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antoniya [11.8K]
4 years ago
6

Help please I don’t understand

Mathematics
1 answer:
ollegr [7]4 years ago
8 0

Answer:

y = -1/10

Step-by-step explanation:

-2/5 + y = -1/2         First, make a common denominator for the fractions

-4/10 + y = -5/10  

+4/10         +4/10     Add 4/10 to both sides

y = -1/10

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<em><u>Solution:</u></em>

Let "x" is the gallons of 50 % alcohol solution

Then, 10 gallons is 35 % solution

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Then, according to question,

"x" gallons of 50 % solution is mixed with 10 gallons of 35 % solution to get 10 + x gallons of 40 % solution

Therefore,

50 \% \times x + 35 \% \times 10 = 40 \% \times (10+x)\\\\\frac{50}{100} \times x + \frac{35}{100} \times 10 = \frac{40}{100} \times 10+x\\\\0.5x + 3.5 = 0.4(10+x)\\\\0.5x + 3.5=4+0.4x\\\\0.5x-0.4x = 4-3.5\\\\0.1x = 0.5\\\\Divide\ both\ sides\ by\ 0.1\\\\x = 5

Thus 5 gallons of 50 % alcohol solution is used

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3 years ago
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