The Quik-Clean Car Wash charges $15 for a car wash plus $2.50 per gallon for unleaded gasoline. The Mighty Clean Car Wash charges $10 for a carwash plus $2.75 per gallon for unleaded gasoline. Josh is comparing the cost of having his car wash plus filling up his tank with gas at each business. How many gallons of gas would he need to purchase for the cost to be the same at each car wash?

Answers

Answer 1

Answer:

Josh would need to purchase 20 gallons of gas for the cost to be the same at each car wash

Step-by-step explanation:

We need to model both car wash's costs. The Quik-Clean Car Wash charges $15 for a car wash plus $2.50 per gallon for unleaded gasoline. If x is the number of gallons of unleaded gasoline. the total charges of this store are:

C1=15+2.5*x

The Mighty Clean Car Wash charges $10 for a carwash plus $2.75 per gallon for unleaded gasoline. Following the same procedure, their costs are:

C2=10+2.75*x

Josh wants to know how many gallons of gas will make both businesses charge the same. Equating both equations:

15+2.5*x=10+2.75*x

Simplifying:

-0.25x=-5

Solving:

x=-5/(-0.25)=20

Josh would need to purchase 20 gallons of gas for the cost to be the same at each car wash


Related Questions

What are the coefficients in the following expression? -6y + 4- 7-8

please help!! this is for an assessment

Answers

Answer:

11/6 I think

Step-by-step explanation:

Welp that's all that came when I get the answer

PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE HELP MEEEEE

Answers

Answer:

B

Step-by-step explanation:

$30 X x number of lbs + 2 for shopping when x pounds are greater than 0 and less than 10 and 24 dollars X x number of pounds + 6 for shipping when x lbs are greater than or equal to 10.

What type of equipment did police use in 1918

Answers

Answer:

Police officers, whether plain-clothed or uniformed, carry a variety of equipment with them on service calls. Police in uniform carry much more equipment than those in plain clothes, and members of special operations teams, such as SWAT and crowd-control units, carry even more, sometimes including full body armour complete with helmet, leg pads, and shield.

Step-by-step explanation:

hope it helped!

p.s it would be cool it you would give me brainliest

It took researchers three weeks to analyze a large amount of data using a supercomputer. How many minutes did it take them to analyze the data?
1,440 minutes
4,320 minutes
10,080 minutes
30,240 minutes It took researchers three weeks to analyze a large amount of data using a supercomputer. How many minutes did it take them to analyze the data?
1,440 minutes
4,320 minutes
10,080 minutes
30,240 minutes

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

need helppppp!!!! I'll brainlist quickkkk​

Answers

Answer:

7a is 24

bis 18

c is -15

Step-by-step explanation:

7a. 2(3)+3(6)

6+18=

24

7b. 6(6)-(3)(6)

36-18=

18

7c. 3(3)-4(6)

9-24=

-15

Please help me with this question.

Answers

Answer:

Just draw a line through the dots.

Step-by-step explanation:

multiply the cost times the number of items.

Hope i helped

Lois builds a cage for her hamster. The cage is a right rectangular prism. The height of the cage is 2 feet. The length and width are both x feet more than the height. Which expression represents the volume, in cubic feet, of the cage?

A. x^2 +6
B.2x^2+4x+4
C.x^2+4x+6
D.2x^2+8x+8

Answers

Answer:

[tex]V=2x^2+8x+8[/tex]

Step-by-step explanation:

The volume of a right rectangular prism is given by :

[tex]V=lbh[/tex]

Where,

l is length, bis breadth and h is height

ATQ,

Height of the cage is 2feet

The length and width are both x feet more than the height.

l = b = (x+2)

So,

[tex]V=(x+2)(x+2)2\\\\V=(x+2)^22\\\\V=(x^2+4+4x)2\\\\V=2x^2+8+8x[/tex]

So, the correct option is (D).

Answer:

Your Ans is

Option D.....

Which is a greater y-intercept (0,-1) or (0,-2)

Answers

Answer:

(0,-1)

Step-by-step explanation:

-1 is less than -2 so -1 have a greater value since it is closer to the origin (0,0)

Need help plz and thnks

Answers

Answer: y=13

hope this helps!

