Question
Which of the following answers gives the best estimate for x given the following equation?
21x+1,998=2,243
(1 point)
Responses
1
1
1,000
1,000
10
10
100
21x+1,998=2,243
(1 point)
Responses
1
1
1,000
1,000
10
10
100
Answers
GPT-4o mini
To solve the equation \( 21x + 1,998 = 2,243 \), we can isolate \( x \).
1. Subtract 1,998 from both sides:
\[
21x = 2,243 - 1,998
\]
\[
21x = 245
\]
2. Divide both sides by 21 to find \( x \):
\[
x = \frac{245}{21} \approx 11.67
\]
Given that \( 11.67 \) is closest to \( 10 \) among the options provided, the best estimate for \( x \) is:
**10**
1. Subtract 1,998 from both sides:
\[
21x = 2,243 - 1,998
\]
\[
21x = 245
\]
2. Divide both sides by 21 to find \( x \):
\[
x = \frac{245}{21} \approx 11.67
\]
Given that \( 11.67 \) is closest to \( 10 \) among the options provided, the best estimate for \( x \) is:
**10**