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

Question

(1 point)
Responses

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

b=12A−a
b is equal to 1 half cap A minus A

b=2A−a
b is equal to 2 cap A minus A

b=2A+a

Answer 1

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

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

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

3. Now, solve for \( b \) by isolating it: \[ b = \frac{A}{12} - a \]

None of the given responses match this prediction, but based on the form, we can see it could be related to a form of \( b \) in terms of \( A \) and \( a \). Therefore, it seems none of the provided answers are correct.

To ensure accuracy, you can rewrite it to confirm: \[ b = \frac{A}{12} - a \]

If we had \( \frac{A}{12} \) as \( caps A \), then \( b \) could be seen relative to \( a \). However, based on the given options, there isn't a direct match.

In conclusion, none of the provided responses seem to correctly present \( b \) as derived from \( A = 12(a + b) \).