the table below shoes the rates for two duplicating companies. quick copy copy place initial fee of $5.00 initial fee of $10.00 $0.06 per page $0.04 per page the total cost, c, is dependent on the number of pages, p, that are duplicated. which of these systems of equations represents this situation? p = 5 + 6c p = 10 + 4c ⊝ c = 5 + 6p c = 10 + 4p ⊝ p = 5 + 0.06c p = 10 + 0.04c ⊝ c = 5 + 0.06p c = 10 + 0.04p

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Answer 1

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Answer 2

The system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

What is Equation Modelling?

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.

We have the rates for two duplicating companies. There are two different rates as-

[1] > initial fee of $5 and $0.06 per page.

[2] > initial fee of $10.00 and $0.04 per page.

For the [1] company, we can write the equation as -

C[1] = 5 + 0.06x

For the [2] company, we can write the equation as -

C[2] = 10 + 0.04x

So, the system of equations will be -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

Therefore, the system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

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

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Related Questions

if m*n=-12 and m+n=11 what is m? what is n?
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Answers

Answer:

i think its -10

Step-by-step explanation:

hope im not wrong

The sum of two numbers is 68 and the difference is 12. What are the numbers? Larger number: Smaller number:

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Answer:

This is hard asfk

Step-by-step explanation:

Sorry but im confused just as you.

A truck driver earns $21.00 per hour for the first 40 hours worked in one week. The driver earns time-and-a-half, or $31.50, for each hour worked in excess of 40. The piece-wise function below represents the driver wage, w(h), as a function of the hours worked in one week, h. How much money does the truck driver earn in a week if he works 30 hours? *

Answers

Answer:

$21 x 30 = 630 (630 the answer)

Step-by-step explanation:

A store has x number of shirts. Each shirt was sold for $16, but the last dozen was sold on sale for $14 each. When all shirts were sold, the store gained $616. Find the number of shirts sold at the regular price.

Answers

Answer:

28 shirts

Step-by-step explanation:

Let's see what we are given.

there are x amount of shirts ($616 total)

there are 12 in a dozen

the regular shirts are $16

the last 12 shirts are $14

Lets make an equation.

616= 14(12) + 16x

616=168+16x

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(Sorry if this explanation is bad)

on a beautiful day there are 65 cars in the beach parking lot 26 more cars park in the parking lot before noon but 17 car slept how many cars are in the beach parking lot ​

Answers

Answer:

a

Step-by-step explanation:

What’s the slope of the line that passes through (-9, -4) and (6, 15).

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19/15, look at the attachment for work

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Answers

Answer:

measure of angle p=

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Step-by-step explanation:

ok 5 sided polygon= 540

so put all of those equal to 540

need to find x first

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simplify and combine like terms

x=23

now plug in for angle p

(4(23)+2)

94

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Answers

Step-by-step explanation:

I think it's 48 square units

2) How old am I if 300 reduced by 4 times my age is 44?

Answers

Answer:

64

Step-by-step explanation:

300 -4x = 44

(300 - 44)/4= 64

check

64 x 4 =256

300 - 256 = 44

If a class of 30 students have to split the boys and girls in hafe and 10% are girls, how meany girls are in the class

Answers

Answer:

10 girls

Step-by-step explanation:

Question : If lines BG and CF are parallel, then OLF = OMG. Is this statement correct? Explain your answer.

Answers

Answer:

Yes this statement is correct.

Step-by-step explanation:

just mental math

The statement given that ∠OLF = ∠OMG is found to be; Correct from theorem of corresponding angles.

We are told that;

BC is parallel to CF

Now, we are told that;

∠OLF = ∠OMG

We can see that line DH is a transverse line that crosses the two parallel lines given as BG and CF

Now, according to theorem of corresponding angles, the angle's that are formed when two parallel lines are crossed by a transverse line are said to be equal because they correspond to one another.

In conclusion, it is true from corresponding angles that ∠OLF and ∠OMG are equal.

Read more about corresponding angles at; https://brainly.com/question/12054594

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Answers

Answer:

look at graph

There are 14 green crayons and 28 red crayons in a bin. What is the ratio of green crayons to red crayons in simplest form?

Answers

Answer:

Green crayons are 1/3 of all the crayons and the red crayons are 2/3 of the crayons. So 1/3rd to 2/3rds

Step-by-step explanation:

14+28=42

14/42=1/3

28/42=2/3

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Answers

Answer:

It Would be C (the third one)

Step-by-step explanation:

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Answer:

Step-by-step explanation:

-n+1

Step-by-step explanation:

(n+2)-(2n+1)

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Answers

Answer:

she have feed 26 or 27

Step-by-step explanation:

I am confused it's 26 or27

At the bookstore, Tim bought a magazine for $4, and five books that all cost the same amount. He spent a total of $129. Which equation expresses how much each book cost?

Answers

Answer:

25(b) + 4 = 129

Step-by-step explanation:

b=5

25(5) + 4=129

Geometry...Please help as soon as possible please and Thank you so much!

Answers

Answer:

Step-by-step explanation:

Statement1. ∠KJL ≅∠LMK (A)

Reason1. Given

Statement2. ∠JKL≅∠MLK (A)

Reason2. Given

Statment3. KL≅KL (S)

Reason3. Reflexive propriety

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Answers

Answer:

1086

Step-by-step explanation:

BODMASS (Multiplication first, addition after)...

