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
If w is 5 v =5.I hope you get it right good luck hope you pass !
Answer:
0,5
Step-by-step explanation:
u just need to shorted it
Answer:
p = 2(l + w)
Step-by-step explanation:
A rectangle has two lengths and two widths. The formula for the perimeter of a rectangle is obtained by adding all the four sides of the rectangle.
p = l + l + w + w = 2l + 2w
p = 2l + 2w
2 is a common factor of both terms on the right hand side
Factorizing 2l + 2w
p = 2(l + w)
X² - 8x = 9
x² - 8x - 9 = 0
x² + x - 9x - 9 = 0
x(x + 1) -9(x + 1) = 0
(x+1)(x-9) = 0
x = -1 or 9
In short, Your Answers would be -1 & 9
Hope this helps!