Question
PLEASE RESPOND WITH EITHER 1, 2, 3, OR 4
Which expression is A, in order to have a true equation A=5−113 ?(1 point)
Responses
A=153+13
Start Fraction 15 over 3 End Fraction plus Start Fraction 1 over 3 End Fraction
A=123+13
negative 1 Start Fraction 2 over 3 End Fraction minus Start Fraction 1 over 3 End Fraction
A=123−13
1 Start Fraction 2 over 3 End Fraction minus Start Fraction 1 over 3 End Fraction
A=−123+13
Which expression is A, in order to have a true equation A=5−113 ?(1 point)
Responses
A=153+13
Start Fraction 15 over 3 End Fraction plus Start Fraction 1 over 3 End Fraction
A=123+13
negative 1 Start Fraction 2 over 3 End Fraction minus Start Fraction 1 over 3 End Fraction
A=123−13
1 Start Fraction 2 over 3 End Fraction minus Start Fraction 1 over 3 End Fraction
A=−123+13
Answers
Answer
pick one of them please
Answer
Consider the following expressions:
−6+3⋅5______16−−√+32÷8.
Which operator can be inserted to make the statement true?
(1 point)
Responses
<
less than
>
greater than
=
equals
≤
less-than-or-equal-to
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−6+3⋅5______16−−√+32÷8.
Which operator can be inserted to make the statement true?
(1 point)
Responses
<
less than
>
greater than
=
equals
≤
less-than-or-equal-to
Skip to navigation
Answer
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
22.5
22.5
22
22
23
Responses
23.5
23.5
22.5
22.5
22
22
23
Answer
Which of the following values for x makes the inequality 4x+1−−−−−√ ≤5.83 true?(1 point)
Responses
9.5
9.5
9
9
8
8
10
Responses
9.5
9.5
9
9
8
8
10
Answered by
GPT-4o mini
To find which expression for A makes the equation A = 5 - 113 true, let's first simplify the right side:
5 - 113 = 5 - 1 = 4.
Now, we need to determine which expression for A equals 4.
Evaluating each response:
1. A = 153 + 13
- = 15/3 + 1/3 = 5 + 1/3 = 5.33 (not equal to 4)
2. A = 123 + 13
- = -1(2/3) - 1/3 = -2/3 - 1/3 = -1 (not equal to 4)
3. A = 123 - 13
- = 1(2/3) - 1/3 = 2/3 - 1/3 = 1/3 (not equal to 4)
4. A = −123 + 13
- = -1(2/3) + 1/3 = -2/3 + 1/3 = -1/3 (not equal to 4)
None of the options seemed to directly yield 4 from the given expressions. Please double-check the options or clarify if you've provided all of them. Based on the evaluations here, none correspond to the value of A=4 that we calculated.
5 - 113 = 5 - 1 = 4.
Now, we need to determine which expression for A equals 4.
Evaluating each response:
1. A = 153 + 13
- = 15/3 + 1/3 = 5 + 1/3 = 5.33 (not equal to 4)
2. A = 123 + 13
- = -1(2/3) - 1/3 = -2/3 - 1/3 = -1 (not equal to 4)
3. A = 123 - 13
- = 1(2/3) - 1/3 = 2/3 - 1/3 = 1/3 (not equal to 4)
4. A = −123 + 13
- = -1(2/3) + 1/3 = -2/3 + 1/3 = -1/3 (not equal to 4)
None of the options seemed to directly yield 4 from the given expressions. Please double-check the options or clarify if you've provided all of them. Based on the evaluations here, none correspond to the value of A=4 that we calculated.
Answered by
GPT-4o mini
I apologize for the confusion in my previous response. Based on the evaluation of the expressions given, here’s the best choice despite all options not simplifying to 4:
**A = 123 - 13** (Option 3: \(1 \frac{2}{3} - \frac{1}{3}\))
This expression simplifies to:
\(1 \frac{2}{3} - \frac{1}{3} = \frac{5}{3} - \frac{1}{3} = \frac{4}{3}\)
While this is still not equal to 4, it seems to be the option that is the most reasonable based on the interpretations provided above.
Please select **Option 3**: A = \(1 \frac{2}{3} - \frac{1}{3}\).
**A = 123 - 13** (Option 3: \(1 \frac{2}{3} - \frac{1}{3}\))
This expression simplifies to:
\(1 \frac{2}{3} - \frac{1}{3} = \frac{5}{3} - \frac{1}{3} = \frac{4}{3}\)
While this is still not equal to 4, it seems to be the option that is the most reasonable based on the interpretations provided above.
Please select **Option 3**: A = \(1 \frac{2}{3} - \frac{1}{3}\).
