evaluate each expression if x = -8 and y = -12.
25. x ÷ 2
26. x ÷ (-4)
27. 36 ÷ y
28. 0 ÷ y
29. -60 ÷ y
30. 56 ÷ x
31. 8 ÷ x
32. -108 ÷ y
33. $\frac{x}{-2}$
34. $\frac{y}{3}$
35. $\frac{0}{x}$
36. $\frac{-112}{x}$
37. $\frac{y}{-6}$
38. $\frac{x}{4}$
39. $\frac{-144}{y}$
40. $\frac{-136}{x}$

find the average (mean) of each group of numbers.
41. 3, 12, 6
42. -8, -1, -3
43. -8, 15, 5, 8
44. -3, -10, 2, -4, 0
45. -10, -7, 7, 10
46. 12, 24, 9, 15, 18, 20, 16, 14
47. -4, -11, -6, 1, 8, -12

Question

evaluate each expression if x = -8 and y = -12.
25. x ÷ 2
26. x ÷ (-4)
27. 36 ÷ y
28. 0 ÷ y
29. -60 ÷ y
30. 56 ÷ x
31. 8 ÷ x
32. -108 ÷ y
33. $\frac{x}{-2}$
34. $\frac{y}{3}$
35. $\frac{0}{x}$
36. $\frac{-112}{x}$
37. $\frac{y}{-6}$
38. $\frac{x}{4}$
39. $\frac{-144}{y}$
40. $\frac{-136}{x}$

find the average (mean) of each group of numbers.
41. 3, 12, 6
42. -8, -1, -3
43. -8, 15, 5, 8
44. -3, -10, 2, -4, 0
45. -10, -7, 7, 10
46. 12, 24, 9, 15, 18, 20, 16, 14
47. -4, -11, -6, 1, 8, -12

Accepted Answer

### Problem 25: $ x \div 2 $
# Explanation:
## Step1: Substitute $ x = -8 $
$ -8 \div 2 $
## Step2: Perform division
$ -8 \div 2 = -4 $
# Answer: $-4$

### Problem 26: $ x \div (-4) $
# Explanation:
## Step1: Substitute $ x = -8 $
$ -8 \div (-4) $
## Step2: Perform division (negative ÷ negative = positive)
$ -8 \div (-4) = 2 $
# Answer: $2$

### Problem 27: $ 36 \div y $
# Explanation:
## Step1: Substitute $ y = -12 $
$ 36 \div (-12) $
## Step2: Perform division (positive ÷ negative = negative)
$ 36 \div (-12) = -3 $
# Answer: $-3$

### Problem 28: $ 0 \div y $
# Explanation:
## Step1: Substitute $ y = -12 $
$ 0 \div (-12) $
## Step2: Recall that 0 divided by any non - zero number is 0
$ 0 \div (-12)=0 $
# Answer: $0$

### Problem 29: $ -60 \div y $
# Explanation:
## Step1: Substitute $ y = -12 $
$ -60 \div (-12) $
## Step2: Perform division (negative ÷ negative = positive)
$ -60 \div (-12) = 5 $
# Answer: $5$

### Problem 30: $ 56 \div x $
# Explanation:
## Step1: Substitute $ x = -8 $
$ 56 \div (-8) $
## Step2: Perform division (positive ÷ negative = negative)
$ 56 \div (-8)=-7 $
# Answer: $-7$

### Problem 31: $ 8 \div x $
# Explanation:
## Step1: Substitute $ x = -8 $
$ 8 \div (-8) $
## Step2: Perform division (positive ÷ negative = negative)
$ 8\div(-8)= - 1$
# Answer: $-1$

### Problem 32: $ -108 \div y $
# Explanation:
## Step1: Substitute $ y = -12 $
$ -108 \div (-12) $
## Step2: Perform division (negative ÷ negative = positive)
$ -108\div(-12) = 9$
# Answer: $9$

### Problem 33: $ \frac{x}{-2} $
# Explanation:
## Step1: Substitute $ x = -8 $
$ \frac{-8}{-2} $
## Step2: Perform division (negative ÷ negative = positive)
$ \frac{-8}{-2}=4 $
# Answer: $4$

### Problem 34: $ \frac{y}{3} $
# Explanation:
## Step1: Substitute $ y = -12 $
$ \frac{-12}{3} $
## Step2: Perform division (negative ÷ positive = negative)
$ \frac{-12}{3}=-4 $
# Answer: $-4$

