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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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scZoUnD [109]

Answer:

  • <u>74%</u>

Explanation:

You can build a two-way relative frequency table to represent the data:

These are the columns and rows:

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Boys

Girl

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Fill the table

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  • <em>60% of the boys at the school arrive by car</em>

That is 60% of 30% = 0.6 × 30% = 18%

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Boys      18%                         30%

Girls

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By difference you can fill the cell of Boy and No car: 30% - 18% = 12%

             Car         No car      Total

Boy       18%           12%         30%

Girl

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Also, you know that the grand total is 100%

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Boy       18%           12%         30%

Girl

Total                                     100%

By difference you fill the total of Girls: 100% - 30% = 70%

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Boy       18%           12%         30%

Girl                                         70%

Total                                     100%

  • <em>80% of the girls at the school arrive by car</em>

That is 80% of  70% = 0.8 × 70% = 56%

             Car         No car      Total

Boy       18%           12%         30%

Girl       56%                         70%

Total                                     100%

Now you can finish filling in the whole table calculating the differences:

             Car         No car      Total

Boy       18%           12%         30%

Girl        56%         14%         70%

Total     74%          26%      100%

Having the table completed you can find any relevant probability.

The probability that a child chosen at random from the school arrives by car is the total of the column Car: 74%.

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8 0
3 years ago
Find the area of a rectangle that is 16 3/5in. by 8 9/10
Alenkinab [10]
<h2>Greetings!</h2>

Answer:

Area is 147.74

Step-by-step explanation:

You need to recall that the equation for the area of a rectangle is:

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So 16 3/5 * 8 9/10 = area

Rearrange so the whole numbers are being multiplied and the fractions are too:

We need to make the denominator same, this can be done by simply multiplying 3/5 by 2:

3/5 * 2 = 6/10

Now the two numbers can be written as 16.6 and 8.9.

Multiply both numbers by 10:

166 * 89 = 14774

Then divide this by 100 (two lots of division by 10)

14774 ÷ 1000 = 147.74

So the area of the rectangle is 147.74!


<h2>Hope this helps!</h2>
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