Matilda is selling hand-painted vases at a craft fair. She will
have to pay $200 to rent a booth at the fair. The cost of the
paint and other materials to create each vase is $5.50. She is
going to sell each vase for $14.00.
Part 1. Write an inequality to represent the situation in which
Matilda makes a profit. You must define any variable(s) you
use.
Part 2. How many vases must Matilda sell to make a profit?
Explain your reasoning.

Answers

Answer 1

Answer:

14x>200+5.5, She must sell 15 or more vases

Step-by-step explanation:

14x>200+5.5

14x>200+5.5

14x>205.5

x>14.68*

She must sell 15 or more vases

*You round up because you cannot sell a partial vase

Answer 2

Answer:

14v > 200 + 5.50v, she will have to sell 24 vases to make a profit

Step-by-step explanation:

It costs $5.50 PER VASE for materials, so you would subtract this from what she sells each vase for. 14 - 5.50 = 8.50. She makes an $8.50 profit per vase sold. We can write 8.50n > 200 to show her profit margin minus the booth fee. If she sold 24 vases, she would be making a profit and this would represent the lowest amount of vases she can sell to make a profit. We can write the inequality 24 ≤ n to show that she can sell 24 vases or more to make a profit.

14n > 200 + 5.50n

336 > 332, true

n > 23

Hope This Helps!


Related Questions

What is the value of n in (17 × 25) × 4 = n × (25 × 4)?
Answer:

n= 17

Step-by-step explanation:

17×25 = 425

425×4= 1700

25×4=100

1700÷100= 17

Answers

Answer:

Step-by-step explanation:

(17×25)×4=n×(25×4)

or 17×(25×4)=n×(25×4)  

17=n

∵ (a×b)×c=a×(b×c) [by associative law of multiplication.]

Does the equation: -x + 6y = -7 represent direct variation?

Answers

Answer:

The equation -x + 6y = -7 does not represent direct variation.

Step-by-step explanation:

The form of the linear equation is y = m x + b, where m is the slope of the line which represents the equation and b is the y-interceptThe direct variation is a linear relation, and represented graphically by a line passes through the origin, which means the y-intercept is (0. 0), then (b = 0)The equation of the direct variation is y = m x

Let us solve the question

∵ The equation is -x + 6y = -7

→ Substitute x by 0 to find the value of y-intercept

x = 0

∴ 0 + 6y = -7

∴ 6y = -7

- Divide both sides by 6 to find y

y = [tex]-\frac{7}{6}[/tex]

∴ The y-intercept of the equation is (0, [tex]-\frac{7}{6}[/tex] )

∵ The y-intercept of the direct variation is (0, 0)

The equation -x + 6y = -7 does not represent direct variation.

help me with this homework

Answers

Answer:

r = 0

Step-by-step explanation:

-32r + 8 = -8r + 8

-32r + 8r = 8-8

-24r = 0

divide both sides by -24

then the answer will be -- r = 0

Answer:

0

Step-by-step explanation:

Tucker is painting his pool deck over the weekend. The area of the deck is 76 1/2
square meters. He paints 2/3 of the deck before stopping to eat lunch. How many square meters does Tucker have left to paint after lunch?

Answers

Answer:

25 1/2 square meters remaining

Step-by-step explanation:

Total area of the pool deck=76 1/2 square meters

He painted 2/3 of the deck before stopping for lunch

Total painted=2/3 of 76 1/2

=2/3*153/2

=306/6

=51 square meters

Total remaining=Total area - total painted area

=76 1/2 - 51

=153/2 - 51

=153-102/2

=51/2

=25 1/2 square meters remaining

Which of the following results in the expression 0.86 x 22?

