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iren [92.7K]
3 years ago
7

Flying against the wind, an airplane travels 6060 kilometers in 6 hours, Flying with the wind, the same plane travels 12,150 kil

ometers in 9 hours. What is the rate of the plane in still air and what is the rate of the wind?​
Mathematics
1 answer:
geniusboy [140]3 years ago
7 0

Let <em>s</em> be the plane's speed in still air and <em>w</em> the wind speed. Then

<em>s</em> - <em>w</em> = (6060 km)/(6 h) = 1010 km/h

<em>s</em> + <em>w</em> = (12,150 km)/(9 h) = 1350 km/h

Adding these equations together eliminates <em>w</em> and lets you solve for <em>s</em> :

(<em>s</em> - <em>w</em>) + (<em>s</em> + <em>w</em>) = 1010 km/h + 1350 km/h

2<em>s</em> = 2360 km/h

<em>s</em> = 1180 km/h

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Now, we can simply add our numerators.

25+24=49

We know that he needs \frac{49}{15} gallons of paint, but this is not in the most simplified format. To simplify, we need to turn our improper fraction back to a mixed number. To do this, we need to divide our numerator by the denominator to create our whole number, and the remainder becomes our new numerator.

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A restaurant serves custom-made omelets, where guests select meat, cheese, and vegetables to be added to their omelet. There are
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Answer: The number of different combinations of 2 vegetables are possible = 15 .

Step-by-step explanation:

In Mathematics , the number of combinations of selecting r values out of n values = ^nC_r=\dfrac{n!}{r!(n-r)!}

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Then, the number of different combinations of 2 vegetables are possible will be :

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Hence , the number of different combinations of 2 vegetables are possible = 15 .

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