in 9–14, evaluate each expression for the value given.
9. $z \div 4$; $z = 824$
10. $6t \div 9 - 22$; $t = 60$
11. $r \div 2.4$; $r = 16.8$
12. $9.85 \times s$; $s = 4$
13. $x \div 12$; $x = \frac{2}{3}$
14. $\frac{3}{4} + 4y \div 3$; $y = 1\frac{1}{2}$

Question

Accepted Answer

### Problem 9:
# Explanation:
## Step1: Substitute $ z = 824 $ into the expression $ z\div4 $
We get $ 824\div4 $
## Step2: Perform the division
$ 824\div4 = 206 $
# Answer:
$ 206 $

### Problem 10:
# Explanation:
## Step1: Substitute $ t = 60 $ into the expression $ 6t\div9 - 22 $
First, calculate $ 6\times60 = 360 $, so the expression becomes $ 360\div9 - 22 $
## Step2: Perform the division
$ 360\div9 = 40 $, now the expression is $ 40 - 22 $
## Step3: Perform the subtraction
$ 40 - 22 = 18 $
# Answer:
$ 18 $

### Problem 11:
# Explanation:
## Step1: Substitute $ r = 16.8 $ into the expression $ r\div2.4 $
We get $ 16.8\div2.4 $
## Step2: Perform the division
$ 16.8\div2.4 = 7 $
# Answer:
$ 7 $

### Problem 12:
# Explanation:
## Step1: Substitute $ s = 4 $ into the expression $ 9.85\times s $
We get $ 9.85\times4 $
## Step2: Perform the multiplication
$ 9.85\times4 = 39.4 $
# Answer:
$ 39.4 $

### Problem 13:
# Explanation:
## Step1: Substitute $ x=\frac{2}{3} $ into the expression $ x\div12 $
We get $ \frac{2}{3}\div12 $
## Step2: Recall that dividing by a number is the same as multiplying by its reciprocal, so $ \frac{2}{3}\times\frac{1}{12} $
## Step3: Multiply the fractions
$ \frac{2\times1}{3\times12}=\frac{2}{36}=\frac{1}{18} $
# Answer:
$ \frac{1}{18} $

### Problem 14:
# Explanation:
## Step1: First, convert the mixed number $ y = 1\frac{1}{2} $ to an improper fraction. $ 1\frac{1}{2}=\frac{3}{2} $
## Step2: Substitute $ y=\frac{3}{2} $ into the expression $ \frac{3}{4}+4y\div3 $
First, calculate $ 4\times\frac{3}{2}=6 $, so the expression becomes $ \frac{3}{4}+6\div3 $
## Step3: Perform the division $ 6\div3 = 2 $
## Step4: Now add $ \frac{3}{4}+2 $
$ 2+\frac{3}{4}=2\frac{3}{4} $ (or $ \frac{11}{4} $)
# Answer:
$ 2\frac{3}{4} $ (or $ \frac{11}{4} $)

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Problem 9:

Step1: Substitute \( z = 824 \) into the expression \( z\div4 \)

Step2: Perform the division

Step1: Substitute \( t = 60 \) into the expression \( 6t\div9 - 22 \)

Step2: Perform the division

Step3: Perform the subtraction

Step1: Substitute \( r = 16.8 \) into the expression \( r\div2.4 \)

Step2: Perform the division

Answer:

Problem 10: