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galben [10]
3 years ago
6

What is the slope of the line?

Mathematics
2 answers:
igor_vitrenko [27]3 years ago
5 0

The easiest way to find the slope is to find 2 points that are at an exact point. (-3,1) and (2,-3) are exact points. Start at (-3,1) and count to the right 5 and go down four. The slope would be \frac{5}{-4} or \frac{-5}{4}.

I hope my explanation makes sense! :) If it doesn't make sense I can try to explain it better!

liq [111]3 years ago
3 0
I think the slope is -0.8
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A movie theater complex gave a poll as viewers exited from two theaters showing the same film. They had a 20% response rate from
sp2606 [1]

Answer:

Let´s define the variables:

x = number of people in theater A

y = number of people in theater B

We know that a 20% (or 0.2 in decimal form) of the people in theater A answered the survey, then the number of people from theater A that answered the survey is: Na = 0.2*x

We know that a 30% (or 0.3 in decimal form) of the people in theater B answered the survey, then the number of people from theater B that answered the survey is: Nb = 0.3*y

There where 800 people in total (counting from the two theatres)

Then x + y = 800.

A) In this case we have:

Na = Nb

this means that:

0.2*x = 0.3*y

and we also have the equation:

x  + y = 800

To solve this, we need to isolate one variable in one of the equations, i will isolate x in the second equation:

x = 800 - y

And now we can replace this in the other equation to get:

0.2*(800 - y) = 0.3*y

We need to solve this for y:

160 - 0.2*y = 0.3*y

160 = 0.3*y + 0.2*y = 0.5*y

160/0.5 = y = 320

Then there where 320 people in theater B, and:

x + y = 800

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x = 800 - 320 = 480

There where 480 people in theather A.

B) Now we have:

x = 440

y = 360

then:

Na = 0.2*440 = 88

In theater A, 88 people answered the survey.

Nb = 0.3*360 = 108

In theater B, 108 people answered the survey.

In total, 88 + 108 = 196 people answered the survey.

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2 years ago
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