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bonufazy [111]
3 years ago
8

The y-intercept of the line whose equation is 3x + 2y = 7

Mathematics
1 answer:
DochEvi [55]3 years ago
4 0
You'll have to get this equation back to the y=mx+b form to find your y intercept. Start by getting y alone.

3x + 2y = 7
-3x        -3x
2y = -3x + 7

Since why has a 2 in front of it, you now need to divide the entire equation by 2 to get y completely alone.

2y = -3x +7
/2
y= -3/2x + 7/2

Normally, you'd want to simplify the fractions but that is the smallest you can get it to be. Your y intercept is 7/2.
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A long distance runner can run 2 miles every 17 minutes. At this rate how ling would it take the runner to run 16 miles.
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Answer:

136 minutes

Step-by-step explanation:

Given :

2 miles ----> takes 17 min

1 mile -----> takes 17/2 min

hence the unit rate is (17/2) min per mile

Thus, 16 miles will take

= (17/2) miles per min x 16 miles

= (17/2) x 16

= 136 minutes

6 0
4 years ago
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Ruth is eating a 50-gram chocolate bar which contains 30% of coco. How many gas of coco are in the chocolate bar?
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Answer:15 grams of cocoa

Step-by-step explanation:Multiply 50 by 0.30 (30%) to get 15

Hope this helps!

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3 years ago
A line with a negative slope is perpendicular to one of the lines shown. What's the slope?
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3 0
3 years ago
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Answer:

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Step-by-step explanation:

6 0
3 years ago
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A survey of 250 adults found that during the last year, 70 traveled by plane but not by train, 70 traveled by train but not by p
11111nata11111 [884]
<h2>Answer:</h2>

<em><u>People who didn't travel by any mode = 45</u></em>

<h2>Step-by-step explanation:</h2>

In the question,

Total number of people included in survey = 250

People who traveled by plane but not by train = 70

i.e.

a + e = 70

People who traveled by train but not by plane = 70

i.e.

c + d = 70

People who traveled by Bus but not by Plane or Train = 20

i.e.

f = 20 ..........(1)

People who traveled by bus and plane both = 45

i.e.

e + g = 45

People who traveled by all three = 20

i.e.

g = 20

People who traveled by Plane or Train = 185

i.e.

a + b + c + d + e + g = 185 ........(2)

So,

e = 45 - g = 45 - 20 = 25

e = 25

Now, on putting in eqn. (2) we get,

a + b + c + d + 25 + 20 = 185

a + b + c + d = 140 .......(3)

Now,

We need to find out,

Number of people travelling with any of these three is,

a + b + c + d + e + f + g

So,

On putting from eqn. (3) and (1), we get,

a + b + c + d + e + f + g = 140 + 25 + 20 + 20 = 205

So,

Number of people who didn't travel by any mode =Total people - Number of people travelling by any three

<em><u>People who didn't travel by any mode = 250 - 205 = 45</u></em>

5 0
3 years ago
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