A car servicing station is running a special offer. The breakdown of the cost for different services is given below. Membership Fee: $50 (one-time cost) Air Freshener Cost: $4 per car per month Washing Cost: $10 per car per month Tire Replacement Cost: $400 per car Tire Pressure Check Cost: $15 per month The total cost for 12 months of this service for n cars is given by the expression below. Which statement best describes the constant in the expression? A. It is the monthly cost of the air freshener, washing, and tire replacement. B. It is the monthly cost of the membership fee and the tire pressure check. C. It is the total cost of the membership fee and the tire pressure check for 12 months. D. It is the total cost of the air freshener, washing, and tire replacement for 12 months.

Answers

Answer 1

Answer:

It is the total cost of the membership fee and the tire pressure check for 12 months.

Step-by-step explanation:

given data

Membership Fee: $50

Cost: $4 per car per month

Washing Cost: $10 per car per month

Tire Replacement Cost: $400 per car Tire Pressure Check Cost: $15 per month

let the total cost be y

and the number of cars be n'

and the number of months be x

the model for the situation is given as

y=50+4nx+10nx+15

from the expression above the constant term is the total cost of the membership fee and the tire pressure check for 12 months.


Related Questions

I HAVE TO TURN THIS IN 5 MIN!!!
WILL MARK BRAINLIEST!!!
What is the slope of the image below?

Answers

Answer:

x= -2

Step-by-step explanation:

What is the difference between
-30.7 and -8.5?

Answers

Answer:

-22.2

Step-by-step explanation:

-22.2

well, the system told me that i need a 20 words explanqtion so i'. just typing this down to put in more words but how i solved it, is i used a calculator

Match each polynomial to its factored form.
x^2+8x +16
x^3-64
x^2-16

(x-4)(x^2+4x+16)
(x+4)^2
(x-4)(x+4)

Answers

Answer:

x^2+8x +16 >> (x+4)^2

x^3-64 >> (x-4)(x^2+4x+16)

x^2-16 >> (x-4)(x+4)

Step-by-step explanation:

Each polynomial is matched to its factored form. These are the correct answers. I did this on EDGE!

Polynomial is an expression that consists of indeterminates(variable) and coefficients.

What are polynomials?

Polynomial is an expression that consists of indeterminates(variable) and coefficients, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

To know which polynomial to match, solve the factors.

A.) (x-4)(x²+4x+16)

[tex](x-4)(x^2+4x+16)\\\\=x(x^2+4x+16)-4(x^2+4x+16)\\\\= x^3 + 4x^2 + 16x - 4x^2-16x-64\\\\=x^3 -64[/tex]

Hence, (x-4)(x²+4x+16) will match x³-64.

B.) (x+4)²

[tex](x+4)^2\\\\= x^2+8x+16\\[/tex]

Hence, (x+4)² will match x²+8x+16.

C.) (x-4)(x+4)

[tex](x-4)(x+4)\\\\ = x^2-16[/tex]

Hence, (x-4)(x+4) will match x²-16.

Learn more about Polynomial:

https://brainly.com/question/17822016

#SPJ2

Find the perimeter of a rectangle with Area = x^2 + 8x + 12

Answers

Answer:

(x+6)*(x+2)

step-by-step explanation:

If you get this please help me

Answers

Dude I am so sorry but I'm just as confused as you are-

Answer:

36 in.

Step-by-step explanation:

the perimeter of the square is 4s and the perimeter of the triangle is 3(s+3).

since the perimeters are the same you can set them equal to each other and solve.

you should get s=9

substitute 9 into the square perimeter equation to get 36 in.

Andrea needs to purchase 2.8 pounds of bananas that cost $0.60 per
pound and 3 pounds of apples that cost $0.77 per pound. If she gives
the cashier $10.00, how much change will she receive?
A $2.31
B. $3.99
c. $6.01
D. $7.99

Answers

the answer is c. $6.01
Hope I helped ! good luck :)

Ut of a group of 145 students that were surveyed about sports, 31 said they play basketball and 59 said they play soccer. 18 of the students who said they play basketball said they also play soccer. If a student is chosen at random, find the probability.

Answers

Answer:

0.5806

Step-by-step explanation:

Out of a group of 145 students that were surveyed about sports, 31 said they play basketball and 59 said they play soccer. 18 of the students who said they play basketball said they also play soccer. If a student is chosen at random, find the probability. P (Soccer |Basketball).

Solution:

P(soccer) = number of students playing soccer/ total number of students.

P(soccer) = 59/145

P(basketball) = number of students playing basketball/ total number of students.

P(basketball) = 31/145

P(soccer and basketball) = number of students playing soccer and basketball/ total number of students.

