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DanielleElmas [232]
3 years ago
15

A plane traveled 2565 miles with the wind in 4.5 hours and 2205 miles against the wind in the same amount of time. Find the spee

d of the plane in still air and the speed of the wind.
Mathematics
1 answer:
kherson [118]3 years ago
7 0

Answer:

  • plane: 530 mi/h
  • wind: 40 mi/h

Step-by-step explanation:

Let p and w represent the speeds of the plane and the wind. The relation between time, speed, and distance is ...

  speed = distance/time

  p +w = (2565 mi)/(4.5 h) = 570 mi/h

  p -w = (2205 mi)/(4.5 h) = 490 mi/h

Adding these speeds, we get ...

  (p +w) +(p -w) = (570) +(490) mi/h

  2p = 1060 mi/h

  p = 530 mi/h

Then the speed of the wind is ...

  w = 570 mi/h -p = (570 -530) mi/h = 40 mi/h

The plane's speed is 530 mi/h; the wind speed is 40 mi/h.

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Andrei [34K]

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The correct answer is C. The 4th term is 11.

Step-by-step explanation:

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How many positive three-digit integers have the hundreds digit equal to 7 and the units (ones) digit equal to 1?
Lina20 [59]

Using the Fundamental Counting Theorem, it is found that there are 10 positive three-digit integers have the hundreds digit equal to 7 and the units (ones) digit equal to 1.

<h3>What is the Fundamental Counting Theorem?</h3>

It is a theorem that states that if there are n things, each with n_1, n_2, \cdots, n_n ways to be done, each thing independent of the other, the number of ways they can be done is:

N = n_1 \times n_2 \times \cdots \times n_n

The number of options for each selection are given as follows, considering there are 10 possible digits, and that the last two are fixed at 7 and 1, respectively:

n_1 = 10, n_2 = n_3 = 1

Hence, the number of integers is given by:

N = 10 x 1 x 1 = 10.

More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866

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Step-by-step explanation:

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hope this helps

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3 years ago
Read 2 more answers
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