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tiny-mole [99]
3 years ago
13

The Big Paint “Mix-Up”

Mathematics
1 answer:
sladkih [1.3K]3 years ago
3 0

Answer:

1. 8 quarts of blue

2. 12 quarts of yellow

3. 10 pints of red

4. 24 pints of yellow

5. 16 quarts of light blue

6. 9 quarts of red

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There are two mixtures. One mixture contains 5% alchol and the other mixture contains 12% alchol. How much of each should be mix
hichkok12 [17]

Answer:

to make 1000 gallons with 10% alcohol, we need 714.3 gallons of mixture that contains 5% alcohol and 285,7 gallons of mixture that contains 12% alcohol.

Step-by-step explanation:

According to the statement, there are two mixtures. One mixture contains 5% alcohol and the other contains 12% alcohol.

We want to make 1000 gallons with 10% alcohol, so we have the following system of equations:

A + B = 1000 gallons. [1]

0.05A + 0.12B = 0.1(1000) ⇒ 0.05A + 0.12B = 100 [2]

(Where 'A' represents the mixture that contains 5% alcohol and 'B' the one that contains 12% alcohol).

Solving the system of equations:

A + B = 1000 ⇒ A = 1000 - B [3]

[3] → [2]

0.05(1000 - B) + 0.12B = 100 ⇒ 50 - 0.05B + 0.12B = 100

⇒ 0.07B = 50 ⇒ B = 714.28 ≈ B=714.3 [4]

[4] → [1]

A + B = 1000 ⇒ A + 714.3 = 1000 ⇒ A = 285,7

Therefore, to make 1000 gallons with 10% alcohol, we need 714.3 gallons of mixture 'A' and 285,7 gallons of mixture 'B'

4 0
3 years ago
Mike can build a go cart in 30 days, Jed can build one in 20 days and Erick in 60 days. If all of them share the work, how quick
Gwar [14]

Answer: 10 days

<u>Step-by-step explanation:</u>

Mike: \frac{x}{30}

Jed: \frac{x}{20}

Erick: \frac{x}{60}

Together: \frac{x}{30} + \frac{x}{20} + \frac{x}{60} = 1

60(\frac{x}{30} + \frac{x}{20} + \frac{x}{60} = 1)

2x + 3x + x = 60

             6x = 60

               x = 10


4 0
3 years ago
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Simplify 4x-2y(5xyz)
Anna007 [38]
4x-2y(5xyz)



=10xy2z+4x
4 0
3 years ago
Sheep:cows:pigs=12:3:2. There are 150 more sheep than pigs. How many cows has she got?
elena55 [62]
Information Given: She has 12 groups of sheep, 3 groups of cows and 2 groups of pigs. Question asks: There are 150 more sheep than pigs. How many cows has she got?
They figured 150 more sheep than pigs from 2 pigs X 75 sheep=150 lambs of 12 groups of sheep.
150 lambs/3 groups of cows=50 cows.
She has 50 cows from 3 groups of cows.

3 0
3 years ago
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What is 20/36 reduced
likoan [24]
20/36 reduced is 5/9. hope this helped!  :)
7 0
3 years ago
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