### Problem 35: $ \frac{0}{x} $
# Explanation:
## Step1: Substitute $ x = -8 $
$ \frac{0}{-8} $
## Step2: Recall that 0 divided by any non - zero number is 0
$ \frac{0}{-8}=0 $
# Answer: $0$

### Problem 36: $ \frac{-112}{x} $
# Explanation:
## Step1: Substitute $ x = -8 $
$ \frac{-112}{-8} $
## Step2: Perform division (negative ÷ negative = positive)
$ \frac{-112}{-8}=14 $
# Answer: $14$

### Problem 37: $ \frac{y}{-6} $
# Explanation:
## Step1: Substitute $ y = -12 $
$ \frac{-12}{-6} $
## Step2: Perform division (negative ÷ negative = positive)
$ \frac{-12}{-6}=2 $
# Answer: $2$

### Problem 38: $ \frac{x}{4} $
# Explanation:
## Step1: Substitute $ x = -8 $
$ \frac{-8}{4} $
## Step2: Perform division (negative ÷ positive = negative)
$ \frac{-8}{4}=-2 $
# Answer: $-2$

### Problem 39: $ \frac{-144}{y} $
# Explanation:
## Step1: Substitute $ y = -12 $
$ \frac{-144}{-12} $
## Step2: Perform division (negative ÷ negative = positive)
$ \frac{-144}{-12}=12 $
# Answer: $12$

### Problem 40: $ \frac{-136}{x} $
# Explanation:
## Step1: Substitute $ x = -8 $
$ \frac{-136}{-8} $
## Step2: Perform division (negative ÷ negative = positive)
$ \frac{-136}{-8}=17 $
# Answer: $17$

### Problem 41: Find the average of 3, 12, 6
# Explanation:
## Step1: Recall the formula for the mean: $ \text{Mean}=\frac{\text{Sum of numbers}}{\text{Number of numbers}} $
Sum of numbers: $ 3 + 12+6=21 $
Number of numbers: $ 3 $
## Step2: Calculate the mean
$ \text{Mean}=\frac{21}{3}=7 $
# Answer: $7$

### Problem 42: Find the average of - 8, - 1, - 3
# Explanation:
## Step1: Use the mean formula. Sum of numbers: $ -8+( - 1)+( - 3)=-12 $
Number of numbers: $ 3 $
## Step2: Calculate the mean
$ \text{Mean}=\frac{-12}{3}=-4 $
# Answer: $-4$

### Problem 43: Find the average of - 8, 15, 5, 8
# Explanation:
## Step1: Use the mean formula. Sum of numbers: $ -8 + 15+5 + 8=20 $
Number of numbers: $ 4 $
## Step2: Calculate the mean
$ \text{Mean}=\frac{20}{4}=5 $
# Answer: $5$

### Problem 44: Find the average of - 3, - 10, 2, - 4, 0
# Explanation:
## Step1: Use the mean formula. Sum of numbers: $ -3+( - 10)+2+( - 4)+0=-15 $
Number of numbers: $ 5 $
## Step2: Calculate the mean
$ \text{Mean}=\frac{-15}{5}=-3 $
# Answer: $-3$

### Problem 45: Find the average of - 10, - 7, 7, 10
# Explanation:
## Step1: Use the mean formula. Sum of numbers: $ -10+( - 7)+7 + 10=0 $
Number of numbers: $ 4 $
## Step2: Calculate the mean
$ \text{Mean}=\frac{0}{4}=0 $
# Answer: $0$

### Problem 46: Find the average of 12, 24, 9, 15, 18, 20, 16, 14
# Explanation:
## Step1: Use the mean formula. Sum of numbers: $ 12 + 24+9+15+18+20+16+14 = 128$
Number of numbers: $ 8 $
## Step2: Calculate the mean
$ \text{Mean}=\frac{128}{8}=16 $
# Answer: $16$

### Problem 47: Find the average of - 4, - 11, - 6, 1, 8, - 12
# Explanation:
## Step1: Use the mean formula. Sum of numbers: $ -4+( - 11)+( - 6)+1 + 8+( - 12)=-24 $
Number of numbers: $ 6 $
## Step2: Calculate the mean
$ \text{Mean}=\frac{-24}{6}=-4 $
# Answer: $-4$

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QUESTION IMAGE

Question

Explanation:

Problem 25: \( x \div 2 \)

Step1: Substitute \( x = -8 \)

Step2: Perform division

Step1: Substitute \( x = -8 \)

Step2: Perform division (negative ÷ negative = positive)

Step1: Substitute \( y = -12 \)

Step2: Perform division (positive ÷ negative = negative)

Answer:

Problem 26: \( x \div (-4) \)