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Vesnalui [34]
3 years ago
15

One solution contains 40% alcohol and another solution contains 70% alcohol. How many liter of each solution should be mixed to

make 10.5 liters of a 60% alcohol solution?
Mathematics
1 answer:
astraxan [27]3 years ago
8 0
.4(x)+ .7(10.5-x)=(.6)(10.5)
-.3x=-1.05
X=3.5 Liters
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Help with this math question
tresset_1 [31]
The given inequality is:

|-8x+24| \leq 16

This inequality can be divided in two parts as:

a) -16 \leq -8x +24
b) -8x + 24 \leq 16

Solving part a:

-16 \leq -8x+24 \\  \\ &#10;-40 \leq -8x \\  \\ &#10;5 \geq x \\ &#10;or \\ &#10;x \leq 5

Solving part b:

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Therefore, the solution to the given inequality is x \leq 5 and x \geq 1. Combining both the ranges we get the solution: 1 \leq x \leq 5.

In interval notation, this solution can be expressed as [1,5]
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