Avery is in the business of manufacturing phones. She must pay a daily fixed cost to
rent the building and equipment, and also pays a cost per phone produced for
materials and labor. The labor and materials cost $100 for each phone manufactured,
and the total cost of producing 3 phones in a day would be $600. Write an equation
for C, in terms of p, representing total cost, in dollars, of producing p phones in a
given day.
Answer: C=?

Answers

Answer 1

Answer:

The equation that represents the total cost in dollars is C = 100p + 300

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slope ⇒ rate of changeb is the y-intercept ⇒ fixed amount

∵ Avery must pay a daily fixed cost to  rent the building and equipment

∴ There is a fixed amount b

∵ She pays a cost per phone produced for  materials and labor

∴ There is a rate m

C represents the total cost of producing p phones in dollars

→ Form the linear equation for the situation

∴ The equation is C = m p + b

∵ The labor and materials cost $100 for each phone

m = 100

→ Substitute it in the equation above

C = 100p + b

∵ The cost of producing 3 phones in a day would be $600

p = 3 and C = 600

→ Substitute them in the equation above to find b

∵ 600 = 100(3) + b

∴ 600 = 300 + b

→ Subtract 300 from both sides to find b

∵ 600 - 300 = 300 - 300 + b

300 = b

→ Substitute it in the equation

C = 100p + 300

The equation that represents the total cost in dollars is C = 100p + 300


Related Questions

help plz plzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

y intercept is -2

slope is 2/3

equation is y = 2/3x-2

Answer:

slope: 4/6

Y intercept: -2

Equation: y=4/6x-2

2x/25 = 0.4/0.15. Please Help.

Answers

Answer:

x = 1.335

Step-by-step explanation:

2x = 10/3.75

2x = 2.67

x = 1.335

figure Ais reflected across the line to create figure A’

Answers

What about it? What is your question that ur asking

(x + 3)2 – (y + 2)
2​

Answers

Answer:

2x+2-2y

Im confused are those supposed to be ^2 powers? If so then the answer would be

x^2+6x+5-y^2-4y

Step-by-step explanation:

I REALLY HOPE THIS HELPS PLS CONSIDER GIVING BRAINLIEST I REALLY NEED IT AND WOULD APPRECIATE IT!

Solve for t.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
4t - 3 > 370 - 50

Answers

Answer:

t<47/33

Step-by-step explanation:

2/21 times 7/5 simplified

Answers

Answer:

2/15

Step-by-step explanation:

21 times 5 = 105

2 times 7 = 14

14/105 divided by 7       ( They both can be divided by 7 )

2/15

3 to the power of 2 + (15 ÷ 5 × 6) − 49

Answers

Answer:

i think its -31

Step-by-step explanation:

thats what i got

hope this helps :)

Answer:

-22

Step-by-step explanation:

PEMDAS!

Solve (15 ÷ 5 × 6) first. This is equal to 18.

[tex]3^2[/tex] + 18 - 49

[tex]3^2[/tex] is equal to 9.

9 + 18 - 49 = -22

Solve for x
4/7^5x=64/343^2x-1

Answers

Answer:

4/7^5x=64/343^2x-1
(4/7)^5x=(4/7)^6x-3
5x=6x-3
5x-6x=-3
-x=-3
x=3

Hope this helps.

$10.50 for 3 pounds round to the nearest hundredth can u solve the other pens too .

Answers

Answer: 3: $3.50 for one pound

4: The value of X is 10

5: P has the value of 2

Step-by-step explanation:

can anyone help i will give brainlist!! also you have to solve the equations using elimination

Answers

Step-by-step explanation:

5x+2y=29

5x-2y=41

add the equations

10x=70

divide both sides by ten

x=7

substitute 7 in the first equation

5(7)+2y=29

simplify

35+2y=29

subtract 35 from both sides

2y=-6

simplify

y=-3 x=7

3x+2y=9

5x+2y=12

subtract the equations

-2x=-3

simplify

x=1.5

substitute

3(1.5)+2y=9

simplify

4.5+2y=9

subtract 4.5 from both sides

2y=4.5

simplify

y=2.25 x=1.5

5x+2y=-9

2x-3y=4

multiply first equation by three and second by two

15x+6y=-27

4x-6y=8

add equations

19x=-19

simplify

x=-1

substitute

15(-1)+6y=-27

simplify

-15+6y=-27

add 15 to both sides

6y=-12

simplify

y=-2 x=-1

what is the equation for the line in slope intercept form plz help ASAP

Answers

Answer:

y = - 4x + 5

Step-by-step explanation:

y = mx + b

(0, b) y-intercept

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

~~~~~~~~~~

( - 2, 13)

(0, 5) <----- y-intercept

(3, - 7)

(4, - 11)

m = [tex]\frac{-11+7}{4-3}[/tex] = - 4

y = - 4x + 5

Anita guessed that there were 180 pieces of candy in a jar, they were actually 220 pieces of candy in the jar what was Anita's approximate percent error

Answers

Answer:

18%

Step-by-step explanation:

Solve by making 180/220 into a percentage:

First, simplify the fraction by both parts by 20. This will result in the fraction 9/11.

To make it a percentage, write it as a ratio:

9/11 = x/100

Multiply both sides by 100 and 11:

11x = 900

Divide both sides by 11:

x = 81.818181...

Subtract from 100 to find the error:

18.181818...

So about 18%

Hope that helps! :D

Answer: 18%

Step-by-step explanation: Trust me.

I beg you please help me I will give you lots of credit please

Answers

Answer:

B

Step-by-step explanation:

The line going with the graph for 1 day meets in-between 1, and 2 dollars, so it is 1.50

The answer should be option B!

There are 312 calories in six ounces of a certain ice cream. How many calories are there in three pounds?

Answers

1 lb = 16 oz
312/6 = 52 cal/oz
16(3) = 48 oz
52(48) = 2496 calories

Answer:

2496 calorise

Step-by-step explanation:

3 pounds = 3 x 16 = 48 ounces

312 cal = 6 ounces, so the unit rate is ( 312 ÷ 6 = 52) 52 cal per ounce

52 x 48 ounces = 2,496

Glad I could help

What is the solution to the equation 5 (x minus 6) = 2 (x + 3)?
x =

Answers

Answer:

x = 12

Step-by-step explanation:

Solve for x:

[tex] \longrightarrow [/tex] 5 (x - 6) = 2(x + 3)

Expand out terms of the left hand side:

[tex] \longrightarrow [/tex] 5x - 30 = 2(x + 3)

Expand out terms of the right hand side:

[tex] \longrightarrow [/tex] 5x - 30 = 2x + 6

Subtract 2x from both sides:

[tex] \longrightarrow [/tex] (5x - 2x) - 30 = (2x - 2x) + 6

5x - 2x = 3x:

[tex] \longrightarrow [/tex] 3x - 30 = (2x - 2x) + 6

2x - 2x = 0:

[tex] \longrightarrow [/tex] 3x - 30 = 6

Add 30 to both sides:

[tex] \longrightarrow [/tex] 3x + (30 - 30) = 30 + 6

30 - 30 = 0:

[tex] \longrightarrow [/tex] 3x = 6 + 30

6 + 30 = 36:

[tex] \longrightarrow [/tex] 3x = 36

Divide both sides of 3x = 36 by 3:

[tex] \longrightarrow [/tex] [tex] \sf \dfrac{3}{3}x = \dfrac{36}{3} [/tex]

[tex] \sf \dfrac{3}{3} = 1: [/tex]

[tex] \longrightarrow [/tex] [tex] \sf x = \dfrac{36}{3} [/tex]

[tex] \sf \dfrac{36}{3} = 12: [/tex]

[tex] \longrightarrow [/tex] x = 12

Answer: 12

Step-by-step explanation: On Edge!!!!!!!!!!!!!!!!!!!

If I saved up $10 every 2 weeks, how much would I have saved in a year? Please help, thank you!

Answers

I believe there’s 52 weeks in a year besides leap year so it would be 52 divided by 2 times 10 and you’d have your answer
240 might dkjddikekdjdjdjdjdjdjdjsjs

How do you know whether an ecuation is an identity? How many solutions does an identity have? Explain

Choose the correct answer below

O, A. An equation is an identity w it can be rewitten as an equation of the form"variable = ruumiker, such as x=5 or y=3. Such an equation has an infinite

number of solutions because a variable can be any number

OB. An equation is an idersity it can be rewritten as an equation of the form "variable = number," such as x=5 or y=3. Such an equation has only one solution,

and the solution is called the identity of the variable

OC. An equation is an identity #it can be rewritten as 0-0. Such an equation has only one solution, 0, and that is the identity of the variable

OD. An equation is an identity if it can be rewritten as 0 =0. Such an equation has an infinite number of solutions because it reduces to a true statement

regardless of the value of the variable

Answers

Answer: D. An equation is an identity if it can be rewritten as 0 =0. Such an equation has an infinite number of solutions because it reduces to a true statement regardless of the value of the variable.