Xavier has a savings account with a balance of $320 and deposits(adds money
into account) $12 per month. Dayuan has a savings account with a balance of
$266 and deposits $30 per month.

write the inequality to determine the number of months xavier's account balance will greater than dayuans account balance

Answers

Answer:

320 + 12h > 266 + 30h

Step-by-step explanation:

Xavier total = 320 + 12h

Dayuans total = 266 + 30h

Where h = number of months

The inequality to determine the number of months xavier's account balance will be greater than dayuans account balance is

320 + 12h > 266 + 30h

A passenger rode the subway 2 blocks west and then 10 blocks south. If all the blocks are the same length, what is the value of the slope of the line from where the passenger began to where he finished?

Answers

Answer: 5

Step-by-step explanation:10/2 = 5

Answer:

the answer is: 5

Step-by-step explanation:

did the quiz

like terms and unlike terms

Answers

Answer:

In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match.

Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power. For example, 8xyz2 and −5xyz2 are like terms because they have the same variables and power while 3abc and 3ghi are unlike terms because they have different variables. Since the coefficient doesn't affect likeness, all

Answer:

unlike terms

Step-by-step explanation:

are more than two hope this helps I just answer quickly

What is the prime factorization of 150?

2 × 3 × 5
22 × 3 × 5
2 × 32 × 5
2 × 3 × 52

Answers

Answer:

2x3x5x5

Step-by-step explanation:

150=2,75,5,15,3,5

2,3,5,5

Answer:

2 x 3 x 5 x 5

Step-by-step explanation:

x/7+x-2/14=1/7
Please answer x as a fraction!

Answers

Answer:

x = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x}{7}[/tex] + x - [tex]\frac{2}{14}[/tex] = [tex]\frac{1}{7}[/tex]

Multiply through by 14 to clear the fractions

2x + 14x - 2 = 2 ( add 2 to both sides )

16x = 4 ( divide both sides by 16 )

x = [tex]\frac{4}{16}[/tex] = [tex]\frac{1}{4}[/tex]

Eugene borrows $250 at a 4% annual interest rate. If he does not make any payments, how much simple interest will he owe in 18 months?

Answers

Answer: He will owe 258.47

What is the value of x?

Answers

180°-45°=135°

135=2x-5

135+5=2x

140/2=x

x=70

Diana usually drives at average rate of 30 mph. If she drives for 2 hours with the speed that is 10 mph more than usual, what distance will she cover?

Answers

Answer:  80 miles

Step-by-step explanation:

10mph + 30mph = 40 mph

Distance = Speed × time

D = 40m/h × 2 h

D = 80 m

Can someone help me please

Answers

Answer:

c

Step-by-step explanation:

well you can see its not negative since your subtractiing negtivees witch is just adding a possivite and 64 is unreasonable

Answer:

A

Step-by-step explanation:

Bruh

You have decided to start your own business selling friendship bracelets. It will
cost $36 to get all of the supplies and you will sell each bracelet for $3. Write an
equation that represents your profit.

Answers

I think it would be 3x>36

Answer: 12 people

Step-by-step explanation:

$36 as a start for suplies it will cost you so 3/36 is 12 so it will take 12 people to get our profit back

books cost $10 each and book covers cost four dollars each. I spent a total of $40 on books and book covers. which of the following combinations of books and book covers could I possibly have purchased for $40

Answers

Options pls give then I will solve



Without options




Hcf of 10 and 4 then u willl get

New York City is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 3 vans and 14 buses with 509 students. High School B rented and filled 12 vans and 10 buses with 472 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.​

Answers

Answer:

Step-by-step explanation:

Let's say :

v = number students in van, b = number of students in bus

From the info provided in the question:

High school A takes 3 vans and 14 buses for 509 students

We can write this as:

3v + 14b = 509

You can re-write this as :

3v = 509 - 14b

We also know High School B takes 12 vans and 10 buses for 472 students:

12v + 10b = 472

Since we already know that 3v = 509 - 14b , substitute this equation into the above formula and you get:

12v + 10b = 472

4(509 - 14b) + 10b = 472

2036 - 56b + 10b = 472

2036 - 46b = 472

2036 - 472 = 46b

1564 = 46b

Divide both sides by 46 to find "b".

b = 1564/ 46 =  34

Therefore the number of students that fit in each bus is 34.

