Let x represent the quantity (in mL) of pure alcohol needed for the mix. Then the amount of 75% needed is (250-x). The amount of alcohol in the mixture is ...

1.00x +0.75(250 -x) = 0.90(250)

0.25x +187.5 = 225 . . simplify

0.25x = 37.5 . . . . . . . . subtract 187.5

x = 150 . . . . . . . . . . . . . divide by 0.25

(250 -x) = 100 . . . . mL of 75% solution

You need 100 mL of the 75% solution and 150 mL of pure alcohol to obtain the desired mixture.

8 0

3 years ago

Please help me!

Harman [31]

Answer:

The graph of g(x) is a vertical translation of f(x). Although both have the same x coordinates but different y coordinates.

The graph of g is a vertical translation of the graph of f 12 units downward.

Step-by-step explanation:

The equation y=f(x)+k represents that when k is negative, the graph moves downward.

6 0

2 years ago

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