Question
When the value of r is 23, the equation 3r−47.5=21.5 is a true statement. Which of the following values of r makes the inequality 3r−47.5>21.5 a true statement? (1 point)
Responses
23.5
23.5
22
22
22.5
22.5
23
23
Skip to navigation
Responses
23.5
23.5
22
22
22.5
22.5
23
23
Skip to navigation
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine which value of \( r \) makes the inequality \( 3r - 47.5 > 21.5 \) a true statement, let's first solve the inequality.
Starting with the inequality:
\[
3r - 47.5 > 21.5
\]
Add \( 47.5 \) to both sides:
\[
3r > 21.5 + 47.5
\]
\[
3r > 69
\]
Now, divide both sides by \( 3 \):
\[
r > 23
\]
The value of \( r \) must be greater than \( 23 \) for the inequality to be true. Now, let's evaluate the provided options:
1. \( 23.5 \) (True, since \( 23.5 > 23 \))
2. \( 22 \) (False, since \( 22 < 23 \))
3. \( 22.5 \) (False, since \( 22.5 < 23 \))
4. \( 23 \) (False, since \( 23 \) is equal to \( 23 \))
The only value of \( r \) that satisfies the inequality \( 3r - 47.5 > 21.5 \) is:
**23.5**.
Starting with the inequality:
\[
3r - 47.5 > 21.5
\]
Add \( 47.5 \) to both sides:
\[
3r > 21.5 + 47.5
\]
\[
3r > 69
\]
Now, divide both sides by \( 3 \):
\[
r > 23
\]
The value of \( r \) must be greater than \( 23 \) for the inequality to be true. Now, let's evaluate the provided options:
1. \( 23.5 \) (True, since \( 23.5 > 23 \))
2. \( 22 \) (False, since \( 22 < 23 \))
3. \( 22.5 \) (False, since \( 22.5 < 23 \))
4. \( 23 \) (False, since \( 23 \) is equal to \( 23 \))
The only value of \( r \) that satisfies the inequality \( 3r - 47.5 > 21.5 \) is:
**23.5**.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.