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Dmitriy789 [7]
3 years ago
5

Flying against the wind, an airplane travels 3360 kilometers in hours. Flying with the wind, the same plane travels 7560 kilomet

ers in 9 hours. What is the rate of the plane in still air and what is the rate of the wind?
Mathematics
1 answer:
Lerok [7]3 years ago
6 0

Answer:

606.6 and 233.3 respectively

Step-by-step explanation:

Let the speed of plane in still air be x and the speed of wind be y.

ATQ, (x+y)*9=7560 and (x-y)*9=3360. Solving it, we get x=606.6 and y=233.3

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(3,-1)

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3x * -2y= -100<br> Solve for y and x.
Sedbober [7]

Answer:

x=50/3y

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7 0
3 years ago
Evan wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence
pentagon [3]

Answer:  A.   A=(1000-2w)*w      B. 250 feet

C.  125 000 square feet

Step-by-step explanation:

The area of rectangular is A=l*w    (1)

From another hand the length of the fence is 2*w+l=1000        (2)

L is not multiplied by 2, because the opposite side of the l is the barn,- we don't need in fence on that side.

Express l from (2):

l=1000-2w

Substitude l in (1) by 1000-2w

A=(1000-2w)*w        (3)   ( Part A. is done !)

Part B.

To find the width w  (Wmax) that corresponds to max of area A   we have to dind the roots of equation (1000-2w)w=0  ( we get it from (3))

w1=0  1000-2*w2=0

w2=500

Wmax= (w1+w2)/2=(0+500)/2=250 feet

The width that maximize area A is Wmax=250 feet

Part C.   Using (3) and the value of Wmax=250 we can write the following:

A(Wmax)=250*(1000-2*250)=250*500=125 000 square feets

3 0
3 years ago
11 1/2 and 13 3/4 is?
Tpy6a [65]
This would depend on what you are asking for.

If you are adding the two numbers(which the word and is implying) you’re answer is 25 1/4.

You get this by finding a common denominator. In this case, that can be 4.

Turn 1/2 in to 2/4.

Next, you add 11 and 13 to get 24.

Then, you’ll add 2/4 and 3/4. You will get 1 1/4

Add 24 and 1 1/4. You have your answer of 25 1/4
5 0
3 years ago
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