So since we know b = 34, substitute b into the equation at the top:

3v = 509 - 14b

3v = 509 - 14(34)

3v = 509 - 476 = 33

Divide both sides by 3 to find "v".

v = 33/3 = 11.

Therefore the number of students in each van is 11.

A line passes through the point (–2, 7) and has a slope of –5. A coordinate plane. What is the value of a if the point (a, 2) is also on the line?

Answers

Y = mx + c

7= (-5)(-2)+ c

7= 10 +c

7-10=c

-3=c

Equation of the line: y = -5x-3

Sub in (a, 2)

2= - 5(a)-3

2+3= -5a

5= - 5a

1= - a

A = -1

Answer:

-7

Step-by-step explanation:

What is the area, in square units, of a triangle with vertices at (-1,-1), (3,-1), (2,2) PLEASE HELP

Answers

Step-by-step explanation:

A=½bh

A=½(4•3)

A=½(12)

A=6 units sq

Write an equation for the description.
The length of a rectangle is twice its width. The perimeter of the rectangle is 121 feet.
Plzzz help

Answers

Answer:

[tex]121=6w[/tex]

Step-by-step explanation:

Formula for perimeter of a rectangle:

[tex]P=2l+2w[/tex]

[tex]w[/tex] = width

[tex]l[/tex] = length

Since the length is twice the width,

[tex]l=2w[/tex].

So, plugging these values into the formula, as well as the given perimeter of 121 feet, we get,

[tex]121 = 2(2w)+2w[/tex]

And after some simplification, we are left with,

[tex]121 = 6w[/tex]

Write the equation of the parabola in vertex form.
vertex (0,3), point (1,-4)
f(x) =

Answers

Answer:

           f(x) = 7x² + 3

Step-by-step explanation:

vertex form of an equation of the parabola:  

f(x) = a(x - p)² + q

vertex (0, 3)  ⇒  p = 0,  q = 3

so:

   f(x) = a(x - 0)² + 3

    f(x) = ax² + 3

the parabola goes through point (1, -4)  ⇒  x=1,  f(x)=-4

   -4 = a(1)² + 3

   -4 = a + 3

    a = 7

Therefore the equation of the parabola in vertex form:

f(x) = 7x² + 3

Hey can i have some help real quick?
The question and the answer choices are in the picture!
Ty, and have a good night!

Answers

Answer:

the first one

A phone call cost 7 for 2 minutes ___ per minute

Answers

Answer:

3.5

Step-by-step explanation:

7÷2 hope this helps

Which of the following expressions is a simplified form?​

Answers

it’s a
because a is simplified
I think it’s A because it was simplified

BRAINLIEST ANSWER (please do it right)
Producing a musical cost $88,000 plus $5,900 per performance. One sold-out performance earns $7,500 in revenue. If every performance sells out, how many performances are needed to break even? ( solving and writing Mulit-step equation question)

Answers

Answer:

55 performances

Step-by-step explanation:

The first equation will be the total cost. The total cost has $88,000 already and then $5,900 is added with each performance. So the equation would be 88,000+5,900x because x will represent the number of performances.

y = 88,000 + 5,900x

The next equation will be how much the performances earn. If they earn $7,500 with each performance then the equation will be 7,500x, with x representing the number of performances

y = 7,500x

Now set the equations equal to each other and solve for x

7,500x = 88,000 + 5,900x

1,600x = 88,000

x = 55

They need to have 55 performances for the cost and the revenue to break even.

Pleaseeeee helppppppp

Answers

Answer:

1.) y=3x

2.) y= -2/3 x + 1

3.)y = -2/3 x - 4

4.) y = 4

5.) y = x + 5

6.) y = 2x

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