A family has two cars. During one particular week, the first car consumed 15 gallons of gas. The two cars Drove a combined total of 1475 miles and the sum of their fuel efficiency was 65 miles per gallon. What were the fuel efficiency of each of the cars that week?

Answers

Answer 1

Answer:

Car 1 : 40 miles per gallon

Car 2: 25 miles per gallon

Step-by-step explanation:

family has two cars. During one particular week, the first car consumed 15 gallons of gas. The second car consumed 25 gallons of gas. The two cars Drove a combined total of 1475 miles and the sum of their fuel efficiency was 65 miles per gallon. What were the fuel efficiency of each of the cars that week

Given that :

Fuel efficiency , car 1 = x

Fuel efficiency , car 2 = y

x + y = 65 - - (1)

15x + 35y = 1475 - - - (2)

x = 65 - y

15(65-y) + 35y

975 - 15y + 35y = 1475

20y = 14875 - 975

20y = 500

y = 25

Put y = 25 in (1)

x + y = 65

x + 25 = 65

x = 65 - 25

x = 40


Related Questions

In a unit circle, ø=180°. What is the terminal point?

A. (1,0)
B. (0,-1)
C. (0,1)
D. (-1,0)

Answers

I think its B? Im not sure

Please help me with this question

Answers

Answer:

1/9

Step-by-step explanation:

6 feet = 6*12 = 72

Scale factor = 8/ 72 = 1/9

Answer:

1/9

Step-by-step explanation:

6ft = 72 inches

8/72 = 1/9

Which expressions are equivalent to 3p+15

Answers

Answer:

Left most and the one u selected

Step-by-step explanation:

7p-4p+15 = 3p+15

3(p+5) = 3p + 3 * 5 = 3p + 15

2p-p+15 = p+15

3(p+15) = 3p+45

if correct, pls mark 5 star, thanks, and brainliest!

1 and 2.

7p - 4p + 15

3p + 15

3 (p + 5)

(3 • p) + (3 • 5)

3p + 15

I hope this helps let me know if you need any more help :)

Choose all of the points where the graphs of the line y = x - 3 and the circle (x - 1)2 + y2 = 4 intersect.
A. (0, -3)
B. (0,3)
C. (1, -2)
2 D. (1.0)
E. (3,0)

Answers

Answer: (1, -2) and (3, 0)

Step-by-step explanation: Trust me, I graphed it and these are the point where the lines intersect.

helppp plzzzzzzzzzzz​

Answers

the answer would be 88 because it goes up by 20

The same number goes into each box to make two ratios below

4/_ ‘ _/36

Which number goes into both boxes?

A) 6
B)9
C)12
D)18

Answers

Answer:

C) 12

Step-by-step explanation:

What you are trying to find is when 4/_ = _/36. The only number that will set these two ratios equal is 12. This is because 4/12 simplifies to 1/3, and 12/36 simplifies 1/3, meaning the two ratios are equivalent.

Answer:

c

Step-by-step explanation: I think sorry if wrong but have a good rest of your days

An electronics company finds that 5 out of 1,535 capacitors produced are damaged. How many damaged items can they expect if the company produces 23,025 capacitors?

Answers

Answer:

the damaged items expected in the case when the 23,025 capacitors produced is 75

Step-by-step explanation:

The computation of the damaged items expected in the case when the 23,025 capacitors produced is shown below:

= (5 × 23,025 capacitors) ÷ (1,535 capacitors)

= 75

Hence, the damaged items expected in the case when the 23,025 capacitors produced is 75

WILL MAKE AS A BRAINILIST
A piggy bank contains 4 quarters, 18 dimes, 10 nickels, and 8 pennies.A coin is chosen at random,not replaced, then another is chosen. Find each probability.

Answers

32/195 is the correct answer

Triangle RST is translated 6 units to the left and 4 units up to create triangle R’S’T’

Which rule best describes this transformation?
A) (x,y) —> (6x, -4y)
B) (x,y) —> (-6x, 4y)
C) (x,y) —> (x + 6, y - 4)
D) (x,y) —> (x - 6, y + 4)

Answers

Answer:

B (x,y) —> (-6x,4y)

Step-by-step explanation:

6 is moving left which is negative

4 is moving up which is positive

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP

The area, A, in square feet, of the base of a rectangular storage bin in a warehouse is given by the function A(x) = -2x2+ 36x, where x is the width, in feet, of the storage bin.


