Mathematics High School


Adah produces scented candles. The cost of producing a candle is $1.25. Adah sells a candle for $2.50. She has a start-up costs of $300.

a) Write a system of two equations that models this situtaiton.

b) Determine the number of candles Adah must sell to break even. Solve the system using your chosen method and identify the method used.

Answers

Answer 1

Answer:

(a) The system of two equations are

c = $300...(1)

p = x × ($2.50 - $1.25)...(2)

(b) The number of candles she must sell to break even are 240 candles

Step-by-step explanation:

The cost of of producing a candle = $1.25

The price at which Adah sells a candle = $2.50

The stat-up cost of producing candles = $300

(a) Let c represents the start-up cost of producing candles, let p represent the profit Adah makes from selling candles and x represents the number of candles sold, we have;

c = $300...(1)

p = x × ($2.50 - $1.25)...(2)

(b) The number of candles Adah must sell to break even is given as follows;

At break even point, Start-up cost = Profit

∴ c = p

300 = x × (2.50 - 1.25) = 1.25·x

∴ x = 300/1.25 = 240

Therefore;

The number of candles she must sell to break even = 240 candles

Related Questions

A $760 item is marked down by 10% what is the new cost of the item

Answers

Answer:

Step-by-step explanation:

This means the cost of the item to you is $684. You will pay $684 for an item with an original price of $760 when discounted 10%. In this example, if you buy an item at $760 with a 10% discount, you will pay 760 - 76 = 684 dollars.

Answer:

the answer is $684

Step-by-step explanation:

760 x 10 /100= 76

760 - 76 = $684

plz answer! only if correct

Answers

Answer:

should be 180

Step-by-step explanation:

All triangles add up to 180 degrees based on the triangle sum theorem

It should be 180 I think it is 180 so yeah

pls help me!! I really need it!

Answers

The first one i believe?

:P HELLLP what is (13x20)5+6 = ___ - 1/3.

Answers

Answer: 1304.7

Step-by-step explanation: just took test

13x20. 5 + 6 = 11?
^. ^
260 11

what is the at least probability of 6

Answers

Answer:

15/36 or 41.667%

Step-by-step explanation:

simplify:4.6t + 7.1s + 12.8t - 1.6s

Answers

Answer:

17.4t+5.5s

Step-by-step explanation:

im sorry if its wrong

EASY MATH- MERRY X MAS :))))

Answers

Answer:

x-intercept means the advertising expense when the company's profit was zero dollars ⇒ D

Step-by-step explanation:

Let us solve the question

∵ P = -250x³ + 1,505x² - 300, for 0 < x < 6

∵ P is the profit in tens of thousands of dollars

∵ x is the advertising expense in tens of thousands of dollars  

∴ x is the independent variable

∴ P is the dependent variable

→ x-intercept means value x when P is 0

∵ The x-intercept is the value x at P = 0

∴ x-intercept means the advertising expense when the company's

   profit was zero dollars

2. What is the equation of the line that passes through the points (4,5) and
(8,3)?

Answers

Answer:

y = -1/2x + 7

Step-by-step explanation:

The slope is -1/2.

The y intercept is 7.

Plugging them into the format for the equation we have:

y = mx + b

(m = slope and b = y intercept)

y = -1/2x + 7

Right triangle PQR has sides of length 6 units, 8 units, and 10 units. The triangle is dilated by a scale factor of 4 about point Q. What is the area of triangle P’Q’R’?

Helpp plss

Answers

The area of the triangle P’Q’R’ is 384 square units

The formula for calculating the area of a triangle is expressed as:

A = 0.5bhb is the base of the triangleh is the height of the triangle.

If the right triangle PQR has sides of length 6 units, 8 units, and 10 units is dilated by a scale factor of 4 units, hence:

base = 4(6) = 24 unitsheight = 4(8) = 32 units

Area of the triangle P’Q’R’ = 0.5(24)(32)

Area of the triangle P’Q’R’ = 384 square units

Hence the area of the triangle P’Q’R’ is 384 square units

Learn more on area of triangles here: https://brainly.com/question/17335144

How would I solve this? I tried and I got a reallly crazy number... I think I messed up somewhere. The question is... Jack and Mark work together on a job, but not equal hours. Mark gets paid $11 per hour and Jack gets paid $10 per hour. Together they worked 58 hours and earn a total of $601. How many hours did each one work?

I made these equations.
m+j=58
11m+10j
The first one I rearranged to m=58-j.

Answers

37 x 10 = 370
21 x 11 = 231

Mark worked 21 Hours, Jack worked 37 Hours.

