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 by 102.5 to isolate \( (x - 11.92) \):

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

2. Calculate the right side:

   \[ x - 11.92 = 0.6980487805 \quad (\text{approximately}) \]

3. Add 11.92 to both sides to solve for \( x \):

   \[ x = 0.6980487805 + 11.92 \]

   \[ x \approx 12.6180487805 \]

4. Round to three decimal places:

   \[ x \approx 12.618 \]

So, the correct answer is:

\(\boxed{12.618}\)