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:
B= -40
Step-by-step explanation:
So a right triangle has to = 180
So we write the given, which 124+99
we are trying to get 180 so lets subtract that by the equation, 180-124+99
180-(124+99)
12+99=223
180-223
=-43
But in your case it has to be rounded to the nearest tenth
So the answer is -40
Answer:
a) 0.54 = 54% probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both.
b) 0.46 = 46% probability that a randomly selected person will not feel guilty for either of these reasons
Step-by-step explanation:
We use Venn's Equations for probabilities.
I am going to say that:
P(A) is the probability that a randomly selected person will feel guilty about wasting food.
P(B) is the probability that a randomly selected person will feel guilty about leaving lights on when not in a room.
0.12 probability that a randomly selected person will feel guilty for both of these reasons.
This means that 
0.27 probability that a randomly selected person will feel guilty about leaving lights on when not in a room.
This means that 
0.39 probability that a randomly selected person will feel guilty about wasting food
This means that 
a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?
0.54 = 54% probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both.
b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?
0.46 = 46% probability that a randomly selected person will not feel guilty for either of these reasons
Answer:
Height=12 Units
Step-by-step explanation:
Given a parallelogram with base b, and a perpendicular height, h. The area of the parallelogram is derived using the formula:
Area of a parallelogram=Base X Perpendicular Height
Given an area of 72 Units Squared.
Since I am not certain of the length of the base given:
If b=6
Area=bh
72=6h
Dividing both sides by 6
h=12 Units.
Height=12 Units
You can use the given formula to solve for the height,h of the parallelogram given any base b.
Answer:
the answer is C the third one 25,500
Step-by-step explanation:
