Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Rita is making greeting cards, which she will sell by the box at an arts fair. She paid $24 for a booth at the fair, and the materials for each box of cards cost $3. She will sell the cards for $11 per box of cards. At some point, she will sell enough cards so that her sales cover her expenditures. How much will the sales and expenditures be? How many cards will that take?

Answers

Answer 1

Step-by-step explanation:

we need to find the number n of sold boxes, so that the income (sales) and costs (expenditures) are equal. this is called the break even point. any more boxes sold will then result in a profit, actually gaining money. and if she cannot reach that number of sold boxes, then she will make a loss.

so,

n×11 = n×3 + 24

n×8 = 24

n = 3

it will take 3 sold boxes of cards to break even.

at that point she will have spent $24 + 3×$3 = $33, and her sales will be 3×$11 = $33.


Related Questions

My little sister need help with this problem. Annabelle arranged her 42 building blocks into 3 rows of 14 blocks. Then, she rearranged them into 6 rows of 7 blocks. What two other factor pairs could Annabelle use to help her rearrange the blocks again?
Explain your answer using complete sentences.

Answers

Annabelle could arrange her blocks in one row of 42 building blocks as 1 times 42 = 42.

She could also arrange her blocks in 2 rows of 21 blocks because 2 times 21 is also 42.

Answer:

21 rows and two Blocks

1 row 42 Blocks

Step-by-step explanation:

Number of blocks with Annabelle = 42

First arrangement = 3 rows 14 blocks

Second arrangement = 6 rows 7 blocks

Solution

The other two factor pairs that could be used to rearrange the blocks again?

Solution:

Here, we will have to find the factor pairs of total number of blocks present with Annabelle.

i.e. 42

First of all, let us have a look at the factor pairs of 42.

Therefore, the other two factor pairs can be 2, 21 and 1, 42.

The other two possible factor pairs are:

21 rows 2 blocks

1 row 42 blocks

pls help me I need this last question ⁉️
[tex]46 + \frac{3}{7} \times = [/tex]

Answers

Answer:

[tex] \sf 46 \frac{3}{7} [/tex]

Step-by-step explanation:

[tex] \sf = 46 + \frac{3}{7} [/tex]

[tex] \sf = 46 \frac{3}{7} [/tex]

or

[tex] \sf = 46 + \frac{3}{7} [/tex]

[tex] \sf = \frac{46}{1} + \frac{3}{7} [/tex]

[tex] \sf = \frac{322}{7} + \frac{3}{7} [/tex]

[tex] \sf = \frac{325}{7} [/tex]

[tex] \sf = 46 \frac{3}{7} [/tex]

Answer:

325/7

Step-by-step explanation:

refer to the attachment

hope it helps

Use the Distributive Property to write each expression as an equivalent expression. Then evaluate it.


7(7 – 9)
Question 15 options:

Answers

Answer: The answer is 40.

Step-by-step explanation: 7(7-9) when you use distributive property you will use the 7 outside the parenthesis. Multiply the property inside. then you will get 49-9. Then you will solve it and get the answer 40.

how many miles did Candice bike on her route?

Answers

Answer:

200miles per hour andv50 9

The Pie Problem!

Question: The Morgans had pumpkin pie for their Thanksgiving dessert.

The mom ate 1/4 of the pie. The dad ate 2/3 of what was remaining after the mom ate

her portion. The daughter ate 1/2 of what was remaining after the dad ate his portion

How much of the ple is left after the daughter ate her portion?

Answers

Answer:

1/12

Step-by-step explanation:

find the least common multiple of the denominators.

which is 12

so 1/4=3/12

2/3=8/12

1/2=6/12

so 3/12- 8/12 - 6/12 = -11/12

so there is 1/12th pieces left after they all ate their portions of the pie

pls Round 2.382 to the nearest hundred

Answers

If 2.383 is rounded to the nearest hundred the answer is 2.38

[tex]\huge\bold\blue{2.38}[/tex]

Explanation:

2 - ones

. - decimal point

3 - tenths

8 - hundredths

2 - thousandths

8 is the digit in the hundredths place

look at the number on its right (which is 2)

if: < 5, just copy the number until the nearest hundredths.

if: > or = 5, add 1 to the hundredths then copy the number until the nearest hundredths

3 t-shirts cost £25.95.
How much do 10 t-shirts cost?

Answers

Answer:

£86.50

Step-by-step explanation:

To find how much 10 t-shirts cost we have to find how much they cost individually.

3 T- Shirts / 25.95 = 8.65 which means that each T-Shirt Costs 8.65.

8.65 x 10 T-Shirts = £86.50

Help me please people it’s the last question

Answers

Answer:

1 m³

Step-by-step explanation:

first find volume of smaller cubes

V = lwh

S = 1/3*1/3*1/3

S = 1/27

find volume of large cube. there are 27 smaller cubes.

V = 27S

V = 27(1/27)

V = 1

S: volume of small cube

V: volume of large cube

I did it on the page so that you understand

On a sunny day Josée's shadow
is 2.9 m long, while the shadow
of a tower is 11.3 m long. If
Josée is 1.8 m tall, calculate
the height of the tower.

