Answer: it will take them 4 hours to be 640 kilometers apart.
Step-by-step explanation:
Let t represent the time it will take for both trains to be 640 kilometers apart. It means that the total distance that both trains will covered in t hours is 640 kilometers.
Distance = speed × time
A train leaves Little Rock Arkansas and travels north at 75 kilometers per hour. Distance covered after t hours would be 75 × t = 75t
Another train leaves at the same time and travels south at 85 kilometers per hour. Distance covered after t hours would be 85 × t = 85t
Since the total distance covered is 640 kilometers, then
75t + 85t = 640
160t = 649
t = 640/160
t = 4 hours
Answer:
As 
Step-by-step explanation:
Given:
From the graph, we can conclude that:
The function has vertical asymptotes at 
The function has horizontal asymptote at 
Vertical asymptotes are those values of 'x' for which the functions tends towards infinity. Horizontal asymptote is the value of the function as the 'x' value tends to infinity.
Now, as 
means the right hand limit of the function at 
From the graph, the right hand limit is the right side of the asymptote of the function at 
. The right side shows that the function is tending towards negative infinity.
Therefore, As
Answer:The system of equations to describe the situation are
c + y = 8
6c + 3y = 36
Step-by-step explanation:
Let c represent the number of shirts.
Let y represent the number of caps.
Eight friends started a business. They will wear either a baseball cap or a shirt imprinted with their logo while working. This means that
c + y = 8 - - - - - - - - - - -1
They want to spend exactly $36 on the shirts and caps. Shirts cost $6 each and caps cost $3 each. This means that
6c + 3y = 36 - - - - - - - - - - 2
