John sales model boats from a booth at a local fair. He purchases each model boat from a distributor for five dollars and the local fair chargers him a baby and $80 John cells each model boat for $50. Write a system of equations to represent the situation

Answers

Answer 1

Answer and explanation:

Profit from sale of model boats = Sales -costs(costs of goods purchases + expenses or charges by the local fair)

John's profit from the sale of model boats can be represented by the equation:

P= 50x-(5x+80)

Where P is profit from the sale of the model boats and x is number of model boats bought and sold. The 80 is constant as it is a fixed cost paid to the local fair.

For example if John buys and sells 20 model boats, he would make profit of:

Substitute x=20 in equation above

P= 50×20-(5×20+80)

P=1000-180

P=$820

It could be said that John is in a very profitable business and his profit is also dependent on volume of sales because the lower his sales the closer he gets to making a loss and not profit


Related Questions


Morgan knows that 3 gallons of water weigh 25 pounds.
How much do 10 gallons of water weigh?

Answers

The full answer would be 83.454 but you can just say 83 pounds. Both are right

.............. Help! Easy math practice

Answers

9514 1404 393

Answer:

  2 11/28

Step-by-step explanation:

  6 1/7 = 3 3/4 + p

  p = 6 1/7 - 3 3/4 = 5 32/28 - 3 21/28 = (5 -3) +(32-21)/28

  p = 2 11/28

Answer:

2 11/28

Step-by-step explanation:

Round to the nearest tenth (TIMED PLEASE help!!!)

Answers

Answer:

[tex]A = 180 - (90 + 72) \\ A= 18° \\ \\ from \: pythogoras \\ a = 3.4 \\ b = 10.5[/tex]

Find the value of – 6 – (-10) + (-2)

Answers

Answer 6

Step-by-step explanation:

= -6 - (-10 + (-2))

= -6 - (-12).

= -6 + 12

= 6

line a passes through points (5,8) and (10,6). line b is perpendicular to a. what is the slope of line b?

Answers

Answer:

2/5

Step-by-step explanation:

First, we need to find the slope of line a. To do this, we subtract the two y values and then the two x values and divide these two differences.

10-5=5

6-8=-2

5/-2= -5/2

A perpendicular line's slope will always be equal to the negative reciprocal of the intersects. So, we just flip the numerator and denominator and then add a negative to our first slope to get the slope of line b.

-2/5

--2/5

2/5

Have a wonderful day! :D

The definition of power

Answers

Answer:

When you look in the dictinary it says this...*pick any they all will get the answer correct!

Step-by-step explanation:

definition for power in math!

In mathematics, power refers to the number arrived at by raising a number to an exponent.

brainliest? hope this helps!

4(x - 7) = 4x - 28

what property

commutative
identity
associative
distributive

Answers

Answer:

0

Step-by-step explanation:

4

(

7

)

=

4

2

8

4(x-7)=4x-28

4(x−7)=4x−28

Solve

1

Distribute

4

(

7

)

=

4

2

8

4

2

8

=

4

2

8

2

Add

2

8

28

28

to both sides of the equation

4

2

8

=

4

2

8

4

2

8

+

2

8

=

4

2

8

+

2

8

3

Simplify

Add the numbers

Add the numbers

4

=

4

4

Subtract

4

4x

4x

from both sides of the equation

4

=

4

4

4

=

4

4

5

Simplify

Combine like terms

Combine like terms

0

=

0

Result

0

=

0

The input is an identity: it is true for all values

Answer:

associative

4 is associated in the bracket

=( 4x-7 )

Round 0.485 correct to 1 significant figure

Answers

Answer:

0.5

Step-by-step explanation:

the first significant figure is the non zero

their corresponding helpppopooequivalent expressions,
Help help

Answers

YOU PLAY ROBLÓX I PLAY TOOOOOO
I think it’s the 4th option lmk if I’m wrong

If Mr. Jones buys paddles for $35 instead of $50 and uses the same percent increase on price how many paddles most Mr. Jones sell for the total paddle sales before tax and to be at least $250 explain your answer

Answers

Answer: 4 paddles

Step-by-step explanation:

Mr. Jones buys the paddle for $35 and sells at 180% of the purchase price:

= 35 * 180/100

= $63

For the number of paddle sales to be at least $250, he should sell:

= 250/63

= 3.97

= 4 paddles

Write an expression for the slope of the line in the graph using the letters u,v,s, and t.

