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
Factor the trinomial 2x^2+15x+7
Mashutka [201]

Answer:

(2x+1)(x+7)

Step-by-step explanation:

2x2+15x+7

For a polynomial of the form ax2+bx+c

, rewrite the middle term as a sum of two terms whose product is a⋅c=2⋅7=14 and whose sum is b=15

.

Tap for more steps...

2x2+x+14x+7

Factor out the greatest common factor from each group.

Tap for more steps...

x(2x+1)+7(2x+1)

Factor the polynomial by factoring out the greatest common factor, 2x+1

.

(2x+1)(x+7)

3 0
3 years ago
What percentage of $15 is 75 cent​
Aleks04 [339]

Answer: What percentage is 15 out of 75?

20

Percentage Calculator: 15 is what percent of 75? = 20.

5 0
3 years ago
Read 2 more answers
Nit Test
bazaltina [42]

Answer:

The graph will be discrete because there is no such thing as a partial person to sign up and the booth is set up once each day for sign ups.

Step-by-step explanation:

The difference between continuous and discrete graphs and functions is that a discrete function allows the variables to be only certain points in the interval, usually only integers; meanwhile, a continuous function allows the variables to be any points in the interval. Here, both variables are discrete, that is, the number of people is {0, 1, 2, 3, ...}, and days are {Monday, Tuesday, Wednesday, ...}

3 0
3 years ago
Suppose that 2 ≤ f '(x) ≤ 4 for all values of x. What are the minimum and maximum possible values of
Vesna [10]

Answer:

Step-by-step explanation:

By the Mean Value Theorem, there is at least one number, c, in the interval (1,6) such that

f'(c) = [f(6) - f(1)]/ (6 - 1)

So, f(6) - f(1) = 5f'(c).

Since 2 ≤ f'(c) ≤ 4, 10 ≤ 5f'(c) ≤ 20

So, f(6) - f(1) is between 10 and 20.  

5 0
2 years ago
Andre is making paper cranes to decorate for a party. He plans to make one large paper
kotegsom [21]

Answer:

x is the number of small cranes he can make

3x is the amount of time it takes to make all of those small cranes

10 is the amount of time it takes to make just the centerpiece

30 is how much time in total he has to make all of the paper cranes

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • 16% of 150 is what number plz show work
    14·2 answers
  • If h(x) = 5x -7,find the h(14)
    8·1 answer
  • Jenny drew a figure in art class. Does it have rotational symmetry? If yes, what is the angle of rotation.
    13·2 answers
  • What are the coordinates of the vertex of the function f(x) = x2 - 12x + 5?
    8·1 answer
  • I have two coins. One is fair, and has a probability of coming up heads of.5. \text {The second is bent, and has a probability o
    11·1 answer
  • 26 over 99 in lowest terms
    5·1 answer
  • 6. Tori and Terry spend the day at the mall. At the end of the ey, se two added up their
    8·1 answer
  • Which shows another way to write 95?
    15·2 answers
  • The sum of three numbers is 10. The first number minus the second plus the third is 6. The first minus the third is 2 more than
    9·2 answers
  • Please help! I'll give anyone who helps 10 points.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!