Let’s call the number of gallons of 30% solution “x”. If we mix together 40 gallons and x gallons of solution, we’re going to come out with a total of 40 + x gallons of that 20% solution. Mathematically, this is
40(12%) + x(30%) = (40 + x)(20%)
With the percents as decimals:
40(0.12) + x(0.3) = (40 + x)(0.2)
Simplifying, we have:
4.8 + 0.3x = 8 + 0.2x
Collecting the x terms on one side and the constants on the other:
0.1x = 3.2
And multiplying both sides by 10 to find x:
x = 32
So, you’ll need 32 gallons of 30% solution to yield 40 + 32 = 72 gallons of 20% solution.
-2x + 6y = 6
6y - 6 = 2x
6(y-1) = 2x
(1/2) * 6(y-1) = 2x * (1/2)
x = 3(y-1)
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If, x = 3(y-1),
-7 * 3(y-1) + 8y = -5
-21 * (y-1) + 8y = -5
-21y + 21 + 8y = -5
21 + 5 = 21y - 8y
26 = 13y
y = 26/13
Therefore: y=2.
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If y=2,
x = 3(2-1) = 3
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Answers:
x=3 and y=2.
Answer:
Acute angle, 85 degrees. That's my guess I hope it helps.
Baily had 36 and Elena had 40
Answer:
18
Step-by-step explanation:
