We are given that the shorter piece is x
From your description, the longer piece is 2x + 2
The total length is
x + 2x + 2 = 14
ie
3x + 2 = 14
3x = 12
x = 4
So the length of the shorter piece is 4 ft
Therefore the length of the longer piece must be
(14 - 4) ft = 10 ft
Answer:20%
Step-by-step explanation:so we start with x as the year before. then we get 2x from 100%. this year it would be 2x times 150% which is equal to 3x added to the year before. That would be 5x. 5x compared to x people would think is 500% but it is switched the other way to 20%.
Answer:
x=2.142137
Step-by-step explanation:
Solve Exponent.
12x=205
log(12x)=log(205)(Take log of both sides)
x*(log(12))=log(205)
x=
log(205)
log(12)
x=2.142137
So first we want to find how far away they were after one hour.
Assuming they were going at a steady rate:
Since:
320 miles = distance traveled in 2 hours
We can divide both sides by 2 to get:
160 miles = distance traveled in 1 hour.
So we now know that the trains were 160 miles apart after 1 hour.
So we can assign the eastbound train a variable for its speed right now, or just x. And then the westbound train would be x + 18.
So, since the rate is in miles per hour, and they traveled 160 miles in one hour, we can say:
x + x + 18 = 160 miles
Then just solve.
2x + 18 = 160
-18 -18
2x = 142
/2 /2
x = 71
Since x equals the rate of the eastbound train, and we're looking for the westbound train, just add 18 to 71 because the westbound train was going 18 mph faster than the eastbound train.
18 + 71 = 89
So the rate of the westbound train is 89 mph.
Answer:
z>55
Step-by-step explanation:
