Question

solve rounding to three decimal places
102.5(x-11.92)= 71.6

Answer 1

To solve the equation \( 102.5(x - 11.92) = 71.6 \), we first isolate \( x \):

1. Divide both sides by 102.5:

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

Calculating the right side:

\[
\frac{71.6}{102.5} \approx 0.6980 \quad (\text{rounded to four decimal places})
\]

2. Now, we have:

\[
x - 11.92 \approx 0.6980
\]

3. Add \( 11.92 \) to both sides:

\[
x \approx 0.6980 + 11.92
\]

Calculating this gives:

\[
x \approx 12.6180 \quad (\text{rounded to four decimal places})
\]

4. Now, rounding \( x \) to three decimal places:

\[
x \approx 12.618
\]

Thus, the final answer is:

\[
\boxed{12.618}
\]