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

Johnny has $100 in the bank and plans to deposit $15 per day. Sal has $250
in the bank and plans to withdraw $10 from the bank each day. How many days
until they have the same amount in the bank?

Answers

Answer:

6 days

Step-by-step explanation:

First we have to write an expression that represents Johnny's and Sal's banking plans.

Johnny: He has an initial value of $100 and that value will increase by $15 every day. So the expression looks like: 15x + 100, where x is the amount of days it's been.

Sal: An initial value of $250 and the value will decrease by $10 everyday. The expression looks like: -10x + 250, where x is the amount of days it's been.

To find how many days they have until they have the same amount of money in the bank, we can set the expressions equal to each other and solve for x:

15x + 100 = -10x + 250

Add 10x to both sides to isolate the x on one side of the equation:

25x + 100 = 250

Subtract 100 from both sides of the equation to isolate 25x:

25x = 150

Divide both sides by 25 to find the value of x:

x = 6

Since x represents the amount of days it's been, x = 6 means that it will take 6 days for their bank accounts to have the same amount of money in them.

Hope this helps :)

first correct answer will get brainliest
Solve: 3(5-2 ) +I-5I = ?


7

15

4

14

Answers

Answer:

14

Step-by-step explanation:

when you multiply and do the absolute value thats what you get

What is the area of this Parallelogram?

Answers

Answer:

Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.

Step-by-step explanation:

A circus audience sits in rows around the performing ring. There are 9 seats in each row. How many rows will need to be set up if 513 people are expected to attend the show?

Answers

Answer:

57 rows

Step-by-step explanation:

Since each row will have a total of 9 seats, then we would simply need to divide the total number of individuals that will attend the show by 9 in order to calculate the number of rows that need to be set up around the performing ring.

513 / 9 = 57 rows

Therefore, we can see that we would need a total of 57 rows of 9 chairs each in order for there to be enough chairs to seat 513 people.

also rented a truck for one day. there was a base fee of 20.99, and there was an additional charge of 85 cents for each mile driven. aldo had to pay $210.54 when he returned the truck. for how many miles did he drive the truck?

Answers

Answer:

223 mile

Step-by-step explanation:

1/3 (x-10)=-4 what does x represent

Answers

Answer:

-2

Step-by-step explanation:

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

Step 1: Multiply both sides of the equation by 3.

Step 2: Simplify both sides of the equation.

Step 3: Move all terms not containing x to the right side of the equation.

Calculate −5^2+(−2)^3

Answers

Answer:

-33

Step-by-step explanation:

Answer:

-33

Step-by-step explanation:

−5^2 + (−2)^3 =

= -25 + (-8)

= -33

the graph of a linear equation in two variables is _____?

Answers

Answer:

"a straight line"

Step-by-step explanation:

recall that a linear equation may be expressed as

y = mx + b, where x and y are the variables (i.e 2 variables)

we also know that if we graph the linear equation  y = mx+b, we will get a straight line.

Hence a possible answer for the blank could be:

"a straight line"

Can someone please help me

Answers

so J is jelly beans and T is trail mix :)
so J= $3.50
T= $1.50

Refer to the various selling prices of various homes in a community that follow the normal distribution with mu (population mean) = $276,000 and sigma (standard deviation – measure of dispersion) = $32,000. Calculate the probability that the next house in the community will sell for between $276,000 and $325,000.

Answers

Answer:

0.43715

Step-by-step explanation:

We solve using z score calculator

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = $276,000

σ is the population standard deviation = 32,000

For x = $276,000

z = 276,000 - 276,000/32000

z = 0

Probability value from Z-Table:

P(x = 276000) = 0.5

For x = $325,000

z = 325,000 - 276,000/32000

z = 1.53125

Probability value from Z-Table:

P(x = 325000) = 0.93715

The probability that the next house in the community will sell for between $276,000 and $325,000 is

P(x = 325000) - P(x = 276000)

= 0.93715 - 0.5

= 0.43715

Simplify the expression

1/5v+3/10v​

Answers

[tex]\frac15v+\frac3{10}v=\frac2{10}v+\frac3{10}v=\frac5{10}v=\frac12v[/tex]

Can someone help me ill give Brainliest

Answers

I believe the answer is a

Solve 15=3n+6p, for n

Answers

Answer:

[tex]n=5-2p[/tex]

Step-by-step explanation:

STEP 1: Rewrite the equation as  3 n + 6 p = 15 .

[tex]3n+6p=15[/tex]

STEP 2: Subtract  6 p  from both sides of the equation.

[tex]3n=15-6p[/tex]

STEP 3: Divide each term by  3  and simplify.

[tex]n=5-2p[/tex]

This is how I solved it

Determine the value of x.

Help me please please please!

