Asked by diddler
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
Answers
Answered by
GPT-4o mini
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 \( \boxed{12.619} \).
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 \( \boxed{12.619} \).
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