7. Solve for b in the following equation: A=12(a+b)

Question

(1 point)
Responses

b=2A−a
b is equal to 2 cap A minus A

b=2A+a
b is equal to 2 cap A plus A

b=12A+a
b is equal to 1 half cap A plus A

b=12A−a

Answer 1

To solve for \( b \) in the equation \( A = 12(a + b) \), we can follow these steps:

1. Start with the equation: \[ A = 12(a + b) \]

2. Divide both sides by 12: \[ \frac{A}{12} = a + b \]

3. Subtract \( a \) from both sides to isolate \( b \): \[ b = \frac{A}{12} - a \]

Now, let's check the choices you provided:

1. \( b = 2A - a \)
2. \( b = 2A + a \)
3. \( b = 12A + a \)
4. \( b = 12A - a \)

None of these match \( b = \frac{A}{12} - a \). It appears there may be an error with the provided options or the equation itself.

To summarize the solution: \[ b = \frac{A}{12} - a \]

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