15×72= 1080

1080+6= 1086

hope it helps

Because of PEMDAS, Simplify 15x72 first. That will bring you to 1080. After that we add 6 to the 1080 because you always do Multiplication first. Your answer would be 1086 if you followed PEMDAS correctly.

PEMDAS:

1. Parentheses

2. Exponents

3. Multiplication

4. Division

5. Addition

6. Subtraction

That's the order of operations if you ever want to know what to do first.

sports drinks- $1.75
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Answers

Answer:

7 drinks

Step-by-step explanation:

7x1.75=12.25

4 x 2.25= 9

added - 21.25

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Answers

Answer:

2:5

Step-by-step explanation:

Simplify

Which statement describes a ratio?

Answers

answer c cause its comparing im pretty sure

For f(x) = 5x and g(x)= x + 9, find
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a.
C.
a.
(fog)(x)=
(Simplify your answer.)

Answers

Answer:

(fog)(x)  = 5x+45(gof)(x)   = 5x+9(fog)(3) = f(g(3)) = f(12) = 60    

Step-by-step explanation:

Given

f(x) = 5xg(x) = x + 9

Finding (fog)(x)

(fog)(x)  = f(g(x))

(fog)(x)  = f(x+9)

(fog)(x)  = 5(x+9)             ∵ substitute x as x+9 in the f(x)

(fog)(x)  = 5x+45

Finding (gof)(x)

(gof)(x) = g(f(x))

(gof)(x)  = g(5x)

(gof)(x)   = 5x+9                 ∵ substitute x as 5x in the g(x)

Finding (fog)(3)

(fog)(3) = f(g(3))

substitute x = 3 in the g(x)=x+9

g(x) = x+9

g(3) = 3+9

g(3) = 12

so

(fog)(3) = f(g(3)) = f(12)

now substitute x = 12 in  f(x) = 5x

f(x) = 5x

f(12) = 5(12)

f(12) = 60

Thus,

(fog)(3) = f(g(3)) = f(12) = 60

18.
The perimeter of a rectangle is 42 inches. The length of the rectangle can be represented by x + 4 and its width can be represented by 2x minus 7. What is the width of the rectangle in inches?

8

9

12

10.3

Answers

p=2(l+b) =2(3x-3) =6x=48=x=8

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Step-by-step explanation:

what is 9 divided by 3 plus for times 6 plus 8

Answers

Answer: 50

Step-by-step explanation: 9 divided by 3 plus 4 times 6 plus 8 equals 50

Answer:

35

Step-by-step explanation:

9 ÷ 3 + 4 · 6 + 8

Do 9 ÷ 3 first

3

Plug this value back into the equation

3 + 4 · 6 + 8

Do 4 · 6 next

24

Plug this value back into the equation

3 + 24 + 8

Add 3 to 24

27

Plug this value back into the equation

27 + 8

Add

35

Hope this helps :)

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When you’re multiplying or dividing same sign numbers, what will your product or quotient be?

Answers

When you multiply two integers with the same signs, the result is always positive. Just multiply the absolute values and make the answer positive. When you multiply two integers with different signs, the result is always negative.

The answer will be the opposite of the sign so for example -5*-5= 25

Emma throws an object upward from a hill that is 64 feet high. The object has an initial velocity of 48 feet per second. The function y = -16x2 + 48x + 64 represents the height of the object, y, in terms of the time elapsed after the object is thrown, x.

Answers

Answer:

100feet

Step-by-step explanation:

Given the height of the object modelled by the equation

y = -16x^2 + 48x + 64

We can find the maximum height reached by the object since we are not told what to find.

The velocity of the object at its max height is zero.

dy/x = 0

dy/dx = -32x + 48

0 = -32x + 48

32x = 48

x = 48/32

x = 1.5secs

get the max height by substituting x = 1.5 into the given equation:

y = -16x^2 + 48x + 64

y = -16(1.5)^2 + 48(1.5)+ 64

y =  -36+72+64

y = 100 feet

Hence the maximum height reached by the object is 100feet

Anyone know??
8. What is the slope of the line that passes through the pair of points? (3.-4), and (6.-9)? (1 point)

Answers

Answer:

-5/3

Step-by-step explanation:

y2-y1      -5

--------- =  ---

x2-x1 .     3

(FREE BRAINLIEST I NEED HELP PLEASE BAIL ME OUT)Find the constant of proportionality in a graph. Be sure to include the units with the value.





Constant of Proportionality =

Answers

Answer:

Fraction form:

[tex]\frac{3}{4}[/tex]

For every 3 dollars, there are 4 cookies

Step-by-step explanation:

To find the constant, find the rise (y-direction) and the run (x-direction). Of the two points on the line, the rise is 3 and the run 4. The constant is rise over run. So, it’s [tex]\frac{3}{4}[/tex]. This means that for every 3 dollars, there are 4 cookies.

Hope this helps! :)

Jackie weighed an Amazon box that was delivered to her home.The box weighed 192 ounces.How much does the box weight in pounds

Answers

Answer:

12 pounds

Step-by-step explanation:

You have to divide the mass value by 16.

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