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Ber [7]
3 years ago
15

A house painter has 1 gallon of paint that is 35% yellow and another gallon that is 60% yellow. The painter needs a gallon of pa

int that is 45% yellow. How much of each color should the painter use?
Mathematics
1 answer:
Anna11 [10]3 years ago
7 0

Let a be the volume of the 35% yellow paint the painter will use, and b the volume of the 60% yellow paint.

The painter wants to end up with 1 gal of paint, so

a+b=1

Each gallon of 35% yellow paint a contributes 0.35 gal of yellow paint, while each gallon of 60% yellow paint b contributes 0.60 gal of yellow paint. The painter wants to end up with a 45% mixture, so that

0.35a+0.60b=0.45(a+b)=0.45

Solve the system and you get

a=0.6,b=0.4

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Answer:

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Step-by-step explanation:

Step 1: Simplify both sides of the equation.

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3x+−18+−4x+−6=14

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Your personal library contains books written by 165 authors. 60% of the authors are men. 40% of the authors write only nonfictio
Scorpion4ik [409]

Answer:

The probability that a book picked at random is either a work written by an author who writes only nonfiction or a work written by a man is 75.8%.

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P = P(men) + P(non-fiction) - P(men non-fiction); where P is the probability. It means the probability that the random book was written by a man plus the probability that the random book was non-fiction minus the probability that the random book was written by a man who writes non-fiction. The probability that the random book was written by a man who writes non-fiction has to be subtracted, if not you will be duplicating it. 

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P(men) = 60% = 99/165

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P = P(men) + P(non-fiction) – P(men non-fiction)

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