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fomenos
3 years ago
7

Please help quick!

Mathematics
1 answer:
Ainat [17]3 years ago
5 0

Answer:

f^−1(x)=1/3+lnverse(x)/3inverse(2)

Step-by-step explanation:

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You need 660 mL of a 40% alcohol solution. On hand, you have 35% alcohol mixture. You also have a 95% alcohol mixture. How much
ozzi

Answer:

A. 605 mL of the 35% solution

B. 55 mL of the 95% solution

Step-by-step explanation:

It is given that, you need 660 mL of a 40% alcohol solution. On hand, you have 35% alcohol mixture. You also have a 95% alcohol mixture.

Let x and y be the amount of 35% alcohol solution and 95% alcohol solution (in mL) respectively.

So,

Amount equation: x+y=660        ...(1)

Alcohol equation : 0.35x+0.95y=0.40(660)\Rightarrow 0.35x+0.95y=264     ...(2)

On solving (1) and (2), we get

0.35(660-y)+0.95y=264

231-0.35y+0.95y=264

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y=\dfrac{33}{0.6}

y=55

Now, substitute y=55 in (1).

x+55=660  

x=660-55  

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Therefore, we need 605 mL of the 35% solution  and 55 mL of the 95% solution.

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An architect designs a diagonal path across a rectangular patio. The path is 29 meters long. The width of the patio is x meters,
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