Answer:
I'm going to paint you a picture in words of what this looks like on paper. We have a train leaving from a point on your paper heading straight west. We have another train leaving from the same point on your paper heading straight east. This is the "opposite directions" that your problem gives you.
Now let's make a table:
distance = rate * time
Train 1
Train 2
We will fill in this table from the info in the problem then refer back to our drawing. It says that one train is traveling 12 mph faster than the other train. We don't know how fast "the other train" is going, so let's call that rate r. If the first train is travelin 12 mph faster, that rate is r + 12. Let's put that into the table
distance = rate * time
Train 1 r
Train 2 (r + 12)
Then it says "after 2 hours", so the time for both trains is 2 hours:
distance = rate * time
Train 1 r * 2
Train 2 (r + 12) * 2
Since distance = rate * time, the distance (or length of the arrow pointing straight west) for Train 1 is 2r. The distance (or length of the arrow pointing straight east) for Train 2 is 2(r + 12) which is 2r + 24. The distance between them (which is also the length of the whole entire arrow) is 232. Thus:
2r + 2r + 24 = 232 and
4r = 208 so
r = 52
This means that Train 1 is traveling 52 mph and Train 2 is traveling 12 miles per hour faster than that at 64 mph
Step-by-step explanation:
Answer:
8 is 4% of 200, 1% of 200 is 2
Answer:
$1278
Step-by-step explanation:
First you would need to find out how much the annual interest rate is so you would find out what 7% of $900 is which is 63 meaning that there is an annual fee of $63 and since it was for 6 years you would multiply $63 times 6 to get 378 and then to find the total amount you would pay you have to add the interest to what you borrowed so you would do $900 + $378
It is important to do the
calculations very carefully. Otherwise there is nothing complicated about this
problem.
Let us assume the unknown number = x
Then
40x/100 = 55
40x = 55 * 100
40x = 5500
x = 5500/40
= 550/4
= 137.5
So
55 is 40% of 137.50. I hope the procedure is clear to you and in future
you can solve such problems on your own without requiring any help from
outside.This is the simplest way of solving such
problems.
Answer : 12 square root 5
4 square root 45
4 square root 9 times square root 5
4 time 3 square root 5
12 square root 5
