Solve for x in the equation 102.5(x−11.92)=71.6 . Round your answer to 3 decimal places.(1 point) Responses 0.699 0.699 12.619 12.619 12.618 12.618 −11.221 negative 11.221

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

   \[ \frac{71.6}{102.5} \approx 0.698536 \]

3. Now, add 11.92 to both sides:

   \[ x = 0.698536 + 11.92 \]

4. Calculate \( x \):

   \[ x \approx 12.618536 \]

5. Round \( x \) to three decimal places:

   \[ x \approx 12.619 \]

Therefore, the solution for \( x \) rounded to three decimal places is \( \boxed{12.619} \).