P(soccer and basketball) = 18/145

From Bayes theorem:

P(A | B) = P(A ∩ B) / P(B)

Hence:

[tex]P(soccer|basketball)=\frac{P(soccer\cap baketball)}{P(basketball)}=\frac{\frac{18}{145} }{\frac{31}{145} } =0.5806[/tex]

A 21 21-inch candle burns down in 12 hours. At what rate does the candle burn, in inches per hour?

Answers

Answer:

1.75 inches per hour

Step-by-step explanation:

21/12=1.75

I WILL GIVE BRAINIEST IF CORRECT
Tucker measured the auditorium and made a scale drawing. The scale he used was 1 inch : 3 feet. The stage is 57 feet long in real life. How long is the stage in the drawing?

Answers

Answer:

19 inch

Step-by-step explanation:

57÷3=19

19 inches as the ratio is 1:3

In the multiplication table below, patterns of equivalent ratios can be found in
rows only
columns only
both rows and columns
neither does nor columns​

Answers

Answer: the third option

Step-by-step explanation:

$2.98 for 15.5 ounces of oreos

Answers

Answer:

$46.19

Step-by-step explanation:

Find mZT.
35
25°
R
T

Answers

Answer:

you have to post a pic with the problem

Step-by-step explanation:

there's a button that looks like a clip of you press that it'll give you a option to take a photo

Lsat month, harri drove 850 miles in his car. his car's fuel consumption is 45.6 miles per gallon. petrol cost £1.09 per litre. given that 8pints = 1gallon, work out how much Harri spent on fuel last month. You must show working out.

Answers

Answer:

£76.904

Step-by-step explanation:

Lsat month, harri drove 850 miles in his car. his car's fuel consumption is 45.6 miles per gallon. petrol cost £1.09 per litre. given that 8pints = 1gallon, work out how much Harri spent on fuel last month. You must show working out.

a) 45.6 miles per gallon

45.6 miles = 1 gallon

850 miles = x

Cross Multiply

x = 850/45.6

x = 18.640350877 gallons

b) 8pints = 1gallon,

8 pints = 3.785 litres

1 gallon = 3.785 litree

18.640350877 gallons = y

Cross Multiply

18.640350877 litres × 3.785

= 70.5537280694 gallons

c) 1 litres = £1.09

70.5537280694 litres = z

Cross Multiply

z = 70.5537280694 × £ 1.09

z = £76.9035635957

Approximately = £76.904

Answer:

Step-by-step explanation:

Lsat month, harri drove 850 miles in his car. his car's fuel consumption is 45.6 miles per gallon. petrol cost £1.09 per litre. given that 8pints = 1gallon, work out how much Harri spent on fuel last month. You must show working out.

a) 45.6 miles per gallon

45.6 miles = 1 gallon

850 miles = x

Cross Multiply

x = 850/45.6

x = 18.640350877 gallons

b) 8pints = 1gallon,

8 pints = 3.785 litres

1 gallon = 3.785 litree

18.640350877 gallons = y

Cross Multiply

18.640350877 litres × 3.785

= 70.5537280694 gallons

c) 1 litres = £1.09

70.5537280694 litres = z

Cross Multiply

z = 70.5537280694 × £ 1.09

z = £76.9035635957

Approximately = £76.904

Please help, Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21?

Select each correct answer.


(−1, −6)

(−3, 3)

(7, 0)

(11, 3)

Answers

(-1, -6) and (11, 3) would both be correct

Find the percent change:

1) 40 to 25

2) 120 to 140

Answers

Answer:

1) 62.5%

2) 85.714285714286%

Step-by-step explanation:

Can i have brainliest plz :)

1) -37.50%
2) 16.666666666666664%

can someone solve this problem​

Answers

9514 1404 393

Answer:

discriminant: -232 complex solutions

Step-by-step explanation:

Compare the equations ...

  ax² +bx +c = 0

  x² -x +6 = 0

and you can see that the values of a, b, c are ...

  a = 1, b = -1, c = 6

Putting these values into the expression for the discriminant, ...

  d = b² -4ac

we have ...

  d = (-1)² -4(1)(6) = 1 -24 = -23

The discriminant is -23.

__

The interpretation of the discriminant is ...

  negative -- 2 complex solutions

  zero -- one real solution

  positive -- 2 real solutions

Here, the discriminant is negative, so ...

