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xeze [42]
3 years ago
10

Wayne is solving a system of linear equations.

Mathematics
1 answer:
solong [7]3 years ago
4 0

Answer:

(-2,7)

Step-by-step explanation:

I used the desmos website and the lines met at -2,7

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You need a 45% alcohol solution. On hand, you have a 175 mL of a 25% alcohol mixture. You also have 70% alcohol mixture. How muc
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175 mL at 25% concentration of alcohol contains 0.25 (175 mL) = 43.75 mL of alcohol. If <em>v</em> is the amount of the 70% solution that you use, then that amount contains 0.7<em>v</em> mL of alcohol.

Mixing these two yields a total volume of 175 mL + <em>v</em>, and it contains 43.75 mL + 0.7<em>v</em> alcohol. You want to end up with a concentration of 45%, which means the ratio of the amount of alcohol to the total volume needs to be 0.45:

(43.75 mL + 0.7<em>v</em>) / (175 mL + <em>v</em>) = 0.45

Solve for <em>v</em> :

43.75 mL + 0.7<em>v</em> = 0.45 (175 mL + <em>v</em>)

43.75 mL + 0.7<em>v</em> = 78.75 mL + 0.45<em>v</em>

0.25<em>v</em> = 35 mL

<em>v</em> = 140 mL

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