Help please !!!!! plz

Mathematics

1 answer:

Agata [3.3K]3 years ago

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A pharmacist has an 18% alcohol solution and a 40% alcohol solution. How much of each should he mix together to make 10 liters o

ladessa [460]

X = amount of the 18% solution

y = amount of the 40% solution

we know the 18% solution has only 18% of alcohol, the rest is maybe water or something, now, how many liters is 18%? well, 18% of anything is just (18/100) * anything, so, 18% of x is just (18/100) *x or 0.18x, and that's how many liters are there.

likewise, how many liters are there in the 40% solution? well, (40/100) * y, or 0.4y, that many.

we know the mixture has to yield 10 liters at 20% alcohol, how many liters of only alcohol is that? well, (20/100) * 10, or 2 liters.

$\bf \begin{array}{lccclll}
&\stackrel{liters}{amount}&\stackrel{alcohol~\%}{quantity}&\stackrel{liters}{alcohol}\\
&------&------&------\\
\textit{18\% solution}&x&0.18&0.18x\\
\textit{40\% solution}&y&0.40&0.4y\\
------&------&------&------\\
mixture&10&0.20&2
\end{array}$

$\bf \begin{cases}
x+y=10\implies \boxed{y}=10-x\\
0.18x+0.4y=2\\
----------\\
0.18x+0.4\left( \boxed{10-x} \right)=2
\end{cases}
\\\\\\
0.18x-0.4x+4=2\implies -0.22x=-2
\\\\\\
x=\cfrac{-2}{-0.22}\implies x=\cfrac{100}{11}\implies x=9\frac{1}{11}$

how much of the 40% solution? well y = 10 - x

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3 years ago

I am a multiple of 3 and 5. the sum of my digits is 9. what number am I?

iVinArrow [24]

Answer:

The answer is 45.

Step-by-step explanation:

This number is a multiple of 3 and 5, since it is divisible by both of these numbers.

4 + 5 equals 9, which is what it means by the sum of it's digits.

I hope this helps!

#teamtrees #WAP (Water And Plant)

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2 years ago

the price of a taxi ride in phoenix includes an initial fee of $2.75 plus $2.20 per mile. write an equation to show the total pr

ki77a [65]

The format is y = mx + b
where y would be your C
x would be your M
m would be the price per mile (2.20)
and b would be your initial fee (2.75)

put this together in that format and we get
C = 2.20M + 2.75

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Complete the scale by labeling the remaining tick marks

scoundrel [369]

Answer:

Can you provide a picture?

I cannot help you if you don't.

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Converting percent into decimals

blagie [28]

To convert a percent to a decimal, you move the the decimal left two places to convert the percent to a decimal. For example, if you were to convert 14% to a decimal, you move the decimal left two places so that 14% converted to a decimal would look something like this: 0.14

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3 years ago

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