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:
100
Step-by-step explanation:
4 x (2 + 3)
for this equation u have to use PEMDAS so u have to solve the parenthesis first which is 5 then exponets which is
which is 25 and 24 x 4 gives you 100
hope this helps, if im wrong sorry
What is the full question? This is just a statement.
Answer:
there are 3 answers
Step-by-step explanation:
the original is 23 1/2
Now he can do 23
or he can do 22
Answer:
x = 20
Step-by-step explanation:
angle 2 and 3 are congruent, becaus they are alternate interior angles. So, 3x-10 = x+30, 2x = 40, x= 20.