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nirvana33 [79]
3 years ago
11

A runner ran 2/3 of a race in 21 minutes. They ran the entire race at a constant speed How long did it take to run the entire ra

ce?
Mathematics
1 answer:
Elenna [48]3 years ago
8 0

Answer:

31.5 minutes

Step-by-step explanation:

21 / 2 = 10.5

10.5 x 3 = 31.5

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write the equation of the line that passes through the point (2,-3) and is perpendicular to the line y=-2x+3. And how do you fin
pogonyaev

Answer:

y=2x-7

Step-by-step explanation:

The easiest way to answer this would be by using the slope-intercept form equation, y=mx+b. In this case, we can use our given in information to plug in values and find the equation.

Firstly, let's assess what know and what we don't:

Given the point (2,-3), we know that x=2 and y=-3. Now the slope for a perpendicular line can be found using a negative reciprocal, since the product of the slopes of both lines should equal -1. Therefore the slope must be 2.

All that's left is b, the y-intercept. To solve for this, we simply plug in what we have.

y=mx+b

-3=2(2)+b

-3=4+b

-3-4=b

-7=b

Now that we have b, we can write the equation:

y=2x-7

3 0
3 years ago
What is the value of x?<br><br> Enter your answer, as a decimal, in the box.
Tasya [4]

Answer:

Step-by-step explanation:

The following ratio solves the problem

AM/MN = x / MP

(67.2 - 32) /67.2 = x / 81.9

35.2 / 67.2 = x / 81.9

Cross Multiply

67.2 * x = 81.9 * 35.2

67.2 x = 2882.88

Divide by 67.2

x = 2882.88 / 67.2

x = 42.9

6 0
3 years ago
El numero de libros vendidos en una tienda aumentó aproximadamente de 6000 a 9000 durante varios meses cual porcientorepresenta
Aleksandr-060686 [28]

Answer:

50%

Step-by-step explanation:

To calculate the percentage of increase, what we must do divide the two quantities, in this way we will be able to know how bigger they are from each other. So:

9000/6000 = 1.5

Now, we subtract those from 1, which would be 100%

1.5 - 1 = 0.5

therefore the increase was 50%

6 0
3 years ago
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