Answer:
117mph
Step-by-step explanation:
Given that
Total number of stations= 3
Total average time of journey of train = 65
total stop time at three stations = 3×2 =6 min
Total distance between stops = 115 miles
as we can see
Total time train was travelling = 65- 6 =59 min
so, average speed of train can be calculated as:
Average Speed = 
Average Speed = 
To convert this speed into miles per hour (mph) multiply the above speed by 60
Average speed = 60×1.95 =117 mph
So the average speed of train is 117mph.
Answer: option A is the correct answer.
Step-by-step explanation:
The cost of oranges in a grocery store is directly proportional to the number of oranges purchased. Jerri paid $2.52 for 6 oranges.
If p represents the cost, in dollars,and n represents the number of oranges purchased, then introducing a proportionality constant, k, the equation becomes
p = kn
2.52 = k × 6
k = 2.52/6 = 0.42
Therefore, the equation representing the relationship is
p = 0.42n
There are two ways to do this but the way I prefer is to make one of the equations in terms of one variable and then 'plug this in' to the second equation. I will demonstrate
Look at equation 1,
this can quite easily be manipulated to show
.
Then because there is a y in the second equation (and both equations are simultaneous) we can 'plug in' our new equation where y is in the second one
which can then be solved for x since there is only one variable
and then with our x solution we can work out our y solution by using the equation we manipulated
.
So the solution to these equations is x=-2 when y=6
She is paying $0.6 for one pound of dried food. Hope it help!
