B. This is a way to express 37 using five $$ 3 s $$ and the addition symbol: $$ 33+3+\frac{3}{3} $$.

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UpStudy AI · Accepted Answer

To express the number 37 using five $$ 3 $$s and the addition symbol, we can break down the expression you provided and verify its correctness.

The expression given is:

$$
33 + 3 + \frac{3}{3}
$$

Let's analyze this step by step:

1. **Calculate $$ \frac{3}{3} $$**:
   $$
   \frac{3}{3} = 1
   $$

2. **Add the components together**:
   - Start with $$ 33 + 3 $$:
   $$
   33 + 3 = 36
   $$
   - Now add $$ 1 $$ to $$ 36 $$:
   $$
   36 + 1 = 37
   $$

Thus, the expression $$ 33 + 3 + \frac{3}{3} $$ indeed equals $$ 37 $$.

Now, let's confirm that we used exactly five $$ 3 $$s in the expression:
- The number $$ 33 $$ uses two $$ 3 $$s.
- The number $$ 3 $$ uses one $$ 3 $$.
- The fraction $$ \frac{3}{3} $$ uses two $$ 3 $$s.

Adding these together:
$$
2 + 1 + 2 = 5
$$

Therefore, we have successfully expressed $$ 37 $$ using five $$ 3 $$s and the addition symbol. The final expression is:

$$
33 + 3 + \frac{3}{3} = 37
$$
$$ 33 + 3 + \frac{3}{3} = 37 $$

B. This is a way to express 37 using five and the addition symbol: .

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