Answer:

The expression (3n-2)(4n+1) can be factored with the Distributive Property. It cannot be factored with a Least Common Multiple (LCM), for instance, because the terms within each set of parentheses are completely simplified.
Step-by-step explanation:
Part I
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Good luck to you!
X - (X)(.20) = $120
X (1 - .20) = $120
X (.80) = $120
X = $150
Original price of the boots was $150.
Answer:
son = 6 mother = 48
Step-by-step explanation:
Mother = m
son = s
m = 8s
m+6 = 9/2 * (s+6)
so
2(8s + 6) = 9(s +6)
16s + 12 = 9s + 54
16s - 9s = 54 - 12
7s = 42
s = 42/7 = 6 years old
so the mother is 8s = 8*6= 48 years old
Answer:
B. 2 blocks per cubic inch
Step-by-step explanation:
The volume in cubic inches is the product of the dimensions in inches. The ratio of blocks per cubic inch is found by dividing the number blocks by the number of cubic inches. (Effectively, "per" means "divided by".)
(240 blocks)/((6 in)(4 in)(5 in)) = 240/120 blocks/in³ = 2 blocks/in³