Answers

Answer:

sorry I don't know the answer to this question

Seventeen bicycles are produced each hour at the Speedy Bike Works. Show that the relationship between the number of bikes produced and the number of hours is a proportional relationship. Then enter an equation for the relationship, using x as the variable that represents the number of hours.

the two quantities are ____.

a.equal.
b.no equal.

The relationship ____.

a.is.
b.is not.​

Answers

Answer:

17

34

17

17

equal

is

y = 17x

Step-by-step explanation:

After 1 hour , 17   bicycles are produced

After 2 hours, 34 bicycles are produced

Ratio of bikes produced per hour after one hour is

= no. of bikes produced after 1 hr / no of hours

= 17 / 1 = 17

Ratio of bikes produced per hour after two hours is

= no. of bikes produced after 2 hrs / no of hours

= 34 / 2 = 17

a. equal

b. is

equation of y is

no of bikes produced = (rate/ hour) * no of hours

y = 17 * x

what is x(14+2)5 please help me​

Answers

Answer: 80x

Step-by-step explanation:

1. add the numbers 14+2=16 (=x(16)(5)_)

2. Multiply the numbers 16(5) = 80 (=X(80) = 80X)

write a subtraction sentence where the difference is negative use a positive and negative integer ​

Answers

Answer:

Examples:

-5 - 2

-4 - 1

-8 - 6

Basically, the negative integer should be first with the higher greater absolute value.

Step-by-step explanation:

Answer:

-7-(-6)

Step-by-step explanation:

=-1.

it contains a positive and negative integer


Mario's plumbing company charges a flat fee of $40 to make a
house call, plus $25 per hour.

(a) Write an equation that describes the situation in slope-intercept form and explain what the x- and y-values represent.

(b) Graph the situation on a coordinate plane assuming the domain is all real numbers.

(c) What does the y-intercept mean?

Answers

Answer:

Step-by-step explanation:

y = mx + b

m = $25 and b = $40

(a). y = 25x + 40 , where x-value is hours of work and y-value is total amount of money consumer will pay.

(c). The y-intercept is a flat fee.

Sara was asked by Mr. Rocha to solve the equation below. − 3 x = y + 51 What is the value of x when y has a value of − 9 ?

Answers

Answer:

x = - 14

Step-by-step explanation:

Given equation

-3x = y + 51

Putting the value of y

-3x = -9+51-3x = 42x = - 42/3x = - 14

Hope it's helpful!

ᔕEᒪEᑎᗩ328

The value of x for the given equation -3x = y + 51 such that the value of y is -9 will be -14.

What is the equation?

An equation is said to be linear if the maximum power of the variable is consistently unity.

More than one variable may be present inside a linear equation.

A formula known as an equation uses the same sign to denote the equality of two expressions.

As per the given equation,

-3x = y + 51

At y = -9

-3x = -9 + 51

-3x = 42

x = -14

Hence "The value of x for the given equation -3x = y + 51 such that the value of y is -9 will be -14".

For more about the equation,

brainly.com/question/10413253

#SPJ2

HELP!!!!!!!!!!!!!!!!!

Answers

Answer:

Not possible

Step-by-step explanation:

R : 2 row x 3 column

P: 2 row x 2 column

column of first matrix (R) is not equal to the row of 2nd matrix

R*P : not possible

the length of a rectangle is 5 less than 2 times its width, if the perimeter is 86ft, what is the length and width of the rectangle. Write and solve the equation

Answers

Answer:

Width: 16

Length: 27

Step-by-step explanation:

Let x be the width of the rectangle.

The length would then be 2x - 5

The perimeter is:

2x - 5 + x + 2x - 5 + x =

6x - 10 = 86

Solve.

6x = 96

x = 16

Thus,

Width: 16

Length: 27

PLEASE PLSASE ANSWER THIS

Answers

Answer:

a = 57.5

b = 57.5

Step-by-step explanation:

XY=XZ so c=d

[tex]c = d = \frac{180 - 65}{2} = 57.5[/tex]

Now draw the XH

So angle YXH = 180 — 90 — 57.5 = 32.5

a+YXH=90

a+32.5=90

so a = 57.5

We know that a + 65 + b = 180

So 57.5 + 65 + b = 180

b = 180 — 122.5

b = 57.5

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

[tex] \fbox \colorbox{black}{ \colorbox{white}{a} \:  \:  \:   \:  \:  \:  \: \: \colorbox{white}{=}  \:  \:  \:  \:  \:   + \colorbox{white}{57.5 \degree}}[/tex]

[tex]\fbox \colorbox{black}{ \colorbox{white}{b} \:  \:  \:   \:  \:  \:  \: \: \colorbox{white}{=}  \:  \:  \:  \:  \:   + \colorbox{white}{57.5 \degree}}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

From the above diagram we can conclude that ~

Angle c = Angle a (Alternate interior Angle pair)

Angle d = Angle b (Alternate interior Angle pair)

and,

Angle c = Angle d

because their opposite sides are equal.

now, according to linear pair property ~

Angle a + Angle b + 65° = 180°

replacing Angle a with Angle c and Angle d with Angle b, because they are equal to one another ~

Angle c + Angle d + 65° = 180°

2 × Angle c = 180° - 65°

(because Angle c = Angle d)

2 × Angle c = 115°

Angle c = 115° ÷ 2

Angle c = 57.5° = Angle d

So,

Angle a = Angle c = 57.5°

Angle b = Angle d = 57.5°

the ratio of white marbles to black marbles is 7 to 10. if there are 136 marbles in the bag how many marbles are white?

