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anyanavicka [17]
3 years ago
10

An airplane flying with the wind takes 2 hours to travel a distance

Mathematics
1 answer:
Sever21 [200]3 years ago
7 0

9514 1404 393

Answer:

  • airplane: 225 mph
  • wind: 45 mph

Step-by-step explanation:

The average speed with the wind is (540 mi)/(2 h) = 270 mi/h.

The average speed against the wind is (540 mi)/(3 h) = 180 mi/h.

Let a and w represent the speeds of the airplane and wind, respectively.

  a + w = 270 . . . . speed with the wind

  a - w = 180 . . . . speed against the wind

  2a = 450 . . . . . . sum of the two equations

  a = 225 . . . . . . divide by 2

  w = a -180 = 45

The speed of the airplane is 225 miles per hour; the speed of the wind is 45 miles per hour.

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The correct answer is option B. Return on Investment.

Step-by-step explanation:

The return on investment is used when we want to measure the capacity of an investment, or compare it among several other investments.

Here the <u>benefit of a certain investment will be compared in contrast to the money invested.  </u>

To calculate the return on investment there is a formula which will give us a percentage:

ROI = Margin on sales X asset turnover.

Now let's clarify what each of these things is:

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Alonzo is $120 in debt. He makes 15 per hour. He wants to have at least $75 left over after he has paid off his debt.
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Solve the system of equations.
morpeh [17]

Answer:

y=3,x=1.3,z=6.2 :)

Step-by-step explanation:

y=3,x=1.3,z=6.2 :)

So, we have:

   : x+y+z=10 [equation 1]

   : 5x+3y=14  [equation 2]

   : x−2y+z=2.5 [equation3]

(I'm going to assume that you know how to solve equations with 2 variables)

1. eliminate a variable to get 2 variables

Let's reverse equation 2:

-x+2y-z= -2.5

and take equation 1, to try to eliminate "z"

x+y+z=10

add up the 2 equations to get:

3y=7.5

and solve to get

y=2.5

2. substitute what we already solved into another equation

Luckily, equation 2 only has 2 variables, and one is y, so we can sub it in.

5x+3y=14 --> 3x+3(7.5)=14

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3. Substitute both of our variables in to get the final variable: z

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x+y+z=10 --> 1.3+2.5+z=10

solve to get

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I hope this helps you!

3 0
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