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marin [14]
3 years ago
12

You need a 60% alcohol solution. On hand, you have a 480 mL of a 75% alcohol mixture. How much pure water will you need to add t

o obtain the desired solution?​
Mathematics
1 answer:
svetlana [45]3 years ago
5 0

Answer:

120 mL

Step-by-step explanation:

If the 480 mL has 75% concentration, then 360 mL are alcohol. To turn the 360 into only 60%, you need to increase the amount of water.

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FrozenT [24]
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Step by step solution :

STEP
1
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Isolate the square root on the left hand side

Radical already isolated
√10x-24 = x


STEP
2
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Eliminate the radical on the left hand side

Raise both sides to the second power
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After squaring
10x-24 = x2


STEP
3
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Solve the quadratic equation

Rearranged equation
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{x1, x2}={6, 4}


STEP
4
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Check that the first solution is correct

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√10x-24 = x

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Simplify
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Solution checks !!
Solution is:
x = 6

STEP
5
:
Check that the second solution is correct

Original equation
√10x-24 = x

Plug in 4 for x
√10•(4)-24 = (4)

Simplify
√16 = 4
Solution checks !!
Solution is:
x = 4
7 0
3 years ago
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