Answer:


Each hot dog costs $4.50
You can but 4 hot dogs with $18
Answer:
As the product of the slop of both lines is -1.
Therefore, the given equations are perpendicular.
Step-by-step explanation:
Given the equations


The slope-intercept form of the equation is

where m is the slope and b is the y-intercept.
Writing both equations in the slope-intercept form


So by comparing with the slope-intercept form we can observe that
slope of equation = 3
i.e.

also



So by comparing with the slope-intercept form we can observe that
the slope of equation = -1/3
i.e.

as
The slope of the perpendicular line is basically the negative reciprocal of the slope of the line.
so
The slope
is the negative reciprocal of the slope 
Also, the product of two perpendicular lines is -1.
i.e.

VERIFICATION:
It is clear that the product of the slop of both lines is -1.


Therefore, the given equations are perpendicular.
Answer:
The passenger train traveled at a speed of 25 miles/hour
Step-by-step explanation:
In this question, we are asked to calculate the rate at which a particular passenger train is traveling.
We use the information in the question to answer as follows;
Firstly, we identify that they traveled at the same time but their distances are different. This means that their speed must be different also.
Mathematically, we know that time can be calculated as distance/ time.
Let us say the speed at which the passenger train traveled is x miles per hour. This means that the speed of the freight train which was 5 miles per hour slower would be (x-5) miles per hour.
We know their times are equal;
Hence;
100/x = 80/(x-5)
We cross multiply
100(x-5) = 80x
100x -500 = 80x
100x-80x = 500
20x = 500
x = 500/20
x = 25 miles per hour
The answer is B because e is 2.17