Answer:

Jack earns $37

Mark earns $21

Step-by-step explanation:

m + j = 58

11m + 10j = 601

j = 58 - m

11m + 10(58 - m) = 601

11m + 580 - 10m = 601

1m = 601 - 580

m = 21

j = 58 - m

j = 58 - 21

j = 37

A rectangular sheet of paper $8\frac{1}{2}$ inches by 11 inches is folded and then taped so that one pair of opposite vertices coincide. What is the number of inches in the perimeter of the resulting pentagon

Answers

Answer:

32.2 inches

Step-by-step explanation:

-1/2 (10+1/4)


A. -5 -1/4

B. -5 -1/8

C. -5 +1/8

D. -5 +1/4.

Please help, I'll mark first correct as Brainlyest

Answers

Answer:

-5 1/8

Step-by-step explanation:

-5 1/8

HELPPPPPPPP ASAPPPP PLSSSS

Answers

y=-2/5x+5 i think not sure sorry

is this a right, acute or obtuse angle based on the slopes?​

Answers

Answer: Acute

Step-by-step explanation:

Please answer number 26

Answers

Answer:

m = 0.1

b = 5

Step-by-step explanation:

The slope-intercept formula is mx + b.

m = slope

b = y-intercept.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

m = 0.1

b = 5

Step-by-step explanation:

The equation is set up in point-slope form (y = mx + b).

y = mx + b

y = 0.1x + 5

3. The human body is
made up of about
18.5% carbon. What
part of Dr. Brooks
weight is not carbon if
he weighs 210 pounds?

Answers

Answer:

Step-by-step explanation:

Dr Brooks weights 210 lbs

18.5 % is carbon

210*(18.5/100)=38.85

the part that is NOT carbon is

210-38.85=171.18 lbs

what is the slope of the graph​

Answers

60 to 0 is a slope of the graph

Answer:

Y=60,X=2,5

Step-by-step explanation:

What is the solution set for the inequality

Answers

Answer:

A solution set is the set of values which satisfy a given inequality. It means, each and every value in the solution set will satisfy the inequality and no other value will satisfy the inequality.

Please help; stuck on this one...

Answers

Answer:

y = -3x + 4

Step-by-step explanation:

HELP! what is 1.278 and 1.281 and 1.284 from least to greatest

Answers

Answer: 1.278, 1.281, 1.284

Step-by-step explanation:

PLEASE HELP
I NEED BOTH PARTS!

Answers

I think it’s b but don’t take my word for it

Can somebody plz answer this math problem correctly thanks!

WILL MARK BRAINLIEST :DDD

Answers

about 75% of the population lives outside of Quebec
3/4 = 75 percent live outside of Quebec

Explanation : 1/4 is 25 percent and if 1/4 out of 4/4 or 100 percent lives in Quebec then 3/4 live out of Quebec and 3/4 is equal to 75 percent.

The quotient of a number increased by 9and 4 is -2 TRANSLATE DO NOT SOLVE please answer I really need this

Answers

Answer: From your questions it's stand like factors of that Number so it is one

3=1

5/9=1

4=1,2

Addition point

Quotient is the number remained after divident is divided by divisor

Step-by-step explanation:

Tyson has a collection of 60 sports ribbons. Of these ribbons, 30% are first place ribbons, 45% are second place ribbons, and the rest are third place ribbons. How many third place ribbons are in Tyson’s sports ribbon collection?
15
27
32
18
give me a serious answer or I will report you and your account will be deleted

Answers

The answer is 15.

30% of 60 = 18
45% of 60 = 27
27 + 18 = 45
60 - 45 = 15

1) Una fábrica necesita 10 horas de trabajo por persona para producir un ventilador (x) y 15 horas de trabajo por persona para producir un aparato de aire acondicionado (y). Si la fábrica produjo en conjunto 20 ventiladores y aparatos de aire acondicionado en el transcurso de 260 horas, ¿cuántos de estos productos fueron ventiladores? *​

Answers

Answer:

20

Step-by-step explanation:

20x1

=20

10+10

=20

15+5

=20

Answer:

¿Qué trabajo te interesa más? ¿Por qué?

ACADEMIA DE IDIOMAS busca profesor de inglés. Se requiere diploma y experiencia mínima de. Horas flexibles. Escribir a

ZOOLÓGICO necesita persona responsable para cuidar y dar de comer a los animales. Debe ser paciente y enérgica. Llamar  

EMPRESA DE TRANSPORTE necesita conductores de camiones con conocimientos básicos de mecánica. Posibilidad de trabajar tiempo completo.  peluquera con experiencia. Se requiere una persona simpática, creativa e interesada en la moda.Calle de las Terrazas, Cuzco.

 

Step-by-step explanation:

Perhatikan pola bilangan berikut:2,-6,18,-54,162,...​

Answers

Answer:

no comprehendo

Step-by-step explanation:

help please? i am a little bit confused

Answers

d: 1.25

c: .035

b: .70

a: .23

these are just my guesses but if there right then I hope this helps. I don't know it but these are my best affiliations.

Someone pls help this is due in a bit

Answers

The answer is 3.814 but if you wanna round to the nearest hundredth then it’s 3.81

a 95 inch board is cut into to pieces. one piece is four times the length of the other. Find the length of the shorter peice

Answers

Answer:

50

Step-by-step explanation:

A federal agency mailed a survey to 35% of the households in Chicago, New York, Los angeles, and Miami and found that 60% of the people surveyed had commute times over one hour. So, they concluded that 60% of all Americans have commute times over one hour.

Which of the following statements is correct?

A. This method of sampling can be considered both biased and unbiased

B. This method of sampling is neither biased nor unbiased

C. This method of sampling is biased

D. This method of sampling is unbiased ​

Answers

This method of sampling is neither biased nor unbiased
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