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

Tara has been saving quarters for the past few months. If her piggy bank contains 100 quarters in addition to the $4.83 her mother gives her, how much money does she have?

Answers

Answer:

100 quarters is equal to $25.00

$25.00 plus $4.83 equals $29.38

Answer:

$29.83

Step-by-step explanation:

100 / 4 = 25

25 + 4.83 = 29.83

f(x) = -x2 + 10x - 17 a. Axis of Symmetry: b. Vertex: (Max, Min) c. Domain: d. Range: ​

Answers

Answer:

Below in bold.

Step-by-step explanation:

f(x) = -x^2 + 10x - 17

Convert to vertex form by:

f(x) = -(x^2 - 10x) - 17

= - [(x - 5)^2 - 25] - 17

= -(x - 5)^2 + 25 - 17

=  -(x - 5)^2 + 8,

a. So axis of symmetry is x = 5.

b. Vertex is (5, 8) Max.

c.   Domain is All real x.

d. Range is (-∞, 8].

Carly wants to buy some fish to keep in her room. At a local pet store customers can pay
$12.50 for a fish tank and $0.20 for each fish they purchase.
a. What is the slope or rate of change in the situation described? Explain.

Answers

Answer:

12.50

Step-by-step explanation:

Im not completely sure on this but the answer is 12.50 because it states that the price for a fish tank is $12.50. So im pretty sure that the intercept is that.

The Slope here is $0.20 which represent cost of each fish.

What is Rate of Change?

A rate of change is a rate that describes how one quantity changes in relation to another quantity.

Given that, Carly wants to buy some fish to keep in her room. At a local pet store, customers can pay $12.50 for a fish tank and $0.20 for each fish she purchased,

Let total cost be C, and total number of fish be n

According to question,

C = 12.50 + 0.20n

Hence, the slope 0.20 represents the change in total cost as the number of purchase of fish changes.

For more references on Rate of Change, click;

https://brainly.com/question/12786410

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PLZ HELP ME ASAP! ITS DUE TODAY!! I WILL MARK YOU BRAINLIEST IF YOU ANSWER RIGHT!! What are the new vertices for A, B and C?

Answers

Answer:

A'(1,1) , B'(5,3), C'(2,5)

Explanation:

when you reflect anything over the line y = x, that is the same thing as taking the inverse(you swap the x and y values)

i will give you brainliest for the best answer! <(^-^<) thanks <3














it's not math, it's science :)
answer the best u can

Answers

Answer:

no. 1

B. Describe the presicion of these results

no. 2

a. Describe the accuracy of these results

how to multiply rational expressions?
pls help me...

Answers

Point :

A × B = B × A

Ex)

[tex] \frac{1}{2} \times \frac{3}{4} = \frac{3}{4} \times \frac{1}{2} = \frac{3}{2} \times \frac{1}{4} [/tex]

_________________________________

a )

[tex] \frac{12 {a}^{2} }{25 {b}^{3} } \times \frac{5b}{4 {a}^{4} } = \frac{12 {a}^{2} }{4 {a}^{4} } \times \frac{5b}{25 {b}^{3} } = \\ [/tex]

[tex] \frac{4 {a}^{2} \times 3 }{4 {a}^{2} \times {a}^{2} } \times \frac{5b}{5b \times 5 {b}^{2} } = \\ [/tex]

[tex] \frac{3}{ {a}^{2} } \times \frac{1}{5 {b}^{2} } = \frac{3}{5 {a}^{2} {b}^{2} } \\ [/tex]

_________________________________

b )

[tex] \frac{ {x}^{2} - 2x - 15 }{ {x}^{2} - 9 } \times \frac{ {x}^{2 } - 6x + 9 }{4x - 12} = \\ [/tex]

[tex] \frac{(x - 5)(x + 3)}{(x - 3)(x + 3)} \times \frac{(x - 3)(x - 3) }{4(x - 3)} = \\ [/tex]

[tex] \frac{(x - 5)}{(x - 3)} \times \frac{(x - 3)}{4} = \\ [/tex]

[tex] \frac{(x - 3)(x - 5)}{(x - 3) \: \: \: \times \: \: 4} = \frac{x - 5}{4} \\ [/tex]

_________________________________

And we're done.....♥️♥️♥️♥️♥️

One architect designed 30 houses on Lackey Avenue, which is 60% of all the houses on that avenue. How many total houses are there on Lackey Avenue?