Answers

Answer:

X = 12

Step-by-step explanation:

Since each angle is equivalent to each other, you can write the equation:

(9x-3) = (7x+21)

Then Simplify.

Subtract both sides by 7x

2x-3=21

Add 3 To Both Sides

2x=24

Divide by 2

X = 12

Answer:

9x-3=7x+21

9x=7x+24

2x=24

x=12

Step-by-step explanation:

(9x-3) and (7x+21) are corresponding angles that means that they are congruent. So they equal each other.

4. Alan's go-kart travels 1600 feet per minute, and Barry's go-kart travels 23 miles per hour. Whose
go-kart travels faster

Answers

23 miles per hour is 2024 feet per minute
Alan goes at 1600 and Barry goes at 2024
So, Barry goes faster
Hope this helps!

Find the EXACT value of sec (-120 degrees)

Answers

Sec is 1/cos so sec -120 is 1/cos -120 which is -2

Well sec(-120) = 1/cos(-120).

We know that cos(-120) = -1/2.

So, 1/(-1/2) = -2.

This means that sec(-120) = -2.

Which expression represents the base of the parallelogram

Answers

Excuse me sir where is you equation?

Answer:

Where is the image or work so I can help you?

Step-by-step explanation:


pls help:( this is due by the end of the day!!

Answers

Answer:

65°

Step-by-step explanation:

the degrees of the center angle is equal to the degrees of the arc so

?=65°

Jeremiah answers 90% of the questions on his test correctly. There are 40 questions on the test.

Jeremiah writes the expression 40 minus (StartFraction 1 over 10 EndFraction times 40) to determine the number of questions answered correctly. Which is an equivalent expression?
StartFraction 9 over 10 EndFraction times 40
40 minus 36
(StartFraction 1 over 10 EndFraction times 40) minus 40
(40 minus StartFraction 1 over 10 EndFraction) times 40

Answers

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

A zookeeper is preparing to care for snakes in an exhibit. For every 2 snakes, she needs 1 bowl of water. How many bowls of water are needed if the number of snakes is x? *

Answers

Answer:

k

Step-by-step explanation:

- The length of the side of a square is
(x/3 – 2)metres
; find the PERIMETER
and AREA of the square.
2).
I
3​

Answers

96 i dont no! itz vary confuzng i em bud ad tpng

the sum of the interior angles in a pentagon

Answers

Answer:

540°

Step-by-step explanation:

When you have a polygon (shape with 3+ sides), you can split the shape into the lowest number of triangles and use that to calculate the interior angles of the shape. Thus works because triangles have angles that always add up to 180°

A Pentagon can be split into 3 triangles minimum, which means you have 180 + 180 + 180. Or...

180 x 3 = 540

How do I divide decimals?​

Answers

Answer: move the point or decimal

Step-by-step explanation: you just remove the decimal that means the point the devide and put it back

Amanda made $276 for 12 hours of work, At the same rate, how many hours would she have to work to make $115

Answers

Answer:

5 hours

Step-by-step explanation:

276/12= 23

115/23= 5

5 hours
276 divided by 12 = 23
115 divided by 23 = 5

HELP!!
Ingrid and Harish were trying to solve the equation:
x^2-3x=x+1
Ingrid said, “First, I'll subtract x from both sides so I have x^2-4x=1. Then I can solve by completing the square. If I add 4 to each side, I can rewrite the equation as (x-2)^2=5. Harish said, “I'll isolate the x^2x term by adding 3x to both sides of the equation. Then I'll solve by taking the square root.”

Whose solution strategy would work?

Answers

Answer:

only ingrid

Step-by-step explanation:

Five more than the product of a number and 9 is 2.

Answers

Answer:

-3/9

Step-by-step explanation:

The equation would be: x * 9 + 5 = 2

Subtract 5 from each side: x * 9 = -3

Divide each side by 9: x = -3/9

I hope this helped, please mark Brainliest, thank you!!

Please someone help me

Answers

m=69 miles

you can find this because if you divide the 9 by 6 as they are matching sides you get 1.5, take that number and multiply it by the 46 and get the 69! hope that helps :D

How do I solve 50% of 70??? I’m having trouble with percents and proportions.

Answers

Answer:

35

Step-by-step explanation:

i googled it :)

Consider the below three statements to be true:

All horses that run fast are brown

Horse A is not brown

Horse B runs fast

Which of the following statements is TRUE?

a. Horse B is not brown

b. Horse B is brown

c.Horse A runs fast

d. All brown horses run fast​

Answers

Answer:

2nd option

Step-by-step explanation:

The 2nd option (horse b is brown) corresponds with "all horses that run fast are brown"

is y= -4x+9 porportional?

Answers

Answer:

Nope

Step-by-step explanation:

Since we have no values for x and y there isnt really a way to tell. Since we dont know the values, I would assume not.

Answer:

nope

Step-by-step explanation:

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