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

4.A trapezoid with a perimeter of 30 units is
graphed on a coordinate grid. The trapezoid is
dilated by a scale factor of 0.3 with the origin as the
center of dilation. If (x,y) represents the location of
any point on the original trapezoid, which ordered
pair represents the coordinates of the corresponding
point on the resulting trapezoid?
A. (30x, 30y)
B. (X - 0.3, y +0.3)
C. (0.3x, 0.3y)
D. (x + 0.3, y +0.3)

Answers

Answer:

It would be (x0.3,y0.3). C is the answer

Step-by-step explanation:

Because if you actually read it, it already gave you the answer which is the scale factor of 0.3

so that would lead to (x0.3,y0.3)

Solve algebraically for x:
3600 + 1.02x < 2000 + 1.04x

Answers

Answer:

Let's solve your inequality step-by-step.

3600+1.02x<2000+1.04x

Step 1: Simplify both sides of the inequality.

1.02x+3600<1.04x+2000

Step 2: Subtract 1.04x from both sides.

1.02x+3600−1.04x<1.04x+2000−1.04x

−0.02x+3600<2000

Step 3: Subtract 3600 from both sides.

−0.02x+3600−3600<2000−3600

−0.02x<−1600

Step 4: Divide both sides by -0.02.

−0.02x

−0.02

<

−1600

−0.02

x>80000

Step-by-step explanation:

Convert 625 to Scientific notation

Answers

Answer:

6.25 x 10^2

Step-by-step explain:

625 could be 6.25 and you move the decimal 2 times to the right.

The scientific notation is 6.25 x 10^2

What is the domain of f(x)=
10x1-(4)
?

Answers

Answer:

Domain:(−∞,∞),{x|x∈R}

Step-by-step explanation:

p l e a s e h e l p a s a p:) will mark brainliest and answer any q if correct:))

Answers

Answer:

last one

Step-by-step explanation:

A 10 meter piece of wire is cut in to two pieces. One piece is 2 meters longer than the other. How long are the pieces?​

Answers

Answer:

Step-by-step explanation:

total metre = 10m

If one piece is 4m then 2m more then that = 4 + 2 = 6m

So total = 4 + 6 = 10m

Whats the answer to -6(12p - 8n) in distributive Property?

Answers

Answer:

−72p+48n

Step-by-step explanation:

answer the question correctly for good luck

If ‘c’ is directly proportional to‘d’ and c = 24 when d = 4

Find an equation connecting ‘c’ and ‘d’

Find ‘c’ when d = 8

Find ‘d’ when c = 54

Answers

Answer:

The equation connecting c and d is: c = kdThe value of c when d=8 is: 48The value of d when c=54 is: 9

Step-by-step explanation:

Proportion can be defined as the effect of changing one quantity on the other.

Given that

‘c’ is directly proportional to‘d’

It can mathematically be written as:

c∝d

A constant is introduced in the equation when the proportionality symbol will be removed. The constant is called constant of proportionality

[tex]c =kd[/tex]

Given that

c = 24 when d = 4

Putting the values

[tex]24 = k(4)\\k = \frac{24}{4}\\k = 6[/tex]

Putting the value of k

[tex]c = 6d[/tex]

Putting d = 8

[tex]c = 6(8) = 48[/tex]

Putting c = 54

[tex]54 = 6d\\d = \frac{54}{6}\\d = 9[/tex]

Hence,

The equation connecting c and d is: c = kdThe value of c when d=8 is: 48The value of d when c=54 is: 9

Can you help me please?

Answers

Answer : Multiplication


Explanation: you gotta multiple the numbers in the parentheses

Answer:

Exponent - Division - Multiplication - Addition - Subtraction

In this soccer season Emma has scored one more than twice the number of Nikki's goals if Emma has scored 15 goals which equation can be used to find X number of goals

Answers

Answer:

[tex]X = 22[/tex]

Step-by-step explanation:

Given

Represent Emma with E and Nikki with N

From the question, we have that:

[tex]E = 1 + 2N[/tex]

and

[tex]E = 15[/tex]

Required

Determine the X number of goals

Substitute 15 for E in [tex]E = 1 + 2N[/tex]

[tex]15 = 1 + 2N[/tex]

Subtract 1 from both sides

[tex]15 -1 = 1 - 1 + 2N[/tex]

[tex]14 = 2N[/tex]

Divide both sides by 2

[tex]\frac{14}{2} = \frac{2N}{2}[/tex]

[tex]\frac{14}{2} = N[/tex]

[tex]7 = N[/tex]

[tex]N=7[/tex]

This implies that Nikki scored 7 goals in total

The X number of goals is then calculated as:

[tex]X = N + E[/tex]

[tex]X = 7 + 15[/tex]

[tex]X = 22[/tex]

Evaluate x+y when x= −4/5 and y= 1/3. Write your answer as a fraction or mixed number in simplest form.

