566 \]

3. Now, add \( 11.92 \) to both sides:

\[ x = 11.92 + 0.69756097566 \]

4. Calculate \( 11.92 + 0.69756097566 \):

\[ x \approx 12.61756097566 \]

5. Round the result to three decimal places:

\[ x \approx 12.618 \]

Thus, the final answer is:

\[ \boxed{12.618} \]