Dale drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 7 hours. when dale drove home, there was no traffic and the trip only took 5 hours. if his average rate was 18 miles per hour faster on the trip home, how far away does dale live from the mountains? do not do any rounding.
Answer:
Dale live 315 miles from the mountains
Step-by-step explanation:
Let y be the speed of Dale to the mountains
Time taken by Dale to the mountains=7 hrs
Therefore distance covered by dale to the mountain = speed × time = 7y ......eqn 1
Time taken by Dale back home = 5hours
Since it speed increased by 18 miles per hour back home it speed = y+18
So distance traveled home =speed × time = (y+18)5 ...... eqn 2
Since distance cover is same in both the eqn 1 and eqn 2.
Eqn 1 = eqn 2
7y = (y+18)5
7y = 5y + 90
7y - 5y = 90 (collection like terms)
2y = 90
Y = 45
Substitute for y in eqn 1 to get distance away from mountain
= 7y eqn 1
= 7×45
= 315 miles.
∴ Dale leave 315 miles from the mountains
Answer:
Step-by-step explanation:
George is g and Mike is m
Substitute g in the second equation
- 2m - 5 + m = 31
- 3m - 5 = 31
- 3m = 36
- m = 12
Finding g
- g = 2*12 - 5 = 24 - 5 = 19
Write an equation like this...
4 - 6x = 40
x = -6
Check:
4 - (6 x -6)
4 - (-36)
* A "-" symbol and "-" symbol equal a "+" sign
So...
4 + 36 = 40
Hope this helps! :3
Answer: Yes, this relation is function.
Step-by-step explanation:
A relation is called function if each input has unique output.
It is given that, Juan has blood type A, Lilly has blood type AB, and Aaron has blood type O.
Juan is related to blood type A.
Lilly is related to blood type AB.
Aaron is related to blood type O.
Here, each input has unique output because here each person has unique blood group.
Therefore, this relation is a function.