Answers

Answer: 50 houses

Step-by-step explanation: If there was 100 houses the 60 percent would be 60 houses but all they did was cut the number of houses in half to try and trick you.

Lisa says 12 3 = 9 Kay says 12 3 = 4 Who is correct? Why?

Answers

Kay is correct because if you take 3 4s and add them all together you get 12 and if you take 4 3s and add them together you get 12

what equation is equivalent to x + 5 =12

Answers

Answer:

x=7

Step-by-step explanation:

subtract 5 from both sides

5-12= 7

so x=7

X=7 is the correct answer here bro

5x-4y=10
Solve for y plz Help

Answers

y = -5/2 + 5x/4. at least that’s what i got
Ndhsba shskuva hatbeom wtbdjsob twvsko jags iwte kansg 2

What is 108, 200, 000 in scientific notation?

Answers

I believe that it’s 1.082 * 10^8

Jesse is saving the money he earns in his piggybank. He had already earned
$60 from previous work. He charges $15 to mow one lawn. After mowing 4
lawns, how much total money will he have in his piggybank?

Answers

Answer:

Jesse will have $120.

Step-by-step explanation:

First you need to set up your equation. We know Jesse has $60 already and that he charges $15 per lawn. Your equation will look something like this:

15x+60=?

Then you plug in the 4 lawns he did:

15(4)+60=

Then you solve and get 120! :)

PS Parenthesis mean you are multiplying. Same thing as saying

15 x 4 + 60= 120

Order the numbers from least to greatest: 7, 18, 12, -16, -11, 1 *

Answers

Answer:

-16, -11, 1, 8, 12, 18

Answer:

-16,-11,1,7,12,18

Step-by-step explanation:

Negative numbers are smaller the farther away they are from zero. Positive numbers get bigger the farther away from zero they go.

evaluate....
shafheahyfbejik5ewhdsa

Answers

Answer:

Step-by-step explanation:

Option B is the correct answer

Which trigonometric expressions equal Negative one-half? Check all that apply.

cos(120°)
Sine (StartFraction 7 pi Over 6 EndFraction)
sin(–120°)
Cosine (StartFraction 7 pi Over 6 EndFraction)
Cosine (negative StartFraction 10 pi Over 3 EndFraction)

Answers

Answer:

Its A B E

Step-by-step explanation:

Got it on Edge

Need help! Please!!

What is the solution to the following system of equations?


3x+2y=15

4x − 5y=−3


A (0.5, 1)

B (3, 3)

C (1, 5)

D) I don’t know

E (3, 2)

Answers

Answer: B (3,3)

Youre welcome

What is the prime factorization of 135?

3 × 53
33 × 5
32 × 52
3 × 5 × 9

Answers

Answer:

3 x3 x 3 x 5

Step-by-step explanation:

Answer:

135 is a composite number.

135 = 1 x 135, 3 x 45, 5 x 27, or 9 x 15.

Factors of 135: 1, 3, 5, 9, 15, 27, 45, 135.

Prime factorization: 135 = 3 x 3 x 3 x 5, which can also be written 135 = 3³ x 5

Step-by-step explanation:

Is the sequence an= 4 + 2n arithmetic?​

Answers

Answer:

Sorry am not answer that because am desperate for points so am just going to get some points

can someone please figure out the first one, I already got the second one. I need help with the first one.

Thank you :)

Answers

Answer:

∠DBG= 109°

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

DBG=109

Step-by-step explanation:

whats the answer i cant find out please help im failing meth i mean math

Answers

it’s the first one or third one!

