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stiv31 [10]
4 years ago
13

I need help with this question to turn it into an equation. The question is

Mathematics
1 answer:
SVEN [57.7K]4 years ago
7 0
Sure, here is how I broke it down. The bird is flying a constant X miles per hour with a wind speed of Y miles per hour. So, there are two equations that you use to solve. Here they are:

X+Y=12
X-Y=4

Now, you have to use substitution or elimination to solve (I will use elimination). To use elimination, you simply add both equations together to get:

2X=16
Solve for X by dividing by 2.

X=8. We already established that X is the speed of the bird. Plug X back into either of the equations to find the windspeed.

(8)+Y=12

Subtract 8 from both sides.

Y=4. We already established that Y is the windspeed.

So, the speed of the bird (X) is 8mph and the speed of the wind (Y) is 4mph.

Hope this helped!!
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What are the positive and negative square roots of 1?
vredina [299]

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Which expression is equivalent to 2 (14x-37+28x+12.2-5y-17.5)?
ziro4ka [17]

Answer:

A. 84x - 16y - 10.6

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\sf \rightarrow 2(14x-3y+28x+12.2-5y-17.5)

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7 0
2 years ago
HELP URGENT PLEASE
ki77a [65]

Answer:

A)

15 hours

B)

108 hours

C)

2074.29 miles

Step-by-step explanation:

Under the assumption the earth is a perfect circle, then in one complete rotation about its axis ( 24 hours) the Earth will cover 360 degrees or 2π radians.

A)

In every 24 hours the earth rotates through 360 degrees ( a complete rotation). We are required to determine the length of time it will take the Earth to rotate through 225 degrees. Let x be the duration it takes the earth to rotate through 225 degrees, then the following proportions hold;

(24/360) = (x/225)

solving for x;

x = (24/360) * 225 = 15 hours

B)

In 24 hours the earth rotates through an angle of 2π radians (a complete rotation) . We are required to determine the length of time it will take the Earth to rotate through 9π radians. Let x be the duration it takes the earth to rotate through 9π radians, then the following proportions hold;

(24/2π radians) = (x/9π radians)

Solving for x;

x = (24/2π radians)*9π radians = 108 hours

C)

If the diameter of the earth is 7920 miles, then in a day or 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle;

circumference = 2*π*R = π*D

                         = 7920*3.142

                         = 24891.43 miles

Therefore a point on the equator covers a distance of 24891.43 miles in 24 hours. This will imply that the speed of the earth is approximately;

(24891.43miles)/(24 hours) = 1037.14 miles/hr

The distance covered by the point in 2 hours will thus be;

1037.14 * 2 = 2074.29 miles

5 0
3 years ago
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