Let's solve each equation step-by-step.
Question 1: \(42 + X = 51\)
To find \(X\):
- Subtract 42 from both sides: \[ X = 51 - 42 \]
- Calculate: \[ X = 9 \]
Question 2: \(X - 13 = 40\)
To find \(X\):
- Add 13 to both sides: \[ X = 40 + 13 \]
- Calculate: \[ X = 53 \]
Question 3: \(5x = 60\)
To find \(x\):
- Divide both sides by 5: \[ x = \frac{60}{5} \]
- Calculate: \[ x = 12 \]
Question 4: \(x^2 = 30\)
To solve for \(x\):
- 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 \(x\):
- 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:
- Responses for Question 1: 9
- Responses for Question 2: 53
- Responses for Question 3: 12
- Responses for Question 4: Taking the square root (none of the options fit).
- Responses for Question 5: Value not listed.
Please confirm if you would like further interpretation or clarification on these equations!