Problem 33
Use the distributive property on the side containing parentheses of each expression and compare it to the other side.
a) 3(5a + 3) = 15a + 9 not equal to 15a + 6
b) 2(7b - 2) = 14b - 4 not equal to 14b + 4
c) 5(2c + 3) = 10c + 15 not equal to 7c + 8
d) 3(d + 5/3) = 3d + 5 which is equal to 3d + 5
Answer for problem 33: d)
Problem 34
Use a proportion. Let the unknown number of bowls be x. The proportion is made up of two ratios that are set equal to each other. Set each ratio as a ratio of the number of avocados per bowls of guacamole. 3 avocados per 1 bowl (3/1) equals 17 avocados per x bowls (17/x).
Answer: 17/3 full bowls which is the same as 5 2/3 full bowls.
The LCM of the denominators is 120. In other words, the denominators can multiply to 120.
3 * 40 = 120
40 * 2 = 80
Tigers: P = 80/120
24 * 5 = 120
24 * 4 = 96
Redbirds: P = 96/120
8 * 15 = 120
3 * 15 = 45
Bulldogs P = 45/120
60 * 2 = 120
60 * 1 = 60
Titans P = 60/120
Answer
Tigers: P = 80/120
Redbirds: P = 96/120
Bulldogs: P = 45/120
Titans: P = 60/120
Answer:
statement: 2. both pairs of parallel lines are congruent
reason: 2. def. of a parallelogram
and that should be all you need
Answer: A
The lines have the same slope but different y-intercepts.
Answer:
B) $ 77,500
Step-by-step explanation:
The company's pre-tax cash flow = total income - operating expenses - cost of servicing debt = 335 000 + 2500 - 144 000 - 116 000 = $ 77,500
