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Bumek [7]
3 years ago
12

"How much does it cost for a ticket to ride the subway from Station A to Station B?"

Mathematics
1 answer:
aliina [53]3 years ago
4 0
It’s not a statistical question
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Can someone help me work out question 3?
Nezavi [6.7K]
To find the point of intersection, we want to set the two equations equal to each other to find where they meet. The problem is, we have two variables, which means we can't just set them equal to each other as is. We need to manipulate the equations so that we can remove one of the variables at a time to solve for the other one.

First, let's move y to one side so we can solve for x.
2x-3y=9
2x-9=3y
y=(2x-9)/3

5x+4y=11
4y=11-5x
y=(11-5x)/4

Now that they both equal the same thing (y), we can set them equal to each other and solve for x. This will give us the x value for the point of intersection of the lines.
(11-5x)/4=(2x-9)/3
3(11-5x)=4(2x-9)
33-15x=8x-36
33+36=8x+15x
69=23x
x=69/23
x=3

Now, we can do the opposite, and solve for x to find the y coordinate.
2x-3y=9
2x=3y+9
x=(3y+9)/2

5x+4y=11
5x=11-4y
x=(11-4y)/5

(3y+9)/2=(11-4y)/5
5(3y+9)=2(11-4y)
15y+45=22-8y
15y+8y=22-45
23y= -23
y= -1

The coordinates for the point of intersection of the two lines is (3, -1).
5 0
4 years ago
Two buses leave a station at the same time and travel in opposite directions. One bus travels12m/hrslower than the other. If the
Alex Ar [27]

distance = speed * time

the first bus speed = x

second bus = x - 12

the sum of distance = 765 miles

first distance = 6x

second distance = 6 (x -12)

6x + 6(x-12) = 765

x + x -12 = 127.5

2x = 139.5

x = 69.75 mi/h which is the faster bus

the second bus speed = 57.75 mi/h

6 0
2 years ago
The volume of a pyramid that fits exactly inside a cube is 49 cubic feet. What is the volume of the cube?
EastWind [94]
<span>The volume of a pyramid is 1/3 the volume of the cube mentioned in the question since it fits exactly inside it. So multiply 49*3 = 147 cubic feet...

Hope this helped... :)
</span>
8 0
4 years ago
Read 2 more answers
What is the equation of a line that passes through the points (0,5) and (4,8)?
nikdorinn [45]
A linear function has the form y=mx+b
if you insert the point (0,5) in this you receive:
5=m*0+b
5=b
(remember b is the distance to the x axis at x=0, so you can read it directly of)

To get m you insert (4,8) and the previous b:
8=m*4+5
3=4m
3/4=m

your line is: y=3/4x+5

(also this question is a duplicate of #3469085 by you :) )

7 0
3 years ago
Any math experts out there, I'm soooo confused if you know plsss help ASAP.
o-na [289]

Good morning,

Step-by-step explanation:

look at the photo below for the answer.

:)

6 0
4 years ago
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