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
andreyandreev [35.5K]
3 years ago
13

Two cars are traveling on two different routes, one 43 miles longer than the other. The car traveling on the longer route travel

s 2 miles per hour slower than the other car and it takes it 6 hours for the trip. If the car with the shorter route takes 5 hours for its trip, find the length of each route
Mathematics
2 answers:
Anestetic [448]3 years ago
4 0

Answer:

x1 = 275 miles (shorter)

x2 = 318 miles (longer)

Step-by-step explanation:

Let

x1 = be the shorter route

v1 = speed of the car in the shorter route

t1 = time it took to cover shorter route

x2 = the longer route

v2 = speed of the car in the longer route

t2 = time it took to cover longer route


x1 + 43 = x2   (1)

v2 = v1 -2   (2)


v2 = x2/t2 = x2/6

v1 = x1/t1 = x1/5


This means that

v2 = v1 -2   =>

x2/6 = x1/5 -2

The system of equations results

a.   x1 -x2 = -43

b.  x1/5 - x2/6 = 2

Solving this system of equations, we find that

x1 = 275 miles

x2 = 318 miles


cricket20 [7]3 years ago
3 0

Answer:

D1 = 275 miles

D2 = 318 miles

Step-by-step explanation:

D=R*T

D1 = be the shorter route

R1 = speed of the car in the shorter route

T1 = time it took to cover shorter route

D2 = the longer route

R2 = speed of the car in the longer route

T2 = time it took to cover longer route

D1 + 43 = D2   (1)

R2 = R1 -2   (2)

R2 = D2/T2 = x2/6

R1 = x1/T1 = x1/5

This means that

R2 = R1 -2   =>

D2/6 = D1/5 -2

The system of equations results

a.   D1 -D2 = -43

b.  D1/5 - D2/6 = 2

Solving this system of equations, we find that

D1 = 275 miles

D2 = 318 miles

You might be interested in
3. A group of workers is harvesting berries at a constant rate. An equation that represents the number of baskets of berries the
grin007 [14]

In y = mx + b form, the slope can be found in the m position and the y intercept can be found in the b position.



y = mx + b


y = 2x + 15


slope(m) = 2 and y int (b) = 15



The initial amount is the y intercept, which is 15. The rate of change (the slope) is 2


example :  


baskets picked in 1 hr :


y = 2(1) + 15


y = 2 + 15


y = 17



baskets  picked in 2 hrs :


y = 2(2) + 15


y = 4 + 15


y = 19



so the slope ( rate of change) is basically saying for every hr of picking, you pick 2 baskets...so your picking 2 baskets per hr.


The y intercept (15) is telling us that they already had 15 baskets to start with.

6 0
3 years ago
Simplify -2/3 squared 63x^3
OverLord2011 [107]

the answer is

- 2x \sqrt{7x}

3 0
3 years ago
A car rental agency advertised renting a car for $24.95 per day and $0.32 per mile. If Kevin rents this car for 2 days, how many
kkurt [141]

Answer:

fhiurgbnrb

Step-by-step explanation:

5

3 0
3 years ago
Four girls helped Mr.Day plant garden for their help hr gave the girls $24 to share equally later Mrs day gave each girl $2 for
katrin [286]

Answer:$8

Step-by-step explanation: there is 4 girls and $24 they split it equally so you would do 24/4 and that gives you 6. Then it says Mrs. Day gave each girl $2 so then you add 6+2 and then you get 8.

3 0
3 years ago
Read 2 more answers
three bags of packing peanuts are used to fill 2 boxes how many bags of packing peanuts does each box use between which two whol
fredd [130]
No it does not, it does not lie.

3 0
3 years ago
Read 2 more answers
Other questions:
  • If f(x)=|x|+9 and g(x)=-6, which describes the value of (f+g)(x)
    7·2 answers
  • Please help asap 15 pts
    5·1 answer
  • Will mark as brainiest
    11·2 answers
  • Can anyone help me please I’ll mark u as brainliest
    9·1 answer
  • On a regional map, the scale shows that 2 cm on the map = 10 actual miles. The actual distance from Forest Hills to Plainville i
    11·1 answer
  • Determine which equations below have x = 15 as a solution Circle all that apply. Explain the method you used to derive your answ
    5·1 answer
  • The Johnson family want to start a college fund for their daughter Gabriella. They put $63, 000 in to an account that grows at a
    15·1 answer
  • Find the area of the figure
    14·1 answer
  • PLEASE ANSWER WILL MARK BRAINLIEST!!!!!!!!!
    12·1 answer
  • Circle P is centered at the origin. Which of the following statements can be used to
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!