Answers

Answer: 18.92

Step-by-step explanation: Multiply  

22 by  0.86

Answer:

18.92

Step-by-step explanation:

Multiply 0.86 times 22

Solve. 5= 2M minus B divided by M plus b for b
PLEASE HELP :(

Answers

Divide both sides of the equation by the same term
5
=
2

5
=
2
M
5=2M
5
2
=
2

2
5
2
=
2
M
2
25​=22M​


5=2

Juan has a piano recital next month. Last week he practiced for 12 hours in the morning and 14 hours in the afternoon. Each practice session is 3 hours long. How many full practices did Juan complete

Answers

Answer:

8 full practice

Step-by-step explanation:

Given that :

Morning Practice hours Total = 12 hours

Afternoon practice hours total = 14 hours

practice length = 3 hours

Hence, Number of full practices attended :

practice hours / practice length

Morning : 12 / 3 = 4 practice sessions

Afternoon = 14 / 3 = 4.666 sessions

Hence, number of full practice completed = 4 + 4 = 8

Answer:

hope this helps .enjoy the rest of your day.

Which answer choice shows 15.067 rounded to the nearest hundredth?
A. 15.07
B. 15.06
C. 15.1
D. 15.0

Answers

A. 15.07 you’re welcome!

Name the property of operations illustrated by each statement.
a. 11.1+0=11.1
b. 6(2.7+4)=6(4+2.7)
1 2 1 22 c. 3 1 = 3311
( ⋅ )⋅ ⋅(( ⋅ ))
2
3 2 33
d. 18+(−18)=0

Answers

Answer:

The answer is B

Step-by-step explanation:

All they did was switch the numbers and if you use distribution it will be equal.

James was able to correctly 11 major highways, 4 mountains, 86 major cities, and 9 bodies of water on a map. How many places on the map did James identify? Explain how you can use compatible numbers to help calculate the sum.

Answers

Answer:

The number of places correctly identified is 110 places

Step-by-step explanation:

The number of places he correctly identified will be;

11 + 4 + 86 + 9 = 110 places

By using compatible numbers, we refer to the fact that she use an estimate by making sure each of the numbers are closer to the nearest 10th or 5

so 4 will be 5

11 will be 10

86 will be 85

9 will be 10

Adding all of these together, we have

5 + 10 + 85 + 10 = 110

100 percent as a fraction in simplest form.

Answers

Answer:

1/1

Step-by-step explanation:

100/100=1/1=1

Answer:

Step-by-step explanation

1/10 would be the answer

As a fraction it would be 1/100 but simplified it will be 1/10

la siguinete tabla mustran la correspondencia entre dos variables. Determina si es funcion o relacion

Answers

Answer:

where's the table. on és la taula?

Step-by-step explanation:

whats the slope of (-1,4) and (-2,5)

Answers

Answer:

m=-1

Step-by-step explanation:

Answer: m = -1

Step-by-step explanation: Use the slope formula to find the slope m.

A photo collage consists of seven equal-sized square photos arranged in a row to form a rectangle. If the total area of the collage is 567 square inches, what is the length of the collage? __ inches

Answers

Given:

Seven equal-sized square photos arranged in a row to form a rectangle.

Total area of the collage is 567 square inches.

To find:

The length of the collage.

Solution:

Let the side of each square be x inches.

Seven equal-sized square photos arranged in a row to form a rectangle.

So, length of rectangle is 7x and width is x.

Area of rectangle is

[tex]Area=Length\times width[/tex]

[tex]567=7x\times x[/tex]

[tex]567=7x^2[/tex]

[tex]\dfrac{567}{7}=x^2[/tex]

[tex]81=x^2[/tex]

Taking square root on both sides, we get

[tex]x=\pm \sqrt{81}[/tex]

[tex]x=\pm 9[/tex]

Side cannot be negative. So, x=9 inches.

Now,

Width = 9 inches

Length = 7(9) = 63 inches

Therefore, the length of the rectangle is 63 inches.

1 (-2,2) Write the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (-2, 2). * (4 Points)​

Answers

Answer:

y = -5x - 8

Step-by-step explanation:

Take the points (-5,-4) and (0,-3) plug them into this formula to get the slope.