Part B: The process of completing the square can be used to calculate the width, in feet, of the storage bin that gives a maximum area.

A(x) = -2x2 + 36x

A(x)= -2(x – 9)2 + ___

What is the missing value in the work shown?

A.
162

B.
-81

C.
-162

D.
81

Answers

Answer:162

Step-by-step explanation:

The missing value is 162,

Option A is the correct answer.

What is a rectangle?

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

To complete the square for the function.

A(x) = -2x² + 36x,

We need to first factor out the coefficient of x², which is -2:

So,

A(x) = -2(x² - 18x)

Next,

We need to add and subtract a term that will allow us to factor the expression inside the parentheses into a perfect square.

To do this,

We need to take half of the coefficient of x, which is -18/2 = -9, square it, and then add and subtract the result.

So,

A(x) = -2(x² - 18x + 81 - 81)

Now,

We can rewrite the expression inside the parentheses as a perfect square.

A(x) = -2((x - 9)² - 81)

Finally, we can distribute the -2 and simplify.

A(x) = -2(x - 9)² + 162

So,

The missing value is 162,

Thus,

The missing value is 162,

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ2

the points (80,20) and (120,30) form a proportional relationship. What is the slope of the line that passes though these points? BRAINLIST IF RIGHT!!!!!

Answers

Answer:

1/4

Step-by-step explanation:

gradient formula= Δy/Δx

80-120/20-30=1/4

How far Sam is away from the donut shop in the following graph given below

Answers

Answer:

WHAT GRALPH  

Step-by-step explanation:

Answer:

The answer is 2

Step-by-step explanation:

The point that sam is at and the point the donut shop is at is only 2 points away from eachother, the answer is 2

Simplify: 6.25(2x + 4y) - (4x + 9)

Answers

Answer: 8.5x+25y−9

Step-by-step explanation:

Find the mzV.
y
(3x - 11)
(x - 8)°
U
(x +8°W
\(2x +70°
Z
7
Y

Answers

Answer:

c) 193

Step-by-step explanation:

Sum of all the angles of the pentagon = 540

2x + 7 + x + x + 8 + 3x - 11 + x - 8 = 540

2x +x + x + 3x + x  + 7 + 8 - 11 - 8 = 540

                              8x - 4             = 540

                                             8x   = 540 + 4

                                            8x = 544

                                              x = 544/8

                                             x = 68°

∠V = 3x - 11

     = 3*68 - 11

    = 204 - 11

    = 193°

Answer:

y----d=b

Step-by-step explanation:

please help, would be greatful :)

Answers

Answer:

x ≈ 22.0°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Identify Variables

Angle θ =

Opposite Leg = 3

Hypotenuse = 8

Step 2: Find

Substitute [Sine]:                    sinx° = 3/8Inverse trig:                             x° = sin⁻¹(3/8)Evaluate:                                 x = 22.0243°Round:                                     x ≈ 22.0°

Midterm Part 1
A high school principal has to choose an academic
team of four people. She decided to choose them from
an AP Statistics class of 19 people.
How many ways can the principal form a team?
A) 5,232 B) 3,876 C) 4,253 D) 8,121 E) 7,821

Answers

Answer:

Step-by-step explanation: ok

Which of the following shows the solution and graph to the inequality
2x + 1 ≤ 15?

Answers

Answer:

C or D

Step-by-step explanation:

I'm taking this same thing, not sure if it's c or d. The thing that I'm puzzled about is what the difference between the white dot and the black dot is.

Option D shows the solid dot along with  [tex]x\leq 7[/tex] so our answer is

Option D.

The given inequality is  2x + 1  [tex]\leq[/tex]  15.

We have to see which of the given option shows the solution and graph to this inequality.

What are a solid dot and an open dot?

A solid dot indicated on a number line graph shows that the given number is also a possible solution, whereas an open dot indicates that the given number cannot be a solution.

We see that in the given inequality, 2x + 1 must be less than or equal to 15.

And the maximum value we can take is 7 because,

2(7) + 1

14 + 1

15

So we can take 7 and any values less than 7 i.e  [tex]x\leq 7[/tex]  to satisfy the inequality  2x + 1  [tex]\leq[/tex]  15.

We see that Option D gives us  [tex]x\leq 7[/tex] along with the solid dot.

Hence Option D is our answer.

