We are given that $a = 3$ and $c = 5$. We are asked to evaluate the following expressions: 9. $\frac{12}{a} + c$ 10. $2a - c$ 11. $a+4-c$ 12. $ac-3$ 13. $\frac{10a}{c}$ 14. $5c + a$ 15. $c - a - 2$ 16. $\frac{36}{a} - c$

1. Problem Description

We are given that $a = 3$ and $c = 5$. We are asked to evaluate the following expressions:

9. $\frac{12}{a} + c$

1

0. $2a - c$

1

1. $a+4-c$

1

2. $ac-3$

1

3. $\frac{10a}{c}$

1

4. $5c + a$

1

5. $c - a - 2$

1

6. $\frac{36}{a} - c$

2. Solution Steps

9. $\frac{12}{a} + c = \frac{12}{3} + 5 = 4 + 5 = 9$

1

0. $2a - c = 2(3) - 5 = 6 - 5 = 1$

1

1. $a+4-c = 3 + 4 - 5 = 7 - 5 = 2$

1

2. $ac - 3 = (3)(5) - 3 = 15 - 3 = 12$

1

3. $\frac{10a}{c} = \frac{10(3)}{5} = \frac{30}{5} = 6$

1

4. $5c + a = 5(5) + 3 = 25 + 3 = 28$

1

5. $c - a - 2 = 5 - 3 - 2 = 2 - 2 = 0$

1

6. $\frac{36}{a} - c = \frac{36}{3} - 5 = 12 - 5 = 7$

3. Final Answer

9. 9

1

0. 1

1

1. 2

1

2. 12

1

3. 6

1

4. 28

1

5. 0

1

6. 7