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arsen [322]
3 years ago
10

Two airplanes leave an airport at the same time, flying in the same direction. One plane is flying at twice the speed of the oth

er. If after 4 hours they are 1800 km apart, find the speed of each plane.
Mathematics
1 answer:
olasank [31]3 years ago
3 0

Answer:

One plane has a speed of 450 km/h and the other has a speed of 900 km/h.

Step-by-step explanation:

I am going to say that:

The speed of the first plane is x.

The speed of the second plane is y.

One plane is flying at twice the speed of the other.

I will say that y = 2x. We could also say that x = 2y.

Two airplanes leave an airport at the same time, flying in the same direction

They fly in the same direction, so their relative speed(difference) at the end of each hour is y - x = 2x - x = x.

If after 4 hours they are 1800 km apart, find the speed of each plane

After 1 hour, they will be x km apart. After 4, 1800. So

1 hour - x km apart

4 hours - 1800 km apart

4x = 1800

x = 1800/4

x = 450

2x = 2*450 = 900

One plane has a speed of 450 km/h and the other has a speed of 900 km/h.

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Answer:

its B

Step-by-step explanation:

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2 years ago
HELP EMERGENCY!!!!!! What is the equation of the line?<br> Y=3x-1<br> Y=-3x<br> Y=3x+1<br> Y=3x
ch4aika [34]
<h2>Answer:</h2>

By process of elimination, we can eliminate:

  • <em>A:</em> <em>y = 3x - 1</em>
  • <em>C: y = 3x + 1</em>
  • <em>B: y = -3x</em>

<em>A and C</em> don't work because the given line has it's y-intercept at the origin, therefore, no y-intercept is written. <em>B </em>is not it either because the line <em>does not</em> go <em>down</em> from <em>left to right</em>, therefore, the slope is <em>not</em> negative.

The answer is <em>D: y = 3x</em> because since the line goes <em>up</em> from <em>left to right</em>, the slope is positive, and the y-intercept is the origin, so the equation will have no b.

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3 years ago
According to a 2014 research study of national student engagement in the U.S., the average college student spends 17 hours per w
Nadusha1986 [10]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 17

For the alternative hypothesis,

µ < 17

This is a left tailed test.

Since the population standard deviation is not given, the distribution is a student's t.

Since n = 80,

Degrees of freedom, df = n - 1 = 80 - 1 = 79

t = (x - µ)/(s/√n)

Where

x = sample mean = 15.6

µ = population mean = 17

s = samples standard deviation = 4.5

t = (15.6 - 17)/(4.5/√80) = - 2.78

We would determine the p value using the t test calculator. It becomes

p = 0.0034

Since alpha, 0.05 > than the p value, 0.0043, then we would reject the null hypothesis.

The data supports the professor’s claim. The average number of hours per week spent studying for students at her college is less than 17 hours per week.

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3 years ago
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dmitriy555 [2]

2x - 3y = - 2

3x - 2y = 12

the value of X in the solution to the system is 4.

6 0
3 years ago
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motikmotik

Answer:

v= 5/6

Step-by-step explanation:

You have to divide -6 on both sides to isolate the variable V. Then it would become -5/-6. The negative signs cancel out.

6 0
3 years ago
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