amanda drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 7 hours. when amanda drove home, there was no traffic and the trip only took 5 hours. if her average rate was 18 miles per hour faster on the trip home, how far away does amanda live from the mountains?
Answers
The distance between the mountains and her residence is 315 miles.
What is speed?
Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance traveled by time. The unit of speed in miles per hour.
Given that Amanda drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 7 hours. when Amanda drove home, there was no traffic and the trip only took 5 hours. if her average rate was 18 miles per hour faster on the trip home.
The distance will be calculated as,
Distance = S x 7
The other distance is,
Distance = 5 ( S + 18 )
7S = 5S + 90
S = 45 miles
Distance = 45 x 7
Distance = 315 miles
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Answers
Normally, I would pass right by this question, because it is so complicated
and there are so many numbers in it. But I've allowed myself to become
seduced by the bounty of a full 5 points waiting at the end of the rainbow,
and I decided to rush in where more reasonable people would rightly fear
to tread.
The answer is a number, that represents "after how many hours". So we
need to know how many hours AFTER WHAT. The question is not very
clear on when the beginning of time is, so I need to decide. I'm going to
say that the time when the bus leaves is the beginning of time. And I'm
going to call ' H ' the number of hours AFTER the bus leaves.
-- The bus covers 50 miles every hour. So 'H' hours after the bus leaves,
the bus is 50H miles away from the city, in some direction.
-- The car leaves 2 hours later. So 'H' hours after the bus leaves, the car
has only been traveling for (H-2) hours.
-- The car covers 70 miles every hour. So 'H' hours after the bus leaves,
the car is (70)x(H-2) miles away from the city, in the OTHER direction.
-- Since the bus and the car are moving in opposite directions, the distance
between the bus and the car is the SUM of the distances each one covers.
'H' hours after the bus leaves, they are (50H) plus (70)(H-2) miles apart.
What we need to figure out is: When is that distance 800 miles ?
The distance between them at 'H' hours after the bus leaves is
(50H) plus (70)(H-2) miles
Eliminate the first parentheses: 50H + (70)(H-2)
Eliminate the rest of the parentheses: 50H + 70H - 140
Combine the terms with 'H' in them: 120H - 140
So here's the equation: 120H - 140 = 800
Add 140 to each side: 120H = 940
Divide each side by 120 : H = 7.8333 hours
= 7 and 5/6 hours
= 7 hours and 50 minutes
after the bus leaves.
Check:
Assume that H = 7 hrs 50 minutes (7 and 5/6 hours)
The bus has covered (50 x 7-5/6) = 391 and 2/3 miles.
The car has been traveling for only 5 and 5/6 hours
The car has covered (70) x (5-5/6) = 408 and 1/3 miles
How far apart are they ? (391-2/3) + (408-1/3) = 800 miles ! YAY!
Note: If the book or the homework sheet wants to count the hours
after the CAR leaves, then the answer is 5-5/6 hours, not 7-5/6 .
A. -19/2
B. 361/4
C. 361
D. 361/2
Answers
Answer: The correct option is (b)
Step-by-step explanation: We are given to select the correct value of 'n' such that becomes a perfect square trinomial.
The standard form of a perfect square trinomial is
Now, we can write
So, for the given expression to be perfect trinomial,
Thus, (b) is the correct option.
you get: x^2-19x+361/4=(x-19/2)^2
Answers
To find the number of females in the class, we can start by calculating the number of males.
Given that 30% of the class are males, we can calculate it as follows:
Number of males = 30% of total number of people
= 30% of 30
= (30/100) * 30
= 9
Since we know that the total number of people in the class is 30, we can find the number of females by subtracting the number of males from the total:
Number of females = Total number of people - Number of males
= 30 - 9
= 21
Therefore, there are 21 females in the class.
Answers
Answers
When you substitute 0 for the exponent x, the expression simplifies to a times 1, which is just a. This is because any number to the 0 power equals 1. Since the initial value is the value of the function for an input of 0, the initial value for any function of this form will always be the value of a.
Answer:Sample Response: When you substitute 0 for the exponent x, the expression simplifies to a times 1, which is just a. This is because any number to the 0 power equals 1. Since the initial value is the value of the function for an input of 0, the initial value for any function of this form will always be the value of a.
Step-by-step explanation: