e) $$ 6+\frac{1}{2} $$ of $$ 30 \div(9-6) $$ f) $$ 3^{2}+5 imes 3-6 \div 3 $$

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e) $$ 6+\frac{1}{2} $$ of $$ 30 \div(9-6) $$ f) $$ 3^{2}+5 	imes 3-6 \div 3 $$

UpStudy AI · Accepted Answer

Let's solve each expression step by step.

### e) $$ 6 + \frac{1}{2} $$ of $$ 30 \div (9 - 6) $$

1. **Parentheses first:**
   $$
   9 - 6 = 3
   $$
   
2. **Division next:**
   $$
   30 \div 3 = 10
   $$
   
3. **Multiply by $$\frac{1}{2}$$:**
   $$
   \frac{1}{2} \times 10 = 5
   $$
   
4. **Finally, add 6:**
   $$
   6 + 5 = 11
   $$
   
**Answer for e):** $$ 11 $$

---

### f) $$ 3^{2} + 5 \times 3 - 6 \div 3 $$

1. **Exponents first:**
   $$
   3^{2} = 9
   $$
   
2. **Multiplication and Division from left to right:**
   $$
   5 \times 3 = 15
   $$
   $$
   6 \div 3 = 2
   $$
   
3. **Combine all terms:**
   $$
   9 + 15 - 2 = 22
   $$
   
**Answer for f):** $$ 22 $$
**e) 11** **f) 22**

e) \( 6+\frac{1}{2} \) of \( 30 \div(9-6) \) f) \( 3^{2}+5 \times 3-6 \div 3 \)

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