Let the slower train's velocity be x-21
Let the faster train's velocity be x
We know that the approach speed is the sum of both speeds, so x+x -21= 2x-21.
The approach rate is given by Distance/time = 471/3 = 157mpH
x+x-21=157
2x=157+21
2x=178
x=89mph
The slower train is travelling 89-21 = 68mph
The faster train is travelling 89mph.
Answer:
63.8 miles
Step-by-step explanation:
If the train travels 4.4 miles in 4 minutes, then you have to divide 4.4/4 to find the miles the train travels per minute.
4.4/4 = 1.1
So, since the train travels 1.1 miles per minute, and we want to know how fast it travels in 58 minutes, we have to multiply 1.1 by 58. Since 1.1 is a decimal number, we have to multiply both sides by 10 to get 11x580.
11x580 = 5800+ 580 = 6380
Since we multiplied both numbers by 10, we have to divide 6380 by 100.
6380/100 = 63.8
So, the train travels 63.8 miles in 58 minutes.
You can express the edge lengths in terms of "cubes" or you divide the total volume by the volume of a cube. It works either way.
Edge lengths are
.. 80 cubes by 8 cutes by 13 cubes
so total volume is
.. (80 * 8 * 13) = 8320 cubes
In cubic inches, the volume is
.. (20 in)*(2 in)*(3 1/4 in) = 130 in^3.
The volume of a 1/4-in cube is (1/4 in)^3 = 1/64 in^3.
Then the number of cubes that will fit in the prism is
.. (130 in^3)/(1/64 in^3) = 8320 . . . . cubes
8320 cubes are needed to fill the rectangular prism.
The line of the equation perpendicular to y=5 and cuts through (-5,-7) will be given by
m(x-x1)=y-y1
where m=slope.
from y=0x+5, the slope of the perpendicular line m=0,
thus the equation will be:
0(x--5)=y--7
0=y+7
y=-7
The equation is y=-7
Answer:
A : debit to Service Charge Expense of $18.
Step-by-step explanation:
First, one should calculate the value, in dollars of the credit card service fee
Fee = 2% x $900 = $18.
Since this fee is classified as "money coming out" of the account, the entry to a record of this transaction should include a debit to Service Charge Expense of $18.
The correct answer is alternative A.
*The whole purchase amount ($900) should be credited and the service expense should be debited, unlike alternative C, which merges both entries into one.