19(-16)
helpppppppppppppppp

Answers

the answer to your question is -304

Which list shows the integers in ascending order?
A. 5, 4, -5, -4, 0
B. 0, 4, 5, -4, -5
C. -4, -5, 0, 4, 5
D. -5, -4, 0, 4, 5

Answers

Answer:

D

Step-by-step explanation:

Ascending means they are moving upwards.

Pls help I didn’t get this one

Answers

Answer:

900

Step-by-step explanation:

( n − 2 ) × 180

n=sides

( 7-2)x180= 900

Your answer is 900, np!! Nice day btw :)))

Twenty-seven is smaller than five times a number increased by seven.

Answers

Answer:

4

Step-by-step explanation:

4=x

5x+7 =27

27=27

:(((

4x+8=7.2+5x solve for x​

Answers

Answer:

[tex]\boxed {x = 0.8}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]4x + 8 = 7.2 + 5x[/tex]

-Take [tex]5x[/tex] and subtract it from [tex]4x[/tex]:

[tex]4x + 8 - 5x = 7.2 + 5x - 5x[/tex]

[tex]-x + 8 = 7.2[/tex]

-Subtract [tex]8[/tex] to both sides:

[tex]-x + 8 - 8 = 7.2 - 8[/tex]

[tex]-x = -0.8[/tex]

-Divide both sides by [tex]-1[/tex]:

[tex]\frac{-x}{-1} = \frac{-0.8}{-1}[/tex]

[tex]\boxed {x = 0.8}[/tex]

So, the value of [tex]x[/tex] is [tex]0.8[/tex].

The solution of the given expression is x = 0.8.

We are given that;

The expression 4x+8=7.2+5x

Now,

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

To solve for x, we can use the following steps:

- Subtract 4x from both sides: 4x + 8 = 7.2 + 5x - 4x - 4x

- Simplify: 8 = 7.2 + x

- Subtract 7.2 from both sides: 8 - 7.2 = 7.2 + x - 7.2

- Simplify: 0.8 = x

Therefore, by expression the answer will be x = 0.8.

To know more about an expression follow;

brainly.com/question/19876186

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PLEASE HELP IM BEING TIMED!!

Then DS+ST=DT what is the property?

Options: A. Commen Sense
B. Substitution
C. Segment Addition
D. The Given

Answers

The answer should be C. Segment addition

Answer:

hope you have a good day it is cccccccc

DUE SOON PLZ HELP ME WILL GIVE BRAINLEST
What is the slope of the line that passes through the points (9, -1)(9,−1) and (4, -11) ?(4,−11)?
Write your answer in simplest form.

Answers

Answer:

2=the slope

Step-by-step explanation:

I used my graphing calculator.

PLEASE IF YOU CAN HELP ME!!

Answers

Answer: y=-1/4x+3

Step-by-step explanation:

Answer:   y = (-1/4)x + 3

==================================================

Explanation:

y = mx+b is the general form of slope intercept equations

m is the slope, b is the y intercept

The y intercept is where the graph crosses the y axis. In this case it is at (0,3) so b = 3 is the y intercept

--------------------

The slope can be found through using the slope formula

m = (y2-y1)/(x2-x1)

m = (2-3)/(4-0)

m = -1/4

Or you could note that to go from (0,3) to (4,2) we must go down 1 and over to the right 4.

slope = -1/4 = rise/run

rise = -1 means we go down 1

run = 4 means we move to the right 4

--------------------

Since m = -1/4 and b = 3, we go from y = mx+b to y = (-1/4)x+3

In scientific notation

Answers

The answer is 5 x 10*3

Find the percent decrease. Round to the nearest percent.
From 94°F to 70°F

Answers

Answer:

25%

Step-by-step explanation:

94°F-100%

70°F-x%

x%=70°F*100%/94°F=74.5%~75%

100%-75%=25%

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