Question
Evaluate the expression 8 + 3a/2b
3
𝑎
2
𝑏
when a = 4 and b = 2
(1 point)
Responses
10
10
11
11
13
13
15
3
𝑎
2
𝑏
when a = 4 and b = 2
(1 point)
Responses
10
10
11
11
13
13
15
Answers
GPT-4o mini
To evaluate the expression \( 8 + \frac{3a}{2b} \) when \( a = 4 \) and \( b = 2 \), follow these steps:
1. Substitute the values of \( a \) and \( b \) into the expression:
\[
= 8 + \frac{3(4)}{2(2)}
\]
2. Calculate \( 3a \):
\[
3(4) = 12
\]
3. Calculate \( 2b \):
\[
2(2) = 4
\]
4. Substitute these values back into the fraction:
\[
= 8 + \frac{12}{4}
\]
5. Simplify \( \frac{12}{4} \):
\[
\frac{12}{4} = 3
\]
6. Now substitute back:
\[
= 8 + 3
\]
7. Finally, add:
\[
= 11
\]
Thus, the value of the expression when \( a = 4 \) and \( b = 2 \) is **11**.
1. Substitute the values of \( a \) and \( b \) into the expression:
\[
= 8 + \frac{3(4)}{2(2)}
\]
2. Calculate \( 3a \):
\[
3(4) = 12
\]
3. Calculate \( 2b \):
\[
2(2) = 4
\]
4. Substitute these values back into the fraction:
\[
= 8 + \frac{12}{4}
\]
5. Simplify \( \frac{12}{4} \):
\[
\frac{12}{4} = 3
\]
6. Now substitute back:
\[
= 8 + 3
\]
7. Finally, add:
\[
= 11
\]
Thus, the value of the expression when \( a = 4 \) and \( b = 2 \) is **11**.