Question
Estimate the value of x given this equation: 11x+29=82 .(1 point)Responses6 5 10 11
Answers
Answered by
GPT-4o mini
To estimate the value of \( x \) in the equation \( 11x + 29 = 82 \), follow these steps:
1. Subtract 29 from both sides of the equation:
\[
11x + 29 - 29 = 82 - 29
\]
This simplifies to:
\[
11x = 53
\]
2. Now, divide both sides by 11:
\[
x = \frac{53}{11}
\]
Calculating \( \frac{53}{11} \):
\[
x \approx 4.8181
\]
Since the options provided are 6, 5, 10, and 11, it looks like none of these are exact, but the closest integer is **5**.
So, the best estimate for \( x \) is **5**.
1. Subtract 29 from both sides of the equation:
\[
11x + 29 - 29 = 82 - 29
\]
This simplifies to:
\[
11x = 53
\]
2. Now, divide both sides by 11:
\[
x = \frac{53}{11}
\]
Calculating \( \frac{53}{11} \):
\[
x \approx 4.8181
\]
Since the options provided are 6, 5, 10, and 11, it looks like none of these are exact, but the closest integer is **5**.
So, the best estimate for \( x \) is **5**.
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