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
shusha [124]
3 years ago
6

For a road trip a car of travelers can take the direct route or the scenic route. The scenic route takes 25% longer than the dir

ect route. The group decides to take the direct route to their destination, and the scenic route on the return trip. If the total travel time to and from the destination is 12 hours, how long did the scenic route take
Mathematics
2 answers:
MariettaO [177]3 years ago
6 0

Answer:

the scenic route take 6h 40m

Step-by-step explanation:

first we have to make an equation that represents the relationship of each route

x = scenic route

y = direct route

x = y + y * 25/100

now we have to make an equation that represents the routes over time

x + y = 12

we replace the x by what is the same in the first equation (y + y * 25/100) in the second equation

x + y = 12

(y + y * 25/100) + y = 12

2 y + 0.25 y = 12

2.25y = 12

y = 12/2.25

if we spend this in minutes multiplying it by 60

y = 12/2.25 * 60 = 320 m = 5h 20m

x + y = 12

x + (5h 20m) = 12h

x = 12h - 5h 20m

x = 6h 40m

klio [65]3 years ago
3 0

Answer: the scenic route would take 6.67 hours.

Step-by-step explanation:

Let t represent the time it takes the team to travel through the direct route.

The scenic route takes 25% longer than the direct route. This means that the time it will take the team to travel through the scenic route is

t + (25/100 × t) = t + 0.25t = 1.25t

If the total travel time to and from the destination is 12 hours, it means that

t + 1.25t = 12

2.25t = 12

t = 12/2.25

t = 5.33 hours

The time it will take to travel the scenic route is

12/2.25 × 1.25 = 6.67 hours

You might be interested in
How do I find the Area of a Cylinder
Mandarinka [93]

Answer:

A=2πrh+2πr^2

Step-by-step explanation:

6 0
3 years ago
If the factors of quadratic function g are (x-7) and (x+3), what are the zeros of function g?
natulia [17]

Step-by-step explanation:

1. you set each expression equal to 0.

x-7=0 and x+3=0

2. Next you need to get the variable by itself so you would add 7 to both sides on the first equation and subtract 3 from both sides for the second one.

3. So your answers would be x=7 and x=-3. Those are the zeros.

8 0
3 years ago
Is the function “ y = 3x “ a direct variation?
LuckyWell [14K]

Given function is a direct variation

Step-by-step explanation:

The direct proportion is defined as the increase in one quantity causes increase in other quantity.

If y is directly proportional to x, then it is given as:

y = kx

where k is the constant of proportionality

Given

y = 3x

Comparing the general form and given equation we see that both are same where k =3

So,

Given function is a direct variation

Keywords: Variation, functions

Learn more about functions at:

  • brainly.com/question/702593
  • brainly.com/question/689294

#LearnwithBrainly

3 0
3 years ago
How can you tell from a table of values if a relationship is proportional?
dusya [7]
C- in the table every ratio y/x is equal so the relationship is proportional
4 0
2 years ago
Write the fraction as a decimal.<br> Round to the nearest thousandth.<br> 7<br> 22
sveticcg [70]

Answer:

0.318

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • Jackson has a previous balance of $767 on a credit card with a 16.5% APR compounded monthly. If he made a payment of $49 this mo
    6·2 answers
  • I need sambady help my to rate the question
    13·1 answer
  • M x 5 = 30<br><br> m = ?<br> A) 3 <br> B) 4 <br> C) 5 <br> D) 6 what the answer
    5·2 answers
  • Find the product of (3.7 × 104) and 2.
    14·1 answer
  • Use an exponent to write each expression 7/9 x 7/9 x 7/9 x 7/9 x 7/9 x 7/9 x 7/9 x 7/9
    11·1 answer
  • a car company reduced the amount of cars produced from 500000 to 420000. what is the percent decrease in the amount of car produ
    12·1 answer
  • After a robot vacuum is fully charged, it can run for 15 minutes. It can vacuum 1/2 square foot every second. Can a fully charge
    14·1 answer
  • Jack needs to rent a car for his vacation. Car rental company A charges customers a one-time rental fee of $100 plus $0.10 for e
    10·2 answers
  • Please help! I'll mark your answer as brainliest if right &lt;3
    8·1 answer
  • 3 poil The ratio of the number of Taylor's CDs to the number of Dave's CDs is 7 to 9. Taylor has 84 CDs. Together how many CD's
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!