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
Over [174]
2 years ago
8

Ray has found that his new car gets 31 miles per gallon on the highwayand 26 miles per gallon in the city. He recently drove 285

miles on 10gallons of gasoline. How many miles did he drive on the highway? Howmany miles did he drive in the city
Mathematics
1 answer:
Mkey [24]2 years ago
8 0

Answer:

Highway = 155\ miles

City = 130\ miles

Step-by-step explanation:

Given

Highway = 31mi/gallon

City = 26mi/gallon

Total\ Miles = 285

Total\ Gallons = 10

Required

Determine the number of miles driven on the highway and on the city

Represent the gallons used on highway with h and on city with c.

So, we have:

c + h = 10 ---- gallons used

and

31h + 26c = 285 --- distance travelled

In the first equation, make c the subject

c = 10 - h

Substitute 10 - h for c in the second equation

31h + 26c = 285

31h + 26(10 - h) = 285

Open bracket

31h + 260 - 26h = 285

Collect like terms

31h - 26h = 285 - 260

5h = 25

Make h the subject

h = \frac{25}{5}

h = 5

Substitute 5 for h in c = 10 - h

c = 10 - 5

c = 5

If on the highway, he travels 31 miles per gallon, then his distance on the highway is:

Highway = 31 * 5

Highway = 155\ miles

If in the highway, he travels 26 miles per gallon, then his distance on the highway is:

City = 26 * 5

City = 130\ miles

You might be interested in
Average speed is calculated by dividing total distance with the time it takes to complete it. True False
Aliun [14]

Answer:True

Step-by-step explanation:

Average speed refers to the total distance covered in a specific time . it also a scalar quantity (has magnitude but no direction)

Average speed=distance / time

-Speed is in kilometers/hours or meter/seconds

-distance is in kilometers or meters

-time is in hours or seconds

4 0
3 years ago
A square pyramid with a side length of 6 inches has volume of 102 cubic inches. Find the height of the square pyramid.
-BARSIC- [3]

Answer:

the height of a square pyramid is 139.3 cm

7 0
2 years ago
Plzzz hellllpppppppp again lol
melomori [17]

Answer: D

Step-by-step explanation:

7 0
3 years ago
find the sum ofthe angle measure in each regular polygon. Then find the measure of each angle. Show work please I'm so bad at th
Tems11 [23]
For every side you just add 90 to your equation. so #4 would be 360-125-125-55=(55)
6 0
3 years ago
Caroline is going to invest $5,500 and leave it in an account for 10 years. Assuming
Damm [24]

Answer:

6.1

Step-by-step explanation:

I just know

4 0
3 years ago
Other questions:
  • There are 230 calories in a 48 g packet of M\&amp; M's. How many calories are<br> in a 72 g bag?
    9·2 answers
  • PLEASE ANSWER ASAP!!!
    5·1 answer
  • PLEASE HELP ME WITH THIS THX!!!!!<br>I REALLY NEED HELP WITH THIS!
    8·2 answers
  • Which equation can pair with 3x + 4y = 8 to create a consistent and independent system?
    12·1 answer
  • Which property of equality would you use in the first step of solving this equation 2x-6=12
    14·2 answers
  • Please help with this question!<br><br><br>​
    5·1 answer
  • Number square adding up to middle number<br>​
    8·1 answer
  • Hurry ASAP!!!!!! I really need help the first person to answer gets marked as brainliest
    13·1 answer
  • The blueprints of a new barn have the scale of 2/5 inch = 8 feet.
    6·2 answers
  • Which choice represents the expression below as a single exponential
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!