Learn more about inequality problems here:

https://brainly.com/question/17675534

#SPJ5

Anita is making
bracelets. For each
bracelet she needs VA of a
foot of string. If she has 12
feet of string, how many
bracelets can she make

Answers

Answer:

Step-by-step explanation:

I think 3

The total number [y] of bracelets she can make will be -

y = 12/x.

What is equation modelling? What is a mathematical equation and expression?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is that Anita is making bracelets. She has 12 feet of string.

Assume that the length of each bracelet be [x] ft. Then, the total number [y] of bracelets she can make will be -

y = 12/x

Therefore, the total number [y] of bracelets she can make will be -

y = 12/x.

To solve more questions on functions, expressions and equation modelling, visit the link below -

brainly.com/question/17421223

#SPJ2

Danny charges $48 for 4 hours of swimming lessons, Martin charges $28 for 2 hours of swimming lessons. Who offers a better deal?

Answers

Answer:

Danny.

Explanation:

$48=4hrs

1hrs= $12

$28=2hrs

1 hrs = $14

therefore, danny offers a better deal.

Pls answer B. C. and D.

Answers

B. Plug 2 in for “x” in “y=3x-2”. If you don’t get -1, the. You know that point is not a solution. In this case, we get 4, which is not equal to -1.

C. Again, you plug 2 in for “x”. Here the answer is in fact -1, so we know that (2,-1) is a solution.

D. You just graph the two lines. As we can see, (2,-1) only falls on one of the equations. This means that (2,-1) is only a solution of “y=-2x+3”.

What is the value of the expression when a= -5 and c = -4

Answers

Answer:

I need Help on this one too.

Step-by-step explanation:

What are the answers to these questions

Answers

Answer:

1. v = 12

2. x =7

Step-by-step explanation:

Step-by-step explanation:

1) Multiply both sides by 5 to take away the fraction . You'll be left with v + 8 =20

Group the constants: v = 20 -8

v = 12

HELPPPP PLSSSSSSSSSSS
4 cups of flour there is 3 cups of sugar, what if there is 1 cup how many cups of sugar would you have! PLsss hurry its due

Answers

Answer:

one cup flour is 3/4 sugar cups

you got it!!

A total of 937 people attended the play.
Admission was $2.00 for adults and $0.75
for students. The total ticket sales
amounted to $1,109. How many students
and adults attended the school play?
First complete the equations below, where A
stands for Adults and S stands for Students.
2A + 0.75S = 1,109; A + S = 937
Now use the equations to find the number of
students and adults.
Students = [?]; Adults = []

Answers

Answer:

612 students and 325 adults

Step-by-step explanation:

I'll use substitution for this set of equations. I'll start with 2a + 0.75s = 1,109.

2a + 0.75s = 1,109

Subtract 0.75s from both sides.

2a = -0.75s + 1109

Divide both sides by 2.

a = 1/2(-3/4s + 1109)

Make 1/2(-3/4s + 1109) into a single fraction

a = -3/8s + 1109/2

Substitute -3/8s + 1109/2 for a in the other equation (a + s = 937).

-3/8s + 1109/2 + s = 937

Add -3/8s to s.

5/8s + 1109/2 = 937

Subtract 1109/2 from both sides.

5/8s = 765/2

Multiply both sides by 8/5, the reciprocal of 5/8.

s = 612

Now head back to the original equation, and substitute s for 612.

a = -3/8 * 612 + 1109/2

Multiply -3/8 by 612.

a = (-459 + 1109)/2

Add 1109 to -459 and divide by 2.

a = 650/2

a = 325

The system is solved. There are 612 students and 325 adults.

The Student Government at Arlington High School decided to conduct a survey to determine where to go on
a senior field trip. They asked students the following question: "Would you rather go to a sports event or to
an IMAX movie?" At which of the following locations would they most likely get a fair sample?
(1) The gym, after a game
(3) A randomly chosen study hall
(2) The auditorium after a play
(4) At the Nature Club meeting.

Answers

Answer:

the answer is 2, a randomly chosen study hall

Step-by-step explanation:

The gym after a game adds bias towards a sports event

The auditorium after a play is biased toward IMAX

The Nature Club is also possibly biased toward Imax

Find the value of x if 7,21,x and 35 are in proportion

Answers

try 28?

It is the number missing from this sequence.

