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inysia [295]
2 years ago
6

A map scale is 1 in.:50 mi.Two cities are 450 miles apart.How far apart are the cities on the map.

Mathematics
1 answer:
Ann [662]2 years ago
5 0
A ratio is the same thing as a fraction.
You should have \frac{1 in.}{50 mi.}
If you want to make something in inches, but the miles are on the bottom, you will have to multiply the miles on top to get rid of it on the bottom,
Like this: \frac{1 in.}{50 mi.} . \frac{450 mi.}{1 in.}
That makes it 450/50, which is just 9 inches.

The answer is 9 inches.
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Let x= Time taken by Ximena to paint the fence alone .

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\dfrac{1}{x}+\dfrac{1}{x-12}=\dfrac{1}{8}\\\\\Rightarrow\ \dfrac{x-12+x}{x(x-12)}=\dfrac{1}{8}\\\\\Rightarrow\ 8(2x-12)=x^2-12x\\\\\Rightarrow\ 16x-96=x^2-12x\\\\\Rightarrow\ x^2-12x-16x+96=0\\\\\Rightarrow\ x^2-28x+96=0\\\\\Rightarrow\ x^2-4x-24x+96=0\\\\\Rightarrow\ x(x-4)-24(x-4)=0\\\\\Rightarrow\ (x-4)(x-24)=0\\\\\Rightarrow x=4, 24

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Time taken by Ximena to paint the fence alone  = 24 hours

Time taken by Candice to paint the fence alone = 24-12=12 hours

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