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sveticcg [70]
3 years ago
7

An airplane can travel 365mph in still air. If it travels 2716 miles with the wind in the same length of time it travels 2394 mi

les against the wind, what is the speed of the wind?
Mathematics
1 answer:
Anestetic [448]3 years ago
5 0

Answer: the speed of the wind is 365 mph

Step-by-step explanation:

Let x represent the speed of the wind.

An airplane can travel 365mph in still air. If it travels 2716 miles with the wind, it means that its total speed while flying with the wind is (365 + x) mph.

Time = distance/speed

Time spent in flying with the wind is

2716/(365 + x)

In the same length of time, it travels 2394 miles against the wind. it means that its total speed while flying against the wind is (365 - x) mph.

Time spent in flying against the wind is

2394/(365 - x)

Since the time is the same, it means that

2716/(365 + x) = 2394/(365 - x)

Cross multiplying, it becomes

2716(365 - x) = 2394(365 + x)

991340 - 2716x = 873810 + 2394x

2394x + 2716x = 991340 - 873810

5110x = 1865150

x = 1865150/5110

x = 365 mph

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Answer:

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Step-by-step explanation:

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From the given info:

32 = k*16*6 = 96k

So k = 32/96 = 1/3.

So we have the equation of variation:

V = 1/3Bh

When V = 60 B = 20, so:

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3 0
2 years ago
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Answer:

\huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:}\

<em><u>Linear function :</u></em>The characteristic property of linear functions is that when the input variable is changed, the change in the output is proportional to the change in the input. Linear functions are related to linear equations.

Step-by-step explanation:

We have

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for 1st

not satisfied.

for

2nd

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<em><u>3rd</u></em>

<em><u>3rd satisfied</u></em>

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3 0
3 years ago
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Nutka1998 [239]

Answer:

Table 1(red)

Step-by-step explanation:

A proportional relationship will have a constant of proportionality between y and x all through the data given.

Constant of proportionality, k = y/x

Table 1 (red):

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4 0
3 years ago
Mark spent a total of ₱60 in 6 days by spending half the amount he spent the previous day. What was the amount he spent on the f
motikmotik

Answer: 30.48

Step-by-step explanation:

Sum the series of 30.48 + (1/2)(30.48)+ (1/4)(30.48)+(1/8)(30.48)+(1/16)(30.48)+(1/32)(30.48)

Or use an Excel spreadsheet

6 0
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First factor 175:

1, 5, 5, 7

Now that we know the factors of 175, combine common factors:

1, 5², 7

Hope this helps!
5 0
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