The equation has 2 complex solutions.

i need help pls
pls explain it if you can :)

Answers

Answer:

yea see when i learned this we had to subtract the input to the out put and then divide all the answers to get 1 single out come

Step-by-step explanation:

( 100 points and brainliest) Pls helpppp

Answers

Answer:

the answer is 10

Step-by-step explanation:

2312.2+3.4 what is the value expression

Answers

Answer: 11578 /5 =2315.60000

Explaination: STEP 1: Simplify: 17/5

Equation at the end of step 1:  23122/10 + 17/5

STEP  2  :   Simplify 11561/5

STEP 3:  Adding fractions which have a common denominator.  Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

11561+ 17/5= 11578/5

Final Answer: 11578/5 Brainliest pls

Answer:

2315.6 (Fraction= 2315 3/5)

Step-by-step explanation:

2312.2 (2312 1/5) + 3.4 (3 2/5) = 2315.6 (2315 3/5)

What is the unit rate if the rate is 30 laps for 10 minutes

Answers

Answer:

1 lap per minute

Step-by-step explanation:

One pipe can fill a tank in 8 minutes. A second can fill it in 12 minutes, and a third can fill it in 24 minutes. If the tank is empty, how long will it take the three pipes, operating together, to fill it?

Answers

Answer:

This is a trick answer but the answer is 24 minutes

Step-by-step explanation:

They have already added up the time and its 24 if you read 1 is 8 the second is 12 and 3 pipes are 24

Also lemme get brainlist

Answer:

4.8 min (4 min 48 seconds)

Step-by-step explanation:

In one minute:

Pipe A fills the tank 1/8th full

Pipe B fills the tank 1/12 full

Pipe C fills the tank 1/24th full

1/8 + 1/12 + 1/24 = 5/24

So the the at which they will fill the tank is 24/5,

or 4.8 minutes (4 minutes 48 seconds)

While sorting some change into piggy banks, Rachel put 5 coins in the first piggy bank, 6 coins in the second piggy bank, 8 coins in the third piggy bank, and 11 coins in the fourth piggy bank. If this pattern continues, how many coins will Rachel put in the fifth piggy bank? coins​

Answers

Answer:

15 coins

Step-by-step explanation:

There is a pattern. She adds 1 coin, then 2, then 3. She will add four to the next piggy bank.


What is the value of x in the figure below?

Answers

Answer:

i think its 18 sowwy if this is wrong

Step-by-step explanation:

The answers is 22 because its 4x equal 4 times 17 that equals 68 so 68 plus 22 is 90 and thats a 90 degree angle so thats your answer

When the expression x^2 + bx - 24 is factored completely, the difference of the factors is 11. Find both factors if it is known that b is negative.

write the steps on the paper pleaseeee
i need it asap

Answers

Answer:

The two factors are (x + 3) and (x - 8)

Step-by-step explanation:

The given function is x² + b·x - 24

The difference between the factors = 11

The sign of coefficient b = Negative

Therefore, we have;

The factors as (x - c) and (x + d)

-b = d - c...(1)

d × (-c) = -24...(2)

(x + d) - (x - c) = 11

Which gives;

x + d - x  + c = 11

∴ d + c = 11...(3)

From equation (3), we have;

d = -24(-c) = 24/c

d = 24/c

Substituting the value of d in equation (3) gives;

d + c = 24/c + c = 11

24/c + c = 11

∴ c² + 24 = 11·c

c² + 24 - 11·c = 0

c² - 11·c + 24 = 0

(c - 8)·(c - 3) = 0

c = 8 or 3

From d + c = 11, we have, d = 3 or 8

Given that -b = d - c, therefore c > d and c = 8, d = 3

Therefore, the two factors are (x - 8) and (x + 3).

HELP ME PLEASE!!!!! ITS EASY 10 POINTS

Answers

Answer:

x=3

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

I did this on a quiz and I got it right :)

Star Burger buys 10-pounds of meat for $27.50. How many pounds can be bought for $55.00?

Answers

Answer:

20-pounds

Step-by-step explanation:

If you multiply $27.50 by 2 then you get $55.00

($27.50*2=$55.00)

Answer:

2 pounds of meat

Step-by-step explanation: if you do 27.50 times 2 you get 55

(0,-4) , (8,4) writing equations in slope intercept form write an equation of each line that passes through the given points answers please

Answers

Answer:

y = x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (8, 4)

m = [tex]\frac{4+4}{8-0}[/tex] = [tex]\frac{8}{8}[/tex] = 1

The line crosses the y- axis at (0, - 4 ) ⇒ c = - 4

y = x - 4 ← equation of line

What is the distance between -13 and -4 on a number line?

Answers

It’s -9 because you subtract 9 from -4 to get -13

Question 2
Find the slope of a line that passes through the given points.
(-8, -11) and (17, 4)

Answers

Answer:

slope = 0.6

Step-by-step explanation:

help please............................................

Answers

Answer: C

Step-by-step explanation:

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