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posledela
2 years ago
10

A chemical company makes two brands of antifreeze. The first brand is 45% pure antifreeze, and the second brand is 95% pure anti

freeze. In order to obtain 70 gallons of a mixture that contains 65% pure antifreeze, how many gallons of each brand of antifreeze must be used?
Mathematics
1 answer:
Dimas [21]2 years ago
7 0

Answer:

42 gallons 45% antifreeze

28 gallons 95% antifreeze

Step-by-step explanation:

If x is volume of 45% antifreeze, and y is volume of 95% antifreeze, then the total volume is:

x + y = 70

And the total amount of antifreeze is:

0.45 x + 0.95 y = 0.65 (70)

Solving by substitution:

0.45 x + 0.95 (70 − x) = 0.65 (70)

0.45 x + 66.5 − 0.95 x = 45.5

21 = 0.5 x

x = 42

y = 28

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5(x+6)-2x=3(x+10) solve for x
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Answer:

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Step-by-step explanation:

1. distribute: 5(x+6)-2x=3(x+10)

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2. combine like terms 3x+30=3x=30

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On Saturday, many tickets for a hockey game were sold. Children and adult tickets were sold in the ratio of 4:7. There are 88 ti
Illusion [34]

Answer:

49 tickets

Step-by-step explanation:

THis is pretty straight forward

So we have the ratio 4:7

We know there were 88 tickets in total but we don’t know the exact amount of adult and kids

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Now we can divide 88 by 11

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So by doing this we know there are 7 groups of the ratio for child to adults 4:7

So we just multiply the 7 to each

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you’ll get 28:49

Now we know there are 28 kid tickets and 49 adult tickets

We know this is correct becuase if you add up the ratio, it’ll be 88

Which is the same as the amount fo people at the hockey game

6 0
3 years ago
How do you write 3 7/10 as a decimal
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Answer:

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Step-by-step explanation:

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Divide 7 with 10:

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Remember that there is a whole number, 3. Add that to the decimal you have gotten:

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3.7 is your answer.

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Step-by-step explanation:

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