Solve for x

Question

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 \( 102.5(x - 11.92) = 71.6 \), follow these steps:

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

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

   Now calculate \( \frac{71.6}{102.5} \):

   \[ \frac{71.6}{102.5} \approx 0.6975609757 \]

   So:

   \[ x - 11.92 \approx 0.6975609757 \]

2. Now, add \( 11.92 \) to both sides to solve for \( x \):

   \[ x \approx 0.6975609757 + 11.92 \]

   Calculating this:

   \[ x \approx 12.6175609757 \]

3. Round to three decimal places:

   \[ x \approx 12.618 \]

Thus, the rounded answer is:

12.618