Answer:
y = 4x...
Step-by-step explanation:
1) 18
2) 4
3) 60
4) 18
5) 6
6) 4
7) 9
8) 4
9) 4
10) $35
11) 8
12) 9
13) 56
14) 10000
15) 78
16) $50
17) 10
18) 1,2,3,4,6,12
19) 1,2
20) 1000
21) 8
22) 5
23) 12
24) 366
25) 35
Answer:
d=rt In this problem we are looking for the distance, but we will have to go about it indirectly. If she's traveling the same exact road going and returning, then the distance traveled both ways is exactly the same. Since d = rt, and d is the same, by the substitution property, if and , then , and . So we need to rt for the trip going, rt for the trip returning and set them equal to each other and solve for t. Going is a rate of 24, and the time is t (since we don't know t), and returning is a rate of 30, and the time is 13 1/3-t. (If the whole trip takes 13 1/3 hours, and t is the time going, then the time returning is the difference between the total time and the going time. That concept is one that baffles most algebra students!). So our r1t1 is 24t, and our r2t2 is 30(13 1/3 - t). Set them equal to each other and that will look like this: That fraction of 40/3 is 13 1/3 made into an improper fraction. Distributing that we will have and 54t = 400. That means that t = 7.407. We have time, and that's great, but we need distance! Go back to one of your equations for distance and sub in t and solve for d. d = 24t, and d = 24(7.407), so d = 177.768 miles.
Answer:
P = 24.135 pounds per square inch
Step-by-step explanation:
The air pressure in the tire should be 
pounds per square inch. This pressure is in the form of a mixed fraction. It is required to convert this pressure into a decimal form. We can convert it as follows :
In decimal form, the value of pressure in the tire on the digital pressure gauge is 24.135 pounds per square inch.
given,
f(x)=(1/2)x-3
g(x)=2x+6
Now,
f(4)=(1/2)×4-3
=2-3=-1
g(4)=2×4+6=14
Then,
f(g(4))=f(14)=(1/2)×14-3=7-3=4
g(f(4))=g(-1)=2×(-1)+6=-2+6=4
