For

and

to be inversely proportional, there must be some constant

such that

Given that

when

, it follows that

Then when

, we have
S = Speed
D = Distance
T = Time
S = D/T
S = 50m/1/2
50 divided by 1/2 = 25
25 = 50/1/2
S = 25 m/min.
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Answer:
- 100 mL of 75% solution
- 150 mL of pure alcohol
Step-by-step explanation:
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.
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