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Temka [501]
3 years ago
8

A pilot flew a 400-mile flight in 2.5 hours flying into the wind. Flying the same rate and with the same wind speed, the return

trip took only 2 hours, with a tailwind.
What was the speed of the wind?

miles per hour
Mathematics
1 answer:
zheka24 [161]3 years ago
4 0

Answer:

20 miles per hour

Step-by-step explanation:

traveling against the wind was 160mph (400/2.5)

traveling with the wind was 200mph (400/2)

going against the wind is going in the negative direction of the wind speed, and going with the wind is going in a positive direction of the wind speed, therefore the wind speed is |direction1-direction2|/2, which would be |200-160|/2 = |40|/2 = 20mph

(180mph is neutral speed with no wind, with wind affecting this neutral speed ±20mph)

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1. Colored copies cost 10¢ per copy and white copies
kap26 [50]

Answer:

the answer is  A

Step-by-step explanation:i just did it

your welcome

3 0
4 years ago
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I NEED HELP WITH MATH<br><br>Question: (In the pic)
storchak [24]
Inequality, because want to know when we'll make a profit.
d (- 680+ 960) \geqslant 52000 \\  280d \geqslant 52000
Profit: Let's See When 280d equals 52000

d \geqslant  \frac{52000}{280}  \\ d \geqslant 185.71
So, after 190 days Julianne will make a profit
280(190) \geqslant 52000 \\ 53200
8 0
4 years ago
The function f(h)=8.5h+320 models the amount of money Amy has in her savings after each hour of work.
Ksenya-84 [330]

Answer:

a) h: Number of hours

b) Slope of function

c) y-intercept

Step-by-step explanation:

We are given the following in the question:

f(h)=8.5h+320

The above function tells us about amount of money Amy has in her savings after each hour of work.

a) value of "h"

The above function tells us about the money saved by Amy after each hour of work.

Thus, h here stands foe the number of hours.

b)  meaning of the coefficient h

Comparing the given function to a linear function:

f(h) = mh + c

Thus, coefficient of h is the slope of the function and tells the change in amount of money saved by Amy per unit hour or it tells the change in amount of money when there is a unit increase in hour.

c) meaning of constant

The constant is the y-intercept and tells the amount of money saved by Amy after she have worked for zero hours.

3 0
3 years ago
Write the equation of the line that passes through the points (-3,2) and (-1,6)
Dmitrij [34]

Answer:

y=2x+8

Step-by-step explanation:

An equation that is most suitible for this kind of problem is the slope intercept form with is y=mx+b.

m=slope

b=y-intercept

1: Find the slope

Use the formula y2-21/x2-x1

6-2/-1-(-3)=4/2=2

m=2

2: Find the y-intercept

For me personally, I think it is easiest to just graph the points, draw the line, then find where the line meets the y-axis.

b=8

<u>y=2x+8</u>

<em>Hope this helped! Brainliest would be awesome :)</em>

4 0
4 years ago
A city is in the shape of a rectangle. In 1995 the width of the city was 9 miles and the length of the city was 5 miles. The wid
iogann1982 [59]

Answer:

DA/dt   = 37 / 18

Step-by-step explanation:

We have the following information:

Sides of the rectangle    L = length     w = width

Area of the rectangle  is :   A = L* w

the rate of growing of the length ( as function of time ) 1 mile in 6 years

we can express that as :

DL/dt   = 1 /6

And the rate  of growing of the width ( as function of time ) 1 mile in 9 years

Dw/dt  = 1/9

In 1995  dimensions of the rectangle were

L = 5 miles   and  w = 9 miles

Then:

A = L * w          Taking derivatives

DA/dt   =  L * Dw/dt  +  w * DL/dt

DA/dt   = 5 * (1/9) + 9 * (1/6)     ⇒   DA/dt   =  5/9  + 9/6

DA/dt   =  111 / 54      ⇒    DA/dt   = 37 / 18

3 0
3 years ago
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