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).
There are 24 half miles in 12 miles.
5x + y = -13.....multiply by -3
4x + 3y = -17
-----------------
-15x - 3y = 39 (result of multiplying by -3)
4x + 3y = -17
-----------------add
-11x = 22
x = -22/11
x = -2
5x + y = -13
5(-2) + y = -13
-10 + y = -13
y = -13 + 10
y = -3
solution (-2,-3)
Answer:
-3
Step-by-step explanation:
First you subtract the first equation from the second one and you get:
3x + 3y = 3
x + y = 1
y = 1 - x
Then you use it on the first equation
888x + 889 (1 - x) = 890
888x + 889 - 889x = 890
-x = 1
x = -1
y = 1 - x
y = 1 - (-1) = 2
Now that you have those two numbers, we have to subtract the value of x from y:
x - y
-1 - 2 = -3
Hope this helps bro
Answer:
1/9
Step-by-step explanation:
(-3)^0 = 1
(-3)^2 = 9
so, 1/9