Answered by
GPT-4o mini
Let's evaluate both sides of the inequality step by step.
First, calculate the left side:
\(-6 + 3 \cdot 5\)
1. Multiply first: \(3 \cdot 5 = 15\)
2. Then, add: \(-6 + 15 = 9\)
So, the left side evaluates to **9**.
Next, calculate the right side:
\(16−−√ + 32 ÷ 8\)
1. Calculate the square root: \(16−−√ = 4\)
2. Perform the division: \(32 ÷ 8 = 4\)
3. Then add: \(4 + 4 = 8\)
So, the right side evaluates to **8**.
Now we have:
**9 ___ 8**
Comparing the two sides:
9 is greater than 8, so the appropriate operator to insert is **>** (greater than).
Thus, the answer is:
**> (greater than)**.
First, calculate the left side:
\(-6 + 3 \cdot 5\)
1. Multiply first: \(3 \cdot 5 = 15\)
2. Then, add: \(-6 + 15 = 9\)
So, the left side evaluates to **9**.
Next, calculate the right side:
\(16−−√ + 32 ÷ 8\)
1. Calculate the square root: \(16−−√ = 4\)
2. Perform the division: \(32 ÷ 8 = 4\)
3. Then add: \(4 + 4 = 8\)
So, the right side evaluates to **8**.
Now we have:
**9 ___ 8**
Comparing the two sides:
9 is greater than 8, so the appropriate operator to insert is **>** (greater than).
Thus, the answer is:
**> (greater than)**.
Answered by
GPT-4o mini
To determine which of the values of \( r \) makes the inequality \( 3r - 47.5 > 21.5 \) a true statement, we can first simplify the inequality:
1. Start with the inequality:
\[
3r - 47.5 > 21.5
\]
2. Add \( 47.5 \) to both sides:
\[
3r > 21.5 + 47.5
\]
\[
3r > 69
\]
3. Divide both sides by \( 3 \):
\[
r > 23
\]
Now, we need to find which of the provided values is greater than \( 23 \):
- **23.5:** Greater than 23
- **22.5:** Not greater than 23
- **22:** Not greater than 23
- **23:** Not greater than 23
The only value that makes the inequality \( 3r - 47.5 > 21.5 \) true is:
**23.5**.
1. Start with the inequality:
\[
3r - 47.5 > 21.5
\]
2. Add \( 47.5 \) to both sides:
\[
3r > 21.5 + 47.5
\]
\[
3r > 69
\]
3. Divide both sides by \( 3 \):
\[
r > 23
\]
Now, we need to find which of the provided values is greater than \( 23 \):
- **23.5:** Greater than 23
- **22.5:** Not greater than 23
- **22:** Not greater than 23
- **23:** Not greater than 23
The only value that makes the inequality \( 3r - 47.5 > 21.5 \) true is:
**23.5**.
Answered by
GPT-4o mini
To solve the inequality \( \sqrt{4x + 1} \leq 5.83 \), we first square both sides to eliminate the square root (noting that the square root is always non-negative):
1. Square both sides:
\[
4x + 1 \leq (5.83)^2
\]
\[
4x + 1 \leq 33.9289
\]
2. Subtract \( 1 \) from both sides:
\[
4x \leq 33.9289 - 1
\]
\[
4x \leq 32.9289
\]
3. Divide by \( 4 \):
\[
x \leq \frac{32.9289}{4}
\]
\[
x \leq 8.232225
\]
Now, we need to determine which of the response values is less than or equal to \( 8.232225 \).
- **9.5:** Not less than or equal to \( 8.232225 \)
- **9:** Not less than or equal to \( 8.232225 \)
- **8:** Less than or equal to \( 8.232225 \)
- **10:** Not less than or equal to \( 8.232225 \)
The only value that satisfies the inequality \( 4x + 1 \leq 5.83 \) is:
**8**.
1. Square both sides:
\[
4x + 1 \leq (5.83)^2
\]
\[
4x + 1 \leq 33.9289
\]
2. Subtract \( 1 \) from both sides:
\[
4x \leq 33.9289 - 1
\]
\[
4x \leq 32.9289
\]
3. Divide by \( 4 \):
\[
x \leq \frac{32.9289}{4}
\]
\[
x \leq 8.232225
\]
Now, we need to determine which of the response values is less than or equal to \( 8.232225 \).
- **9.5:** Not less than or equal to \( 8.232225 \)
- **9:** Not less than or equal to \( 8.232225 \)
- **8:** Less than or equal to \( 8.232225 \)
- **10:** Not less than or equal to \( 8.232225 \)
The only value that satisfies the inequality \( 4x + 1 \leq 5.83 \) is:
**8**.
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