Answer: the rate of the passenger train is 100 mph.
Step-by-step explanation:
Let x represent the rate of the passenger train.
The rate of the freight train was 10 miles per hour slower than the rate of the passenger train. It means that the rate of the freight train is (x - 10) mph
The passenger train traveled 100 miles. It means that the time it took travel 100 miles is
100/x
In the same amount of time, it took a freight train to travel 90 miles. It means that the time it took travel 90 miles is
90/(x - 10)
Since the time is the same, then
100/x = 90/(x - 10)
Cross multiplying, it becomes
100(x - 10) = 90x
100x - 1000 = 90x
100x - 90x = 1000
10x = 1000
x = 100 mph
The rate of change basically refers to the slope of the line. In this case the slope is -1.5
We calculate the rise/run which results in -1.5
Answer:
44%
Step-by-step explanation:
185/420 = 0.4405
0.4405 * 100 = 44.05%
Answer:
23
Step-by-step explanation:
if the angles are equal you can find x
9x-22 =6x-7; subtract 6x and add 22 to both sides
9x-6x = 22-7; combine like terms
3x = 15; divide both sides by 3
x= 5
angle ABD = 9*5-22 = 23°
Answer:
26.13
Step-by-step explanation:
to find the area of a circle, it's pi*r squared:
pi*3squared=9pi
it's a semi-circle so you divide it by two=4.5pi
they are telling us to use 3.14 instead of pi, so it would be:
4.5*3.14=14.13
now we find the area of the triangle. And we use the formula, (height*base)/2:
6*4/2=12
now we add the sums together, which is:
12+14.13=26.13