Answers

Answer:

-7/15

Step-by-step explanation:

=-4/5 + 1/3

=(-12+5)/15

=-7/15

Answer:

-7/15

Explanation:

x + y

-4/5 + 1/3

-12/15 + 5/15

= -7/15

match each fraction with the equivalent expressions plz help
-2 divided by 10
10 divided by -2
1 divided by 5
5 divided by 1 so which on matches each one

5/1
-2/10
10/-2
1/5

Answers

-2 divided by 10

-2/10

10 divided by -2

10/-2

1 divided by 5

1/5

5 divided by 1

5/1

f(x) = (1/6)^x for x =3

Answers

Answer:

1/216 is the answer hope it's right

Find the GCF of 36 and 4.

Answers

Answer:

4

Step-by-step explanation:

4 is the greatest number that goes into 36 and 4.

Answer:

4

Step-by-step explanation:

Calculate the prime factors of 4 and 36, then find the greatest common factor.

Answer is 4.

name something in your everyday life or something that you watch for entertainment (Like sports...) that involves understanding proportional relationships

Answers

Answer:

One thing that I watch almost everyday that can help me understand proportional relationships is ads after I've watched an important event of the show. For example, I've just watched a good episode of {Show Name} and an ad about Shoprite appears. A graph, with a red line shows you how many people prefer to go to their shop than Walmart. They put their numbers in bigger numbers, making it seem that a lot of people go there compared to Walmart, so it must be good. This involves understanding proportional relationships because it shows how many people show up to Shoprite in {number of weeks}. So, the more weeks that Shoprite shows their ad, that more people come in that week.

Step-by-step explanation:

You have to think about x and y axis, and compare it to real life situations. For example, You're pouring gas into your car. The x axis is how many gallons of gas you poured in and the y is how much money you spent. The more you pour in gallons of gas, the more money you spend.

So, now all you have to do it compare it to something you do everyday.

Please don't copy this, we are in the same class. :(

the perimeter of a rectangle is 8x+10. if the length is 2x+8 what is the width?

Answers

Answer:

Step-by-step explanation:

8x+10 - 4x+16 = 4x-6

w= 2x-3

Find two numbers with sum 82 and difference 30.

Answers

Answer: I think it would be 112.

Step-by-step explanation:

Write the equation of the line that is parallel to the graph of Y= 1/2x + 6 ,and whose y-intercept is -2. ​

Answers

Answer:

y= -2x-2

Step-by-step explanation:

PLEASE ANSWER I WILL GIVE BRAINLIEST

Answers

Answer:

24/32

Step-by-step explanation:

just multiply the bottom number until 32 the as much times you multiplie the denominator that how much times you multiplie the numerator

Answer:

6:8 = 24:32

Step-by-step explanation:

What is the value of x in the equation 3(x + 10) = 4(x − 2)?

Answers

Answer:

3x+30=4x-8

-x=-38

x=38

Final Answer: [tex]x = 38[/tex]

Steps/Reasons/Explanation:

Question: What is the value of x in the equation [tex]3(x + 10) = 4(x - 2)[/tex]?

Step 1: Expand.

[tex]3x + 30 = 4x - 8[/tex]

Step 2: Subtract [tex]3x[/tex] from both sides.

[tex]30 = 4x - 8 - 3x[/tex]

Step 3: Simplify [tex]4x - 8 - 3x[/tex] to [tex]x - 8[/tex].

[tex]30 = x - 8[/tex]

Step 4: Add [tex]8[/tex] to both sides.

[tex]30 + 8 = x[/tex]

Step 5: Simplify [tex]30 + 8[/tex] to [tex]38[/tex].

[tex]38 = x[/tex]

Step 6: Switch sides.

