When is it necessary to apply the Distributive Property?

2 answers:

8 0

It is necessary when you are getting into multiplying from the outside of parenthesis and multiplying variables inside of parenthesis.
ex: 5(3 + 3x)
5 * 3 = 15
5 * 3x = 15x
so final set up would be 15 + 15x

Dominik [7]3 years ago

8 0

The distributive property is necessary when you are asked to simplify and distributive property is possible.

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2. A group of activists wants to raise money for a good cause, so they decide to sponsor a bicycle race. It receives $60 per cyc

Scorpion4ik [409]

Answer

Step-by-step explanation:

The number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists
Let x represent the number of cyclists.
Since, the activists receive $60 per cyclist entry and $15,000 in donations, hence:
Revenue = 60x + 15000
Also, the cost of the race is $18 per entry, hence:
Cost = 18x
They need to raise at least $57,000, hence:
Profit ≥ 57000
Revenue - Cost ≥ 57000
(60x + 15000) - 18x ≥ 57000
42x ≥ 42000
x ≥ 1000
Therefore the number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclists