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
Goryan [66]
3 years ago
11

PLEASE HELP!!!!!!! A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a

fuel efficiency of 20 miles per gallon of gas. During one particular week, the two cars went a combined total of 1450 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of the two cars that week?
Mathematics
1 answer:
Marianna [84]3 years ago
4 0

Answer:

The answer to your question is car 1 = 30 gal and car 1 = 20 gal

Step-by-step explanation:

car 1 = a

car 2 = b

Efficiency of car 1 = 35 mi/gal

Efficiency for car 2 = 20 mi/gal

Total distance = 1450

Total gas consumption = 50 gal

Equations

                          35a + 20b = 1450            ------- (I)

                             a   +     b =  50               ------- (II)

Solve by elimination

Multiply equation II by -35

                          35a  + 20b  = 1450

                         -35a  - 35b   = -1750

Simplify

                            0    - 15b    =  -300

Solve for b

                                        b =  -300/-15

Result

                                        b = 20

Substitute b in equation II to find a

                               a +  20  = 50

Solve for a

                               a  = 50 -20

Result

                               a  = 30

You might be interested in
Where are the asymptotes of f(x) = tan(4x − π) from x = 0 to x = π/ 2 ?
Aneli [31]
That answer was (B)................
3 0
3 years ago
I have a question on a homework problem. Select the function that represents an arithmetic sequence.
Fynjy0 [20]
7 ig because I mean if you take a look at the problem
4 0
3 years ago
Which expression below is equivalent to the expression -3/4(-12x-20Y)
Brut [27]
The answer would be a
6 0
3 years ago
You decide to make this recipe a week later, but this time you find out that you
NISA [10]

Answer: 1.5 divided by 2= 0.75

7 0
3 years ago
Read 2 more answers
Which of the following best describes how to find the circumcenter of a triangle?
guapka [62]

Answer: B

Step-by-step explanation: :)

3 0
3 years ago
Other questions:
  • Find the distance between m (-2,3) and n (8,2)
    8·2 answers
  • Marissa rode her bike 2 3/10 miles from her house to the park and back. How far did she ride
    8·2 answers
  • *Urgent*<br><br> Please help!!
    5·1 answer
  • Please help me find the area of the triangle above
    5·1 answer
  • Not sure how to work this out can anyone help?
    13·2 answers
  • Walt was paying $36 a month for his cell phone service. His new cell phone service costs him $28 a month.
    13·1 answer
  • I hope u can help meeeee!!!​
    7·1 answer
  • What is 5x – 8x + 2 + 5=
    13·2 answers
  • Solve the equation kx+9=7 for x
    9·2 answers
  • a box contains 30 pencils. 37 student are each given 3 pencils. how many boxes of pencilsare required?​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!