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).
18 / 44 = 9 / 22
There are 44 nuts in the bag, and 18 of them are peanuts. If you simplify the fraction, you get 9/22 chance of getting a peanut.
Answer:
x=135
Step-by-step explanation:
We know that sin(270) = -1/2
So 2x = 270
x = 135
The factored version of the above statement would be 5(x + 4)
In order to find this, you need to find the greatest common factor of the two coefficients. First, list the factors of each.
Factors of 5: 1, 5
Factors of 20: 1, 2, 4, 5, 10, 20
Since the highest that exists in both lists is 5, we can divide both terms by 5 and pull it out of the parenthesis like this:
5(w + 4)
Which is your final answer
Answer:
-50
Step-by-step explanation:
42+=x-2x-8
42=-x-8
(add 8 to both sides)
50=-x
(divide by negative 1)
-50=x