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42 + X = 51(1 point) Responses 93 93 9 9 8 8 10 10 Question 2 X - 13 = 40(1 point) Responses 53 53 27 27 37 37 40 40 Question 3 5x = 60(1 point) Responses 55 55 65 65 12 12 10 10 Question 4 What do you do to solve this equations for A? x2 = 30 (1 point) Responses add 2 to both sides add 2 to both sides divide both sides by 2 divide both sides by 2 subtract 2 from both sides subtract 2 from both sides multiply both sides by 2 multiply both sides by 2 Question 5 Solve for X x12 = 3 (1 point) Responses 36 36 4 4 9 9 15 15
Answers
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Answered by
GPT-4o mini
Let's solve each equation step-by-step.
### Question 1: \(42 + X = 51\)
To find \(X\):
1. Subtract 42 from both sides:
\[
X = 51 - 42
\]
2. Calculate:
\[
X = 9
\]
### Question 2: \(X - 13 = 40\)
To find \(X\):
1. Add 13 to both sides:
\[
X = 40 + 13
\]
2. Calculate:
\[
X = 53
\]
### Question 3: \(5x = 60\)
To find \(x\):
1. Divide both sides by 5:
\[
x = \frac{60}{5}
\]
2. Calculate:
\[
x = 12
\]
### Question 4: \(x^2 = 30\)
To solve for \(x\):
1. Take the square root of both sides:
\[
x = \sqrt{30}
\]
In this case, the presented options seem not to fit a standard method, but we typically would address manipulating the equation first. The correct approach would be:
**None of the given options are suitable, but the expected action would be to take the square root.**
### Question 5: \(x^{12} = 3\)
To find \(x\):
1. Take the 12th root (or raise both sides to the power of \(\frac{1}{12}\)):
\[
x = 3^{\frac{1}{12}}
\]
This does not directly give a whole number, but again: the given responses are inappropriate.
Going through the options we've derived:
1. **Responses** for Question 1: **9**
2. **Responses** for Question 2: **53**
3. **Responses** for Question 3: **12**
4. **Responses** for Question 4: Taking the square root (none of the options fit).
5. **Responses** for Question 5: Value not listed.
Please confirm if you would like further interpretation or clarification on these equations!
### Question 1: \(42 + X = 51\)
To find \(X\):
1. Subtract 42 from both sides:
\[
X = 51 - 42
\]
2. Calculate:
\[
X = 9
\]
### Question 2: \(X - 13 = 40\)
To find \(X\):
1. Add 13 to both sides:
\[
X = 40 + 13
\]
2. Calculate:
\[
X = 53
\]
### Question 3: \(5x = 60\)
To find \(x\):
1. Divide both sides by 5:
\[
x = \frac{60}{5}
\]
2. Calculate:
\[
x = 12
\]
### Question 4: \(x^2 = 30\)
To solve for \(x\):
1. Take the square root of both sides:
\[
x = \sqrt{30}
\]
In this case, the presented options seem not to fit a standard method, but we typically would address manipulating the equation first. The correct approach would be:
**None of the given options are suitable, but the expected action would be to take the square root.**
### Question 5: \(x^{12} = 3\)
To find \(x\):
1. Take the 12th root (or raise both sides to the power of \(\frac{1}{12}\)):
\[
x = 3^{\frac{1}{12}}
\]
This does not directly give a whole number, but again: the given responses are inappropriate.
Going through the options we've derived:
1. **Responses** for Question 1: **9**
2. **Responses** for Question 2: **53**
3. **Responses** for Question 3: **12**
4. **Responses** for Question 4: Taking the square root (none of the options fit).
5. **Responses** for Question 5: Value not listed.
Please confirm if you would like further interpretation or clarification on these equations!
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