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babunello [35]
3 years ago
6

flying against the wind an airplane travels 8460 kilometers in 9 hours. flying with the wind, the same plane travels 9600 kilome

ters in 8 hours. what is the rate of the plane in still air and what is the rate of the wind
Mathematics
1 answer:
BabaBlast [244]3 years ago
3 0

Let <em>a</em> be the speed of the plane and <em>w</em> the wind speed.

<em>a</em> - <em>w</em> = (8460 km)/(9 h) = 940 km/h

<em>a</em> + <em>w</em> = (9600 km)/(8 h) = 1200 km/h

Add these speeds together to eliminate <em>w</em> and solve for <em>a</em> :

2<em>a</em> = 1740 km/h

<em>a</em> = 870 km/h

Subtract the first vector from the second to eliminate <em>a</em> and solve for <em>w</em> :

2<em>w</em> = 260 km/h

<em>w</em> = 130 km/h

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barxatty [35]

Answer:

(0, 5), (1, 3), (2, 1), (3, -1), (4, -3)

Step-by-step explanation:

To find the possible solutions, we just plug in a random value for x and then solve for y. When x - 0, y = 5. When x = 1, y = 3. We just continue doing this until we have 5 different solutions.

7 0
2 years ago
An inchworm ran into a log while on his way to the raspberry patch. The diameter of the log is 32 cm. How far did the inchworm t
Iteru [2.4K]
The answer in this question is C 50cm. The inchworm did travel while on the log of approximately 50 centimeter while on his way to the rasperry patch. With the diameter of the log is 32 centimeter the distant that the inchworm travel while on the log is approximately 50 centimeter.
3 0
4 years ago
What is the y-intercept of the equation y=−5x−2 ? Enter your answer in the box.
tangare [24]

Answer:

(0,-2)

Step-by-step explanation:

substitute in 0 for x

and solve for y

3 0
3 years ago
A box contains 12 tiles.each tile is shaped like a parallelogram. Each tile has a base of 9 inches and a height of 5 inches. Wha
Zarrin [17]
Hello!

The area of a parallelogram is A=bh. 

A=9(5)=45

Each tile has an area of 45. Now we multiply by 12 to get the total.

45(12)=540

The total area of all the tiles is 540 in.²

I hope this helps!
4 0
3 years ago
16. Using a standard 52 card deck, what is the probability of pulling the king of hearts if you are
Soloha48 [4]

Answer:

Step-by-step explanation:

The way to do this (I think) is to figure out the probability of not getting said king on either throw.

First Throw: P(no King Hearts) = 51/52

Second Throw: P(no King Hearts) = 50/51

Total probability = 51/52*50/51 = 50/52

Therefore the probability of getting it right is

P(KH) = 1 - 50/52 = 2/52 = 1/26

I have a feeling that this is not correct. If you get a different answer  that looks reasonable, take it.

7 0
3 years ago
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