How many ounces of a 19% alcohol solution and a 37% alcohol solution must be combined to obtain 90 ounces of a 24% solution
1 answer:
Answer:
19% alcohol solution = 65 ounces
37% alcohol solution = 25 ounces
Step-by-step explanation:
Let
19% alcohol solution = x
37% alcohol solution = y
x + y = 90 (1)
0.19x + 0.37y = 90*0.24
0.19x + 0.37y = 21.60 (2)
from (1)
x = 90 - y
Substitute into (2)
0.19x + 0.37y = 21.60
0.19(90-y) + 0.37y = 21.60
17.1 - 0.19y + 0.37y = 21.60
- 0.19y + 0.37y = 21.60 - 17.1
0.18y = 4.5
y = 4.5/0.18
y = 25 ounces
x + y = 90 (1)
x + 25 = 90
x = 90 - 25
x = 65 ounces
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Answer:4x2−6x−4
Step-by-step explanation:
(4x+2)(x−2)
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