Answers

Answer:

White Marbles: 56

Step-by-step explanation:

Let number of white marbles be x

7/10=x/136-x

10x=7(136-x)

10x=952-7x

17x=952

x=56

Answer:

56

Step-by-step explanation:

7/17 * 136 = 56.

whats 50 times 100 the answer

Answers

Answer: 50 * 100 = 5000

Step-by-step explanation:

a simple way of multiplying numbers that are a 1 with zeros is by simply moving the zeros from that number to the other number

100 has 2 zeros, so you ad them to the 50. 50 with 00 is 5000

Answer: 5O x IOO = 5OOO

Step-by-step explanation:

5OOO, think of it like 5 x 1, 5 x 1 = 5, now add 3 zero’s since there are 3 zeros.

PLEASE HELP! I WILL GIVE BRAINLIEST <3

A regulation football field is 300 feet by 160
feet, with 30 foot end zones at either end of
the longer side. What is the distance from the
back corner of one end zone to the opposite
front corner of the other, as denoted by the
dashed line in the picture to the left?

Answers

Answer:

10 <3

Step-by-step explanation:

Answer:

340ft

Step-by-step explanation:

So this is just the Pythagoren Theorem. a^2+b^2=c^2

340ft

Assume your phone bill averages $165 a month and you have a car payment that is $505 per month. You also spend about $150 a week on food. How much are your monthly expenses?

Answers

Answer:

1270 a month on expenses

Answer:

1270 a month

Step-by-step explanation:

There is 4 weeks for month so you multiply 150 x 4 = 600 and just add 165 and 505 which is equal to 1270

Please help!!!!!!!!!!!!!!!

Answers

Answer:

Y+5=2/3(x-4)

Step-by-step explanation:

since the slope is 2/3, it should be in the right side of the equal sign, its passing thru (4,-5) thus it being Y+5=2/3(x-4)

Please answer
It’s Pythagoras btw
ASAP

Answers

Answer:

X=11.979425

Step-by-step explanation:

Divide 7.3 and 5.5 which gives you 1.327272… Then, divide 15.9 by 1.3272727


convert the following measurements into
the indicated units

1.) 100 m^2

– as ft^2


2.) 2 km _____ ft

3.)2,057 grams - as kg


4.) 1.25 × 10-7 meters - as µm


5.) 6.58 × 104 meters - as km


6.) 2.78 × 10-1 grams - as mg

Answers

Answer:

1) 1076.4ft^2

2). 6561.68ft

3). 2.057kg

4). 1.25×10^-1

5). 6.58×10^1km

6). 278mg

help me or no branlest​

Answers

Answer:

48 * 70% or use 48 * 0.7

Simplify.

3.4 + (–6.3)


–9.9


–2.9


2.9


9.9

Answers

2.9 -2.9 -9.9 there hope I help

__% of 4 is 7
hellpp

Answers

Answer:

175 %

Step-by-step explanation:

x % of 4 = 7

[tex]\dfrac{x}{100}*4 = 7\\\\\\x = 7*\dfrac{100}{4}\\\\x = 7*25\\\\x = 175[/tex]

Helppp me Please!! i beg

Answers

Answer:

The  answer would be -16

Step-by-step explanation:

Add

5

What is the equation of this line in standard form?

A: 9x−8y=23

B: 8x−9y=23

C: 8x−9y=−23

D: 8x−7y=−25

Answers

Answer:

B:8x-9y=23

Step-by-step explanation:

First find the slope:

m= y2-y1/x2-x1

y2 is 3

y1 is -1

x2 is 1/2

x1 is -4

3-(-1) is 4

1/2-(-4) is 9/2

Now the equation looks likes this:

4 / 9/2

Which can be rewritten as

4*2/9

Thus the slope is 8/9

So the equation is

y=8/9x+b

Now you can substitute to find the y-intercept:

(you can do either (-4,1) or (1/2,3)

I am going to do (1/2,3) since it is easier

3=8/9(1/2)+b

Simplify:

3=4/9+b

Subtract 4/9 on both sides:

b=23/9

Thus the equation is

y=8/9x+23/9

Multiply 9 on both sides:

9y=8x+23

Subtract 8x on both sides:

8x-9y=23

Hope this helps!

Hiya! I need help i bet it says im in high school but im in middle school can you tell me what percent of 25 is 20 in middle school

Answers

Answer:

25 percent of 20 is 5 percent

Answer:

Step-by-step explanation:

percentage:

80%

messed up saying it was 125% so say thanks to the person who commented below mine-

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