Answer:
The passenger train traveled at a speed of 25 miles/hour
Step-by-step explanation:
In this question, we are asked to calculate the rate at which a particular passenger train is traveling.
We use the information in the question to answer as follows;
Firstly, we identify that they traveled at the same time but their distances are different. This means that their speed must be different also.
Mathematically, we know that time can be calculated as distance/ time.
Let us say the speed at which the passenger train traveled is x miles per hour. This means that the speed of the freight train which was 5 miles per hour slower would be (x-5) miles per hour.
We know their times are equal;
Hence;
100/x = 80/(x-5)
We cross multiply
100(x-5) = 80x
100x -500 = 80x
100x-80x = 500
20x = 500
x = 500/20
x = 25 miles per hour
D) Function 2, because Jack spends $8 each week and Tom spends $7 each week
Desmos graphing calculator helps, look it up online.(:
Answer:
2nd friend heading west
Step-by-step explanation:
This is actually pretty easy to explain.
You and a friend are near a tree and decide to walk away from it. At the beggining you walked 15 yards and your friend too, and then, there's the turn of event. You walked 8 yards toward north east, and your friend 8 yards towards south west.
The key to know which is further from the tree is the angle of turning of both. We need to calculate the component in x from both persons, and then, add it to the previous 15 yards. This way we will know who is further.
Let's begin with the 1°, the one who's heading east:
X = 15 + 8 cos45° = 20.66 yards
Now the friend heading west:
X = 15 + 8 cos40° = 21.13 yards
With these results we can conclude that the 2nd friend is further from the tree.
Hope this helps
Answer:
the coefficient of x is 2/3 which is the constant.