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gizmo_the_mogwai [7]
2 years ago
12

A red candle is 11 2/5 inches tall. The label claims that the candle will melt 1 1/8 inch every hour it burns. If the label is c

orrect, for how many hours will the candle burn?
Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
3 0
11\frac{2}{5}\ inches\ burn\ in\ x\ hours\\\\
1\frac{1}{8}\ inches\ burn\ in\ 1\ hour\\\\cross\ multiplication\\\\
11\frac{2}{5}=1\frac{1}{8}x\ \ \ \ | divide\ by\ 1\frac{1}{8}\\\\
\frac{\frac{57}{5}}{\frac{9}{8}}=x\\\\\frac{57}{5}*\frac{8}{9}=x\\\\
x=\frac{456}{45}=10\frac{2}{15}\\\\
Candle\ will\  burn\ in \ 10\frac{2}{15}\ hours.
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3 years ago
to make a shade of plant called Jasper Green, Mix 4 quarts of green paint with 2/3 cups of black paint. how much green paint sho
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24 quarts of green paint should be mixed with 4 cups of black paint.

That is (96 cups)

Step by step explanation

Jasper Green mix 4 quarts of green paint with 2/3 cups of black paint.

Let's convert 4 quarts into cups.

1 quart = 4 cups

4 quarts = 16 cups

Here mix 16 cups of green paint with 2/3 cups of black paint.

Let's use the proportion

Green paint                      Black paint

16                                          2/3

x                                            4

16/x =2/3 divided by 4

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Cross multiplying, we get

16*4 = 2/3 x

64 = 2/3 x

x = 64/(2/3)

x = 64 * 3/2

x = 192/2

x = 96 cups

96 cups of green paint should be mixed with 4 cups of black paint.

We can covert 96 cups into quarts by dividing by 4

96/4 = 24 quarts

24 quarts of green paint should be mixed with 4 cups of black paint.

Thank you.

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