Simplify xz^3 x 4x^4z^5

Answers

Answer:

4x⁵z⁸

Step-by-step explanation:

xz³ₓ4x⁴z⁵ =

= 4x¹⁺⁴z³⁺⁵

= 4x⁵z⁸

what expression can be used to determine the cost of the buying and pounds of almonds $4.95 per pound and a half pounds of flour for $0.72 per pound? choose the correct expression for determining the cost please
A: 0.72m + 4.95f
B: 5.67(m=f)
C: 4.95m + 0.72f
D: 4.95m - 0.72f

Answers

I think it is C: 4.95m + 0.72f  although this isn't in my curriculum I think its correct.

What is the product of 7V2 and 6V6 in simplest radical form?

Answers

Answer:

It is already in simplest radical form

Step-by-step explanation:

A box contains 5 chocolate chip cookies, 4 sugar and 6 oatmeal raisin. What is the probability of picking a chocolate chip cookie?

plssss helpppp

Answers

Answer:

5/10

Step-by-step explanation:

if you add all the non- chocolate chip cookies than you have 10 other cookies.

since there are 5 chocolate chip cookies than the probability would be

5/10 or 1/2

The probability of picking a chocolate chip cookie is 1/3.

Given that, a box contains 5 chocolate chip cookies, 4 sugar and 6 oatmeal raisin.

What is the probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

Here,

Total number of outcomes =15

Number of favorable outcomes = 5

Probability of an event = 5/15

= 1/3

Therefore, the probability of picking a chocolate chip cookie is 1/3.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ2

Other Questions
Read the passageNow, Mrs. Sparsit was not a poetical woman; but she took an idea in the nature of an allegorical fancy, into her head. Much watchingLouisa, and much consequent observation of her impenetrable demeanour, which keenly whetted and sharpened Mrs. Sparsit's edge, mustgiven her as it were a lift, in the way of inspiration. She erected in her mind a mighty Staircase, with a dark pit of shame and ruin at the bottodown those stairs, from day to day and hour to hour, she saw Louisa coming.(from Hard Times by Charles Dickens)Based on the passage, which point is Mrs. Sparsit most likely trying to make with the staircase allegory?1. that life is a constant upward struggle2. that Louisa is headed for a life of tragedy3. that Louisa's poetry is destined to fail4. that movement up or down comes in small steps Why does Justice Harlan disagree with the ruling? Check all that apply OHe thinks that the courts should be given more power to uphold the Constitntion. OHe believes that it is unconstitutional to make one race inferior to another OHe thinks that state laws that limit citizens liberties go against the Constitution O He points out that the institution of slavery is no longer constitutional O He believes that the Constitution is meant to protect the civil rights of citizens of all races. O He thinks that the Constitution is too inconsistent in its laws on civil liberties tell me at least 35 metallic element plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help 20 point Eleanor and Max used two rectangular pieces of plywood, placed end-to-end, to make a long rectangular stage for the school play. One board was 6 feet long, and the other was 6 1/2 feet long. The two pieces of plywood had equal widths. The total area of the stage was 59 3/8 square feet. What was the width of the plywood? 1. Which US Region had the largest population?NortheastSoutheastMidwestNorthwest How did John Marshall, Charles Cotesworth Pinckney, and Elbridge Gerry advance freedom for themselves and others during the XYZ Affair? Hey so I am doing this essay for school and I need to know yalls opinion.So Should teens be allowed to play dangerous sports. Please provide reasons why you think what you think.Thank you, alex Which of the following statements best describes the American revolution influence on the French Revolution The measurements of 11 fish caught during an angling competition are recorded.A scatter diagram is then drawn using the information.750One of the points is an outlier.a) Write down its coordinates.700650Weight (9)(1)b) What type of correlation is shown byall the other points?600X550c) A 12th fish is caught during the session.It has a length of 40 cm.Estimate its weight (in g).5003035505540 45Length (cm)Total marks: 3 A 800kg car produces a motive force of 10,000N. As it accelerates from rest it experiences a frictional resistance of 2,000N. What is the net force acting on the car? please help me! its algebra 1 Which sentence is written correctly? *We red a shel silverstein poem my sneaky cousin in English class.We red a Shel Silverstein poem, My Sneaky Cousin in English class.We read a Shel Silverstein poem, "My Sneaky Cousin," in English class.We read a Shel Silverstein poem "My Sneaky Cousin" in English class. 20,000 is ten times as much as 11 - 2x = 45what are the steps to this are blonde hairs natural??? 4x = -12.What is x? What is the solution to the equation 3x (-6) = -12? if the gear ratio is 3:5 does it increase torque or speed? in a oligarchy government you must be rich to have any connection to the government.a. True or false ?