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Stella [2.4K]
3 years ago
13

The function c(x) = 3x − 4 determines how many cupcakes need to be purchased for a birthday party, where x is the number of kids

at the party. The party planner uses d(c(x)) to find the amount of money to bring for the cupcake purchase. The function d(x) = 2x + 5. Solve for how much money to bring when there are 7 kids at the party.
Mathematics
2 answers:
dezoksy [38]3 years ago
6 0
The answer of d(c(x))=39. hope it will help you
Karolina [17]3 years ago
5 0

Answer: $39

Step-by-step explanation:

Given: The function c(x)=3x-4 determines how many cupcakes need to be purchased for a birthday party, where x is the number of kids at the party. The party planner uses d(c(x)) to find the amount of money to bring for the cupcake purchase. The function d(x) = 2x + 5

Now, d(c(x))=2(3x-4)+5=6x-8+5=6x-3

To find the amount of money to bring when there are 7 kids at the party, put x in d(c(x)), we get

d(c(7))=6(7)-3=42-3=39

Hence, the amount of money to bring when there are 7 kids at the party = $39

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olga nikolaevna [1]

Answer:

Fraction of the original board left = \frac{2}{15}

Step-by-step explanation:

Let the length of the board is = l feet

Marty saws off \frac{1}{5} of a wooden board.

Length of the board left = l - (\frac{1}{5})l

                                        = (\frac{4}{5})l feet

He saws off \frac{3}{4}th of the remaining board,

Board left = (\frac{4}{5})l-[(\frac{4}{5})l\times (\frac{3}{4})]

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He finally saws off \frac{1}{3}rd of the remaining board.

Board left = \frac{1}{5}l-[\frac{1}{5}\times \frac{1}{3}]l

                = (\frac{1}{5}-\frac{1}{15})l

                = \frac{2}{15}l feet

Fraction of the original board left = \frac{\frac{2}{15}l}{l}

                                                       = \frac{2}{15}

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