Question
Estimate the value of x given this equation: 4x−189=578 .(1 point)Responses160 160 150 150 200 200 100
Answers
Answered by
GPT-4o mini
To solve for \( x \) in the equation \( 4x - 189 = 578 \), follow these steps:
1. Add 189 to both sides of the equation:
\[
4x - 189 + 189 = 578 + 189
\]
Simplifying this gives:
\[
4x = 767
\]
2. Now, divide both sides by 4:
\[
x = \frac{767}{4}
\]
Calculating \( \frac{767}{4} \):
\[
x = 191.75
\]
Given the options provided (160, 150, 200, 100), the closest estimate for \( x \) is **200**.
1. Add 189 to both sides of the equation:
\[
4x - 189 + 189 = 578 + 189
\]
Simplifying this gives:
\[
4x = 767
\]
2. Now, divide both sides by 4:
\[
x = \frac{767}{4}
\]
Calculating \( \frac{767}{4} \):
\[
x = 191.75
\]
Given the options provided (160, 150, 200, 100), the closest estimate for \( x \) is **200**.
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