[tex]\frac{y2 - y1 }{x2 - x1}[/tex]

Now plug in your points

[tex]\frac{-3 - (-4)}{0 - (-5)} \\\\\frac{1}{5}[/tex]

Since you're slope is 1/5 the slope of the perpendicular line is going to be the totally opposite -5 is the slope of the perpendicular line.

Now plug in -5 and the point (-2,2) into y = mx + b to get the y-intercept

2 = -5(-2) + b (b represents the y-intercept)

2 = 10 + b (subtract 10 from both sides)

-8 = b

The perpendicular line looks like this y = -5x - 8

Hope this helps ya! Keep smiling!

PLEASEE HELP ASAP!!
WHAT IS THE SLOPE OF THIS GRAPH

Answers

Answer:

Step-by-step explanation:

(-4,0) (-2, -3)

(-3-0)/(-2+4)= -3/2

what is the slope of ( -4,-1) , (8 - -7)

Answers

The formula to find slope is:
Rise over run —> y2 - y1 / x2 - x1
Plug in the numbers.
-7 - (-1) / 8 - (-4)
Simplify.
Hope I helped:)

On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 2), (negative 1, 4), (1, 1), (1, 3), (2, negative 3).
Which ordered pair could be removed from the graph to create a set of ordered pairs that represents a function?
A.(–4, 2)
B.(–1, 4)
C.(1, 3)
D.(2, –3)

Answers

The correct option is option C i.e., (1,3).

It is given that a circle has the points (4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).

We have to check which ordered pair from given options is correct.

What do you mean by domain and ranges of a function ?

The domain is set of all values for which the function is defined and the range of the function is set of all values that function takes.

As per the question ;

A circle has the points ;

(4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).

We know that ;

A function is just like a machine that gives an output for a given unique input. The input given to the function is called the domain whereas the output of a function is called its range.

Also ;

The domain is the independent variable and is represented by the 'x' coordinate and range depends on the values of the domain and is represented by the 'y' coordinate.

Now ; check for relation.

Here ; the ordered pairs (1, 1) and (1, 3) have the same input. So if we remove either of them , it will make the relation as a function.

So;

The correct option is C.

Thus , the correct option is option C i.e., (1,3).

To learn more about ordered pairs click here ;

https://brainly.com/question/13166732

#SPJ2

Answer:

C (1, 3)

Step-by-step explanation:

edge 2023

ANSWER ASAP ! NEED ANSWERS

Answers

Answer:

B.

Step-by-step explanation:

The midpoint is at y=1

Pls help this is already past due

Answers

Answer:

Step-by-step explanation:

-5400/-450

12 minutes

Answer:

12 minutes

Step-by-step explanation:

If the rate of the plane is -450 meters per minute, then you have to use the "division" operation in order to know how much time it takes for the plane to reach an altitude of -5,400 meters.

-5,400 meters ÷ -450 meters/minute = 12 minutes

It will take 12 minutes for the plane to reach an altitude of -5,400 meters.

Let's check:

-450 meters x 12 minutes = -5,400 meters

S= CB-7, for C.
What is the Answer to this?

Answers

Answer:

C = (S + 7) / B

Step-by-step explanation:

S = CB - 7

S + 7 = CB

C = (S + 7) / B

Hope this helps!

Work out the area of Triangle ABC

Just to confirm, these are the numbers,
Bottom right: √2cm
Bottom Left: 3√2cm
Middle right: 2√5cm


Answers

The main idea is using the Pythagorean formula to find the length of line segment [tex]DB[/tex].

Alr so you use the formula [tex]A^2 + B^2 = C^2[/tex]

[tex]C^2[/tex] is already given and is [tex]2\sqrt{5}[/tex]

and [tex]A^2[/tex] is [tex]3\sqrt{2}[/tex]

So using algebraic rules you'll get [tex]B[/tex] as:

[tex]\sqrt{2}[/tex]

Now using the formula: [tex]\frac{1}{2} b * h[/tex], you can find the area of tri ABD and CBD which would be [tex]3[/tex] and [tex]1[/tex] so add them up and you get [tex]4[/tex]!

cam wants to find 509-106. which steps can he use to find the difference

Answers

Answer:

C.

