Which expression is equivalent to the expression below?

3, t, plus, 5, left parenthesis, 8, v, plus, 3, t, right parenthesis
3t+5(8v+3t)
Answer
Multiple Choice Answers
37, t, plus, 3, v37t+3v
18, t, plus, 40, v18t+40v
10, t, plus, 8, v10t+8v
3, left parenthesis, t, plus, 40, v, plus, 15, t, right parenthesis3(t+40v+15t)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To find an equivalent expression for \( 3t + 5(8v + 3t) \), we'll simplify the expression step by step.

1. **Distribute the 5**:
\[
3t + 5(8v) + 5(3t) = 3t + 40v + 15t
\]

2. **Combine like terms**:
\[
3t + 15t + 40v = (3t + 15t) + 40v = 18t + 40v
\]

Now, the simplified expression is:
\[
18t + 40v
\]

Looking at the multiple choice answers, this corresponds to:
**18, t, plus, 40, v (18t + 40v)**.

So, the correct answer is:
**18t + 40v**.