Answer:
The speed of the first train is 45 mph and the speed of the second train is 75 mph
Step-by-step explanation:
Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).
The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles
The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles
Since the second train overtakes the first at 6:00 pm, hence:
3x + 90 = 5x
2x = 90
x = 45
Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).
Answer: 30×2n=C
Step-by-step explanation:
30$ is flat fee so no variable
2$ dollars per person so "n" (the number of people) is times 2
= the final cost (C)
Answer:
161.63 tons
Step-by-step explanation:
Cement used per mile = total cement used / total miles
646.5 tons / 4 = 161.625 tons
161.63 tons to the nearest hundredth
the hundredth is the second number after the decimal place. To convert to the nearest hundredth, look at the number after the hundredth (the thousandth). If the number is greater or equal to 5, add 1 to the hundredth figure. If this is not the case, add zero
the thousandth term is 5, so 1 would be added to 2
Answer:
I want to say your answer is (B) just not 100% sure. It also could probably be option (C).
Answer:
(x+1) is a factor with remainder 0.
Step-by-step explanation:
We divide (x+1) into the polynomial
through long division or synthetic. We choose long division and look for what will multiply with (x+1) to make the polynomial
.

We subtract this from the original
.
This leaves
. We repeat the step above.
.
We subtract this from
. We repeat the step above.
.
We subtract this from
. We repeat the step above.
.
We subtract this from
. There is no remainder. This means (x+1) is a factor.