Step-by-step explanation:

the answer is 403

Answer:

C

Step-by-step explanation:

It wouldn't be A since 5 - 1 you would get 4 hundred not 4 tens. It wouldnt be B because 9 - 6 you would get 3 ones not 3 hundreds and 5-1 you would get 4 hundreds not 4 ones. It wouldnt be D because 9-6 would be 3 ones not 3 tens. Hope I helped ! Good luck !

Hi, could any one explain how to find the amount of prime numbers between numbers?

Answers

Answer:

The answer is below

Step-by-step explanation:

So first to find a prime number, you need to know some multiplication skills.

So prime number is a number that is only divisible by itself or 1.

______

For example

3 is a prime number because it can't be divisible by any number

but

9 is not a prime number, because it can be divisible by 3

3 x 3 = 9

______________________

So you get it now

Now if you get a some number between 1 - 10

you have to use your multiplication skills to see if there are any prime numbers.

_____________________________

so

1  - not a prime number, can't be divisible by any number.

2 - not a prime number, can't be divisible by any number.

3 - not a prime number, can't be divisible by any number

4 - is a prime number, can be divisible a number (2 x 2 = 4)

5 - not a prime number, can't be divisible by any number

6 - is a prime number, can be divisible a number (3 x 2 = 6)

7 - not a prime number, can't be divisible by any number

8 - is a prime number, can be divisible a number (4 x 2 = 8)

9 - is a prime number, can be divisible a number (3 x 3 = 9)

10 - is a prime number, can be divisible a number (5 x 2 = 10)

__________________________________________________________

15) In the proof: STATEMENT: e / f REASON: 15)
Transitive Property of Congruency
Converse of AEA Theorem
AEA Theorem
AIA Theorem
Definition of Congruent Angles

Answers

Answer:

Can you be more specific if you can I will answer in the comments :)

Step-by-step explanation:

En un mapa tienes que ir de la escuela a el mercado y del mercado a la biblioteca pero ¿Cómo se mide la distancia que hay entre cada uno de esos lugares si sale 1:10000 centímetros?

Answers

Answer:

La escala es 1 : 10000 centimetros

Eso significa que por cada centimetro que una persona mide en el mapa, en la vida real la distancia es 100 metros.

Por ejemplo, si usamos una regla para medir la distancia en el mapa y medimos que entre la escuela y el mercado hay una distancia de 7 centimetros (siguiendo las calles, no en linea recta), entonces la distancia a caminar para ir de la escuela al mercado es de 700 metros. Debemos ser cuidadosos y medir la distancia siguiendo las calles, ya que si medimos en linea recta la distancia puede ser menor, pero los humanos no volamos.

A punch recipe calls for 3/4 cups of Sprite for 1 and 1/4 cups of juice. How much Sprite is needed for 5 cups of juice?



Answers

the answer is 3

could I get brainlisted?

You have 784 grams of a radioactive kind of tellurium. If its half-life is 42 minutes, how much will be left after 126 minutes?

Answers

Answer:

98 grams

Step-by-step explanation:

The simplest way to think about this is that the half life has elapsed 3 times, so you need to take the initial mass and divide it by 2 3 times, so 784/2/2/2 or 784/8 which is 98

.) Freddy is 6 years older than twice his nephew's age. The sum of their ages is
57. How old are Freddy and his nephew?

Answers

Answer:

Freddy is 40

his nephew is 17

Step-by-step explanation:

6+2n +n=57           6+2n or 6+2(17

6+3n=57                     6+34

3n=51                             40

n=17                                f=40

A right triangle is a move from a rectangle to create the shaded region below. find the area of shaded region. be sure to include the correct unit in your answer.​

Answers

Answer:

55 cm²

Step-by-step explanation:

Area of rectangle is 9 × 7 = 63 cm²

Area of write angled triangle is [tex]\frac{1}{2}[/tex] (7 - 3)(9 - 5) = 8 cm²

The area of shaded region is 63 - 8 = 55 cm²

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