Step-by-step explanation:

For an identity equation ; The value on the right and left hand side of the equation are equal :

Left hand side = Right hand side

The solution to an identity solution is infinite because the equation holds true for every value substituted for the variable.

Hence, for every value substituted in for the variable in the equation, the equation is a true statement.

which equation represents the line that passes through the points (6, -3) and (-4,-9)

A. y + 4= 3/5(x+9)
B.y + 4= 5/3(x+9)
C.y - 3=3/5(x+9)
D.y + 3=3/5(x-6)

Answers

Answer:

b is the answer

Step-by-step explanation:

The sum of three numbers is 67. The third number is 2 times the first. The first number is 5 more than the second. What are the numbers?

Answers

Answer:

1. 18 2. 13 3. 36

Step-by-step explanation:

Six less than two times a number

Answers

Answer:

6<2x

Step-by-step explanation:

six less than 2  is 6<2

times a number would be 2 and any letter so 2x

Which is the graph of the solution set of −2x + 5y > 15? On a coordinate plane, a dashed straight line has a positive slope and goes through (0, 3) and (10, 7). Everything above and to the left of the line is shaded. On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (5, 1). Everything below and to the left of the line is shaded. On a coordinate plane, a dashed straight line has a positive slope and goes through (0, 5) and (10, 9). Everything above and to the left of the line is shaded.

Answers

Answer:

The solution set of the system of inequalities is the region above the dashed line (y=-2x-2) and below the solid line (y=x+4).

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Guys!!!!!!! plz help me answer this! 40 points!!!!

Answers

Answer:

x = 6.

Step-by-step explanation:

There are actually two possible solutions, namely 6 and -1. However, due to the impossibility of the answer being -1 (a side cannot have negative length), the answer is 6.

Hope this helped!

What is 100000000000000x234500000020000030040040

Answers

Answer:

234500000020000000000000000

Step-by-step explanation:

The correct answer is "ERROR” :D

Winnie needs to spend $120 on two kinds of fancy cakes:
Chocolate Delight and Coffee Comfort. The Chocolate cake
sells at 12 dollars per slice and the Coffee cake sells at 10
dollars per slice.
If Winnie buys 5 slices of Chocolate cake, how many slices of
Coffee cake does she buy?
___slices

Answers

Answer:

Winnie needs to buy 6 slices of Coffee cake.

Step-by-step explanation:

12 * 5= $60 (chocolate cake)

120 - 60= 60

since we know the coffee cake costs $10(per slice) we do:

60/ $10= 6 slices of coffee cake.

2.What is the answer to this problem

Answers

Answer: It is not a Function

Step-by-step explanation: One input has two outputs.

it is not a function. yo.

can someone help me , with math thanks

Answers

Answer:

2+w greater than 5

Step-by-step explanation:

w=-3

Answer:

[tex]w = 3[/tex]

Step-by-step explanation:

[tex]2 + w > 5 \\ w = 5 - 2 \\ w = 3[/tex]

236462700.806 to the nearest cent

Answers

Answer:

236462700.81

Step-by-step explanation:

The nearest cent refers to the hundreds place, because 100 pennies (or cents) make 1 dollar. We look at the number to the right of the hundredths place and if it is less than 5 we round down, but if it is 5 or more we round up. Since 6 is more than five we round up, and are left with 236462700.81.

3(x + 7)
plz heeelp
who ever helps gets 5 points

Answers

Answer:

3x + 21

Step-by-step explanation:

3(x+7)

3 * x + 3 * 7

3x + 21

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

3x + 21

Step-by-step explanation:

3(x + 7)

3(x + 21)

3x + 21

Find the product of the binomials.
(x - 2) (3x + 1) (4x – 3)=

Answers

Answer:

Step-by-step explanation:

(x - 2) (3x + 1) (4x – 3)=

12x^3-29x^2+7x+6

 Foil the binomials.

x*3x x*4x etc

Please help, thank you

Answers

Answer:

The answer is B

Step-by-step explanation:

8^1/3=2

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