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skelet666 [1.2K]
3 years ago
11

How many ounces of a ​17 % alcohol solution must be mixed with 4 ounces of a 20 ​% alcohol solution to make a 19 ​% alcohol​ sol

ution?
Mathematics
1 answer:
andre [41]3 years ago
5 0

Answer:

  • 4 ounces

Step-by-step explanation:

Let the required amount is x.

<u>Alcohol content is same at the end:</u>

  • x*0.17 + 4*0.2 = (x + 4)*0.19
  • 0.17x + 0.8 = 0.19x + 0.72
  • 0.19x - 0.17x = 0.8 - 0.72
  • 0.02x = 0.08
  • x = 0.08/0.02
  • x = 4
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The slope of a line is given by:

m=\frac{y_2-y_1}{x_2-x_1}

Plugging the values of the problem we have:

3=\frac{19-10}{x-4}

Solving for x we have:

\begin{gathered} 3=\frac{19-10}{x-4} \\ 3=\frac{9}{x-4} \\ 3(x-4)=9 \\ x-4=\frac{9}{3} \\ x-4=3 \\ x=3+4 \\ x=7 \end{gathered}

Therefore, x=7.

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In a class of 29 students, 19 are female and 14 have an a in the class. there are 8 students who are male and do not have an a i
vodomira [7]

Answer:

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2 years ago
The 2s in 6,228 name the value of the given digits in each number
Yuliya22 [10]

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2 is at hundreds place in the digits 6228, so the place value of 2 is 200 (2 \times 100).

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So, first 2 in the digits 6,228 is at hundreds place and the second 2 is at tens place.

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Answer:

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irakobra [83]

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