Answer:
C. 31 kilometers north of its starting location
Step-by-step explanation:
<em>Please see attached a rough sketch of the situation for your reference</em>.
Step one:
Displacement North= 57km
Displacement South= 26km
Required
The final displacement
The current position is attained by subtracting 26km from 57km
=57-26= 31km
Therefore the current position is
C. 31 kilometers north of its starting location
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:
35 degrees is the third angle's value.
The best option seems to be
A) <span>
efficiency and practicality.</span>
The Ethical behavior is conducting ones self in a way that is common with a certain set of values whether personal or institutional.
Answer:
The number of eggs in the basket is 56
Step-by-step explanation:
Given as :
Let The number of eggs in the basket = 3x + 5x
When Loza counts 3's , there are 2 eggs left over
I.e , 3 ( x - 2 )
And When Loza counts 5's , there are 4 eggs left over
I.e 5 ( x - 4 )
∴ 3 x - 6 = 5 x - 20
Or, 20 - 6 = 5 x - 3 x
Or, 14 = 2 x
∴ x = 7
So, the number of eggs = 3 × 7 + 5 × 7
= 21 + 35 = 56
Hence The number of eggs in the basket is 56 Answer
