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
How can you minimize the risk from your Investments
aliina [53]
By investing in a variety of investment options
4 0
3 years ago
Read 2 more answers
Solve by completing the square<br>3x2 + x - 2 = 0​
DIA [1.3K]

Answer:

x = 2/3 or x = -1

Step-by-step explanation by completing the square:

Solve for x:

3 x^2 + x - 2 = 0

Divide both sides by 3:

x^2 + x/3 - 2/3 = 0

Add 2/3 to both sides:

x^2 + x/3 = 2/3

Add 1/36 to both sides:

x^2 + x/3 + 1/36 = 25/36

Write the left hand side as a square:

(x + 1/6)^2 = 25/36

Take the square root of both sides:

x + 1/6 = 5/6 or x + 1/6 = -5/6

Subtract 1/6 from both sides:

x = 2/3 or x + 1/6 = -5/6

Subtract 1/6 from both sides:

Answer:  x = 2/3 or x = -1

3 0
3 years ago
Which of the following can be a solution to the inequality below?<br> 2x &gt; 6.<br> Pls send help
Citrus2011 [14]

Answer:

x>3

Step-by-step explanation:

you divide both sides by 2 then you get three. The sign remains the same.

3 0
3 years ago
PLZ HELP, 20 pts and brainliest awarded, plz ASAP!!!!!!<br><br> see image below
Amiraneli [1.4K]

Answer:

Option B

Step-by-step explanation:

we have

f(x)=x^{3}-x^{2}-9x+9

we know that

<u>The vertical line test </u>is a visual way to determine if a curve is a function or not. A function can only have one value of y for each unique value of x

In this problem

The given function  passes the vertical line test

therefore

f(x) is a function

<u>The Horizontal Line Test</u>  is a test use to determine if a function is one-to-one

If a horizontal line intersects a function's graph more than once, then the function is not one-to-one.

In this problem

The given function fails the horizontal line test

because for f(x)=0 x=-3, x=-1, x=3

therefore

It is no a one-to-one function

8 0
3 years ago
4. Does the scatterplot have positive correlation, negative correlation, or no correlation?
bija089 [108]

Answer:

Negative Correlation

Step-by-step explanation:

Since the points are approximately lined up in a linear line pointing toward the bottom right, the slope of the best fit line would be a negative value. So the scatter plot shows a negative correlation.

5 0
2 years ago
Other questions:
  • I need help As Soon As possible!
    11·1 answer
  • A teacher can spend as much as $125.00 to take students to a movie, a movie theater charges a $10.00 group fee and $5.50 per tic
    15·2 answers
  • What is an equation for the line that passes through points (6, 9) and (5, 2)?
    14·2 answers
  • Laneka owns a cake shop she is currently preparing cakes for two anniversary parties the first cake has three small tears and on
    11·1 answer
  • Write a real world problem that could be represented by the expression -5×4
    10·2 answers
  • Help PLEASE!!!! I REALLY NEED IT!!!!!
    15·2 answers
  • Find each sum or difference. (x2-3x + 1) - (x3 + 7 – 12x) Oa. 2x3 - 15x + 8 Ob.-12x + 8 c. 9x - 6 d.-9x – 6​
    10·1 answer
  • If there was only one government class, and Wes and Maureen were in that class of 38 students, what would be the probability tha
    11·1 answer
  • What is the quotient when (10n^2 - 37n - 12) is divided by (n - 4)
    13·1 answer
  • Arc cd located on circle a has a central angle of 135 the radius is the circle is 24 centimeters what is the length of arc cd
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!