[tex]x = 38[/tex]

~I hope I helped you :)~

what is the geometric mean of
9 and 12
16 and 25
7 and 11

Answers

Answer:

Step-by-step explanation:

9 and 12   GM=[tex]\sqrt{9*12}[/tex]=10.39

16 and 25  gm=[tex]\sqrt{16*25}[/tex]=[tex]\sqrt{400}[/tex]=20

7 and 11    GM=[tex]\sqrt{7*11}[/tex]=8.77

Answer:

6sqrt(3)

20

sqrt(77)

Step-by-step explanation:

x is the geometric mean of a and b if the following equation is true.

a/x = x/b

9 and 12

9/x = x/12

x^2 = 9 * 12

x^2 = 108

x = sqrt(108)

x = 6sqrt(3)

16 and 26

16/x = x/25

x^2 = 16 * 25

x^2 = 400

x = 20

7 and 11

7/x = x/11

x^2 = 7 * 11

x = sqrt(77)

moving company rents moving trucks for $20 plus $0.19 per mile. Suppose a customer’s total bill for renting a truck comes to $34.06. How many miles did the customer drive? Write an equation and explain how you used it to find your answer.​

Answers

Answer:

34.06=20+0.19m

Step-by-step explanation:

The 20 dollars is a one-time thing so we don't need a variable for that. The 0.19 per mile does because the cost will depend on how many miles you drove (I used the variable 'm' but you could use a different letter). Altogether the bill costs 34.06 so that will go on the opposite side of our equal side.

34.06=20+0.19m

First we need to isolate 0.19m to find the number of miles the customer drove, and we can do that by subtracting 20 on each side.

34.06-20=20-20+0.19m

14.06=0.19m

Now we divide 0.19 because 0.19 is multiplied to m and division is the opposite operation

m=74

This means that the customer drove 74 miles.

Selena is baking chocolate chip cookies. The recipe calls for 2 1/3 cups of semi-sweet chocolate chips. If she has already put in 1 1/2 cups into the batter , how many more cups of chocolate chips should be added to the batter?​

Answers

Answer:

5/6

Step-by-step explanation:

If you minus 1 1/2 from 2 1/3 you get 5/6 left.

Please mark brainliest.

5/6 cups of more chocolate chips should be added to the batter.

Given that, the recipe calls for [tex]2\frac{1}{3}[/tex] cups of semi-sweet chocolate chips. Selena has already put in [tex]1\frac{1}{2}[/tex] cups into the batter.

What is a fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Number of more cups of chocolate chips should be added to the batter = [tex]2\frac{1}{3}-1\frac{1}{2}[/tex]

= 7/3 - 3/2

= 14/6 - 9/6

= (14-9)/6

= 5/6

Therefore, 5/6 cups of more chocolate chips should be added to the batter.

To learn more about the fractions visit:

https://brainly.com/question/10354322.

#SPJ5

3x– 2y = -3
y = 7 - 4x
Resolver por sustitución

Answers

Answer:

y= 3/2x+3/2 btw add these and that is your answer then y=-4

Step-by-step explanation:

j(h − 9) 3+ 2; use h = 9, and j = 8 -2-

Answers

dfccxxcccvvv
ggcccgirafffeee

PLS HELP ILL GIVE BRAINLIEST WHOEVER ANSWERS PLS :(

Answers

Answer:

stem: 5

leaf: 0, 6

stem: 6

leaf: 0, 2, 5, 6

stem: 7

leaf: 1, 5

stem: 8

leaf: 6

stem: 9

leaf: 9

i hope this helps <3

Step-by-step explanation:

convert y+1= 6/11(x+11) to slope-intercept

Answers

Answer:

need more info

Step-by-step explanation:

plz comment so i know

Answer:

y = 6/11x + 5

Step-by-step explanation:

y + 1 = 6/11 (x + 11)

distribute 6/11

y + 1 = 6/11x + 6

  - 1              - 1

y      = 6/11x + 5

Hope this helps!!

Also, mark me brainliest thank you!!!

In case you don't know how click the crown at the bottom of this answer next to the comments button.

One of the base angles of an isosceles triangle is 40°. Which is the triangle classification according to its
angles?
A. acute
B. right
C! obtuse
D. equiangular
Please help

Answers

Answer:

C. Obtuse

Step-by-step explanation:

Consider a political discussion group consisting of 8 ​Democrats, 4 ​Republicans, and 2 Independents. Suppose that two group members are randomly​ selected, in​ succession, to attend a political convention. Find the probability of selecting no Democrats

Answers

Answer:

The probability is 30/182

Step-by-step explanation:

The total number of people to select from is

8 + 4 + 2 = 14

We want to select two who are not democrats

Probability of selecting first one who is not a democrat will be 6/14

Probability of selecting a second who is not a democrat will be 5/13

So the probability of the two not being democrats will be 6/14 * 5/13 = 30/182

Use the GCF and the distributive property to find the expression that is
equivalent to 32 + 56.
A. 4(8 + 14)
B. 8(4+8)
C. 8(4 + 7)
D. 2(16 + 28)

Answers

Answer: a

Step-by-step explanation:

When you multiply 4 and 8 together you get 32. When you multiply 4 and 14 ypu get 56

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