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morpeh [17]
3 years ago
12

In the lab, Eric has two solutions that contain alcohol and is mixing them with each other. He uses 3 times as much Solution A a

s Solution B. Solution A is 20% alcohol and Solution B is 14% alcohol. How many milliliters of Solution B does he use, if the resulting mixture has 518 milliliters of pure alcohol?
Mathematics
1 answer:
Oduvanchick [21]3 years ago
5 0

Answer:

Solution A = 2100

Solution B = 700

Step-by-step explanation:

Given that:

Let :

Millimeter of solution A = a

Millimeter of solution B = b

% alcohol, solution A =. 20% = 0.2

% alcohol solution B, = 14% = 0.14

Resulting millimeter of. Alcohol = 518

a = 3b - - - (1)

0.2a + 0.14b = 518 - - - - (2)

Put a = 3b in (2)

0.2(3b) + 0.14b = 518

0.6b + 0.14b = 518

0.74b = 518

b = 518 / 0.74

b = 700

a = 3b

a = 3(700)

a = 2100

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What is the inverse of the following statement? If m is the midpoint of PQ, then PM is congruent to QM
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<h3>What do you mean by inverse?</h3>

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Read 2 more answers
Show work <br> only do those <br> 32,34,36,38,40
Free_Kalibri [48]

Answer:  see below

<u>Step-by-step explanation:</u>

32)\quad \dfrac{3}{5}(x-12)>x-24

        3(x - 12) > 5(x - 24)

        3x - 36 > 5x - 120

      <u> -5x       </u>   <u>-5x         </u>

        -2x - 36 >      -120

        <u>      +36</u>      <u>    +36 </u>

        -2x        >       -84

   <u>  ÷ -2        </u> ↓    <u>   ÷ -2  </u>

             x      <       42

Graph:   ←------------o

                             42

34)   6[5y - (3y - 1)] ≥ 4(3y - 7)

        6[5y - 3y + 1] ≥ 4(3y - 7)

        6{2y + 1]        ≥ 4(3y - 7)

         12y + 6        ≥ 12y - 28

        <u>-12y            </u>    <u>-12y       </u>

                  6        ≥         -28

                        TRUE  so the solution is All Real Numbers

Graph:   ←-----------------------→

36)   BC  +  AC      > AB

         4    + 8 - AB > AB

                12 - AB  > AB

       <u>             +AB  </u>  <u>+AB </u>

                12          > 2AB

      <u>         ÷2        </u>    <u>÷2     </u>

                 6           >  AB

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Check: let y = 16

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40) question not provided in the image so I cannot give a solution.

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3 years ago
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