1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jeka94
3 years ago
14

Suppose a family drives at an average rate of 60 mi/h on their way to visit relatives and then an average rate of 40 mi/h on the

way back. The return trip takes 1h longer than the trip there.
Part A) Let "d" be the distance in miles the family traveled to visit their relatives. How many hours did it take to drive there?

Part B) In terms of "d," how many hours did it take to drive there?

Part C) Write and solve an equation to determine the distance the family drove to see their relatives. What was the average rate for the entire trip?

help please​
Mathematics
2 answers:
erastova [34]3 years ago
6 0

Answer:

Part A) 2 hours

Part B) d/60 hours

Part C) 48 miles/hour

Step-by-step explanation:

hammer [34]3 years ago
5 0

Answer:

Part A) 2 hours

Part B) d/60 hours

Part C) 48 miles/hour

Step-by-step explanation:

Part A) Let "d" be the distance in miles the family traveled to visit their relatives. How many hours did it take to drive there?

we know that

Let

x ----> the time it take on their way to visit relatives in hours

y ---> the time it take on the way back in hours

we know that

The distance of the way to visit is equal to the distance of the way back

The speed multiplied by the time is equal to the distance

so

60x=40y -----> equation A

y=x+1 -----> equation B

substitute equation B in equation A and solve for x

60x=40(x+1)

60x=40x+40

20x=40

x=2 hours

Find the value of y

y=2+1=3 hours

d=60x

The time it take on their way to visit relatives is 2 hours

The time it take on the way back is 3 hours

Part B) In terms of "d," how many hours did it take to drive there?

we have that

The distance is equal to the speed multiplied by the time

d=60x

Solve for x

x=d/60 hours

Part C) Write and solve an equation to determine the distance the family drove to see their relatives. What was the average rate for the entire trip?

To find the average rate for the whole trip we will need the total distance and the total time

The distance of the way to visit is

d=60x

substitute the value of x

d=60(2)=120 miles

so

The total distance is

120(2)=240 miles

we know that the total time is

2 + 3 =5 hours

The average rate for the complete trip is

240/5=48 miles/hour

You might be interested in
Find the measure of angle z in the following figure
Pachacha [2.7K]

Answer:

z=40 degrees

Step-by-step explanation:

a triangle is 180 degrees

<ACB=50 (180-130=50)

50+90=140

180-140=40

8 0
3 years ago
Read 2 more answers
A 52 foot ladder is set against the side of the house so that it reaches up 48 feet .if jevonte grabs the ladder at its base and
Vesnalui [34]

Answer:

Step-by-step explanation:

The way to approach this that makes the most sense to a student would be to find out how far from the house the ladder currently is, then add 3 feet to that and do the problem all over again. This is right triangle stuff...Pythagorean's Theorem in particular. The ladder is the hypotenuse, 52 feet long. The height of the rectangle is the distance the ladder is up the side o the house, 48 feet. We plug those into Pythagorean's Theorem and solve for the distance the ladder is from the house:

52^2=48^2+x^2 and

2704=2304+x^2 and

x^2=400 so

x = 20. Now if we add the 3 feet that the ladder was pulled away from house, the distance from the base of the ladder to the house is 23 feet, the ladder is still 52 feet long, but what's different is the height of the ladder up the side of the house, our new x:

52^2=23^2+x^2 and

2704=529+x^2 and

2175=x^2 so

x = 46.6 feet

6 0
3 years ago
Last year, Nicholas started babysitting to earn extra spending money. Over the summer, he
Thepotemich [5.8K]

Answer:

25%

Step-by-step explanation:

From the boxplot Given, an earning of $25 or less is represented on the boxplot as the lower quartile of the distribution which is the point at the start of the box. The lower quartile value is the percentage value up to 25% that is the first 25% of the distribution.

Hence, the percentage required = 25%

Hence, Nicholas earned $25 or less about 25% of the time.

4 0
3 years ago
There are two jobs you can apply for. the first job pays $22,000 the first year, with raises of $4,000 each year thereafter. the
jasenka [17]
We let the number of years that the two jobs will have the same payment be denoted as t. Equating the wages of these two jobs after t - 1 years will give us an equation of,
                          22,000 + 4000(t -1) = 26,000 + 2000(t - 1)
The value of t from the generated equation is 3. Therefore, after 3 years the jobs will be paying the same wages.
7 0
3 years ago
Read 2 more answers
if some one did 35% of their hw over 7 days if that person reads the same amount of pages each night , how many more days will i
Llana [10]

Answer:

13

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Let n =21. What is the value of n + 10?
    6·2 answers
  • I need help it's timed! Please help.
    14·1 answer
  • 5. If John, travelling at a constant speed on a stretch of highway, covers 25 miles in 30
    14·1 answer
  • What is the solution of the system? Use the elimination method. {4x+2y=182x+3y=15 Enter your answer in the boxes.
    12·2 answers
  • M-8-2=1/2(m-2) please
    13·1 answer
  • If a procedure meets all of the conditions of a binomial distribution except the number of trials is not​ fixed, then the geomet
    13·1 answer
  • Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(1).
    10·1 answer
  • One yard of ribbon is 3.5 dollars. How much should one pay for<br><br><br> 5/8 yards
    5·2 answers
  • 4) What is the measure of angle AXG?
    5·1 answer
  • In a volatile housing market, the overall value of a home can be modeled by V(x) - 325x? - 4600x + 145000, where V represents th
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!