We are asked to evaluate four expressions, given that $y = 8$ and $d = 4$. The expressions are: 17. $\frac{6y}{d}$ 18. $\frac{20}{d} + y$ 19. $\frac{yd}{2}$ 20. $\frac{y}{d} + 6$

ArithmeticArithmetic OperationsSubstitutionOrder of Operations
2025/4/4

1. Problem Description

We are asked to evaluate four expressions, given that y=8y = 8 and d=4d = 4. The expressions are:
1

7. $\frac{6y}{d}$

1

8. $\frac{20}{d} + y$

1

9. $\frac{yd}{2}$

2

0. $\frac{y}{d} + 6$

2. Solution Steps

1

7. $\frac{6y}{d}$

Substitute y=8y = 8 and d=4d = 4:
6(8)4=484=12\frac{6(8)}{4} = \frac{48}{4} = 12
1

8. $\frac{20}{d} + y$

Substitute d=4d = 4 and y=8y = 8:
204+8=5+8=13\frac{20}{4} + 8 = 5 + 8 = 13
1

9. $\frac{yd}{2}$

Substitute y=8y = 8 and d=4d = 4:
(8)(4)2=322=16\frac{(8)(4)}{2} = \frac{32}{2} = 16
2

0. $\frac{y}{d} + 6$

Substitute y=8y = 8 and d=4d = 4:
84+6=2+6=8\frac{8}{4} + 6 = 2 + 6 = 8

3. Final Answer

1

7. 12

1

8. 13

1

9. 16

2

0. 8

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