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antiseptic1488 [7]
2 years ago
5

Please answer soon!!!

Mathematics
1 answer:
Inessa [10]2 years ago
7 0

Answer:

x =  \ \frac{225}{13}

Step-by-step explanation:

explanation is in the image aboveexplanation is in the image aboveexplanation is in the image abovehope this helpsplease mark me brainiest

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A pilot can travel 450 miles with the wind in the same amount of time as 360 miles against the wind. Find the speed of the wind
Lunna [17]

Given:

A pilot can travel 450 miles with the wind in the same amount of time as 360 miles against the wind.

Pilot's speed in still air is 315 miles per hour.

To find:

The speed of the wind.

Solution:

Let the speed of wind be x miles per hour.

Speed with wind = 315+x miles per hour

Speed against wind = 315-x miles per hour

We know that,

Time=\dfrac{Distance}{Speed}

According to the question,

\dfrac{450}{315+x}=\dfrac{360}{315-x}

Divide both sides by 90.

\dfrac{5}{315+x}=\dfrac{4}{315-x}

By cross multiplication, we get

5(315-x)=4(315+x)

5(315)-5x=4(315)+4x

5(315)-4(315)=4x+5x

(5-4)315=9x

Divide both sides by 9.

\dfrac{(1)315}{9}=x

35=x

Therefore, the speed of wind is 35 miles per hour.

4 0
3 years ago
Nick can do a certain job in 3 hours less than it takes bonnie to do the same job. If they complete the job together in 9 hours,
il63 [147K]

Answer:

Step-by-step explanation:

Let the number of hours Nick does the job alone to be x - 3 hours

Hence, in 1 hour, Nick has done 1/x - 3

Together they complete the job in 9 hours

Hence, let's represent the job as 1

9/x + 9/x - 3 = 1

Multiply through by (x)(x-3)

9(x- 3) + 9(x) = 1

9x - 27 + 9x = (x)(x-3)

-27 = x² - 3x

x² - 3x +27 = 0

4 0
3 years ago
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The answer is A,C,D

I checked and that is the correct answers. 
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makvit [3.9K]

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Step-by-step explanation:

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