Answer:
50 (mph) = rate of passenger train
Step-by-step explanation:
Let the rate of the freight train = R
Let the rate of the passenger train be R + 30
The freight train has been traveling for 2 + 3 = 5 hours
And the passenger train has been traveling for 3 hours
And they have traveled the same distance when the passenger train overtakes the freight train
So using rate * time = distance we have that
R(5) = (R + 20) 3 simplify
5R = 3R + 60 subtract 3R from both sides
2R = 60 divide both sides by 2
R = 30 (mph) = rate of freight train
R + 20 = 50 (mph) = rate of passenger train
To solve for this, we need to figure out the sum of any two numbers on the dice that will become a pair factor for the listed answers.
What I mean by that is that we need to find the probability between how many two numbers will sum up to the answer.
3 can be 1 + 2, that's it. 3 has a probability of (1).
4 has a sum of 1 + 3, and 2 + 2, that's it. 4 has a probability of (2).
7 has a sum of 1 + 6, 2 + 5, and 3 + 4. 7 has a probability of (3).
11 has a sum of 5 + 6, that's it. 11 has a probability of (1).
The numbers in parenthesis are the probabilities.
7 has the highest number, so 7 has the highest probability.
Your answer is: 7.
I hope this helps!
Answer:
x=36
Step-by-step explanation:
So, lets go over what we know:
16 is equal to 4/9ths of x.
As a equation, this looks like:

We can begin to solve for x by multiplying both sides by the denominator, 9, which gets us:

=

Then we can divide by the coefficent of x, which is 4, to get our answer:

=

This is our answer! Hope this helps! :3
Answer:
V≈184.31
Step-by-step explanation:
V=πr2h
3=π·42·11
3≈184.30677
Answer:
A
Step-by-step explanation:
this is true due to the ratio of a 30-60-90 triangle, which is 1-2-sqrt(3). The 12 corresponds to the sqrt(3), which means that the 1 corresponds to 4sqrt3 and the 2 to 8sqrt3.
:)