Answers

Answer:

We conclude that the slope between (s, t) and (u, v):

slope = [v - t] / [u - s]

Step-by-step explanation:

We can find the slope between two points (x₁, y₁) and (x₂, y₂) using the formula

slope =  [y₂ - y₁] / [x₂ - x₁]

In our case, the two points are

(x₁, y₁) = (s, t)

(x₂, y₂) = (u, v)

Thus, the slope between (s, t) and (u, v)

slope = [v - t] / [u - s]

Therefore, we conclude that the slope between (s, t) and (u, v):

slope = [v - t] / [u - s]

HELP, DUE TODAYY! photo attached

Answers

Answer:

UGHH SOMONE ANWER MY QUESTIONSS

Step-by-step explanation:

Help help help brisnly

Answers

Answer:

5/6

Step-by-step explanation:

Find common denominator,6.

Multiply the fraction to be able to have the denominator of each fraction to be 6.

(If you multiply the denominator by a number then you need to multiply the numerator by the same number.)

New problem 4/6+1/6

5/6

Hope this helps!! :)

(It may be a bit confusing but I tried my best)

Brainliest?!?!

Stay safe and have a wonderful day/night/afternoon!!!

She uses 13 of her supply of sunflower seeds to make a salted snack mix and 29 of her supply to make an unsalted snack mix. If Cecile uses 10 pounds of sunflower seeds, how many pounds of seeds are in her supply?

Answers

Answer:

18 pounds

Step-by-step explanation:

Here is the full question :

Cecile packages snack mix at a health food store.

She uses 1/3 of her supply of sunflower seeds to make a salted snack mix and 2/9 of her supply to make an unsalted snack mix. If Cecile uses 10 pounds of sunflower seeds, how many pounds of seeds are in her supply?

Let x = Cecile's supply

1/3 of x = 1/3x

2/9 of x = 2/9x

1/3x + 2/9x = 10

adding the fraction together gives 5/9

5/9 x = 10

solve for x = 18 pounds

The number of views on a viral video can be modeled by the function Q(t)=410(5)^{2t}.Q(t)=410(5) 2t . Write an equivalent function of the form Q(t)=ab^t.Q(t)=ab t .

Answers

Answer: Q(t) = 410*(5)^(2t) = 410*(5^2)^t = 410*(25)^t

Step-by-step explanation:

We start with the equation:

Q(t) = 410*(5)^(2t)

And we want to rewrite this in the form:

Q(t) = a*b^t

To do this, we need to use the property:

(a^x)^y = a^(x*y)

Using this, we can rewrite:

Q(t) = 410*(5)^(2t) = 410*(5^2)^t = 410*(25)^t

And this is the form that we wanted:

Answer:

13120(16)^t

Step-by-step explanation:

The number of views on a viral video can be modeled by the function Q(t)=820(4)^{2t+2}.Q(t)=820(4)  

2t+2

. Write an equivalent function of the form Q(t)=ab^t.Q(t)=ab  

t

.

Q(t)=

Q(t)=

\,\,820(4)^{2t+2}

820(4)  

2t+2

 

Q(t)=

Q(t)=

\,\,820\cdot\color{steelblue}{4^{2t+2}}

820⋅4  

2t+2

 

Q(t)=

Q(t)=

\,\,820\cdot\color{steelblue}{4^{2t}\cdot 4^{2}}

820⋅4  

2t

⋅4  

2

 

\small 4^a\cdot4^b \rightarrow 4^{a+b},4  

a

⋅4  

b

→4  

a+b

, but going backwards \small 4^{a+b}\rightarrow 4^a\cdot 4^b4  

a+b

→4  

a

⋅4  

b

 

Q(t)=

Q(t)=

\,\,820\cdot\color{steelblue}{4^{2}\cdot 4^{2t}}

820⋅4  

2

⋅4  

2t

 

Switch order of multiplication

Q(t)=

Q(t)=

\,\,(820\cdot\color{steelblue}{16})\cdot \color{steelblue}{4^{2t}}

(820⋅16)⋅4  

2t

 

Evaluate \color{steelblue}{4^{2}=16}4  

2

=16

Q(t)=

Q(t)=

\,\,13120(4)^{2t}

13120(4)  

2t

 

Multiply 820\cdot 16=820⋅16=1312013120

Q(t)=

Q(t)=

\,\,13120(4^{2})^{t}

13120(4  

2

)  

t

 

Since (4^a)^b\rightarrow 4^{ab},(4  

a

)  

b

→4  

ab

, we can go backwards 4^{ab}\rightarrow (4^a)^b4  

ab

→(4  

a

)  

b

 

Q(t)=

Q(t)=

\,\,13120(16)^{t}

13120(16)  

t

 

Evaluate 4^{2}=164  

2

=16

can i please get some help on this i will mark brainlyest (i dont know how to spell it)

Answers

Answer: The first one is17power-9

The second one is 1

Step-by-step explanation:

SIMPLIFYING ALGEBRAIC EXPRESSIONS

-8(9x+7r) use r = -5 and x = 8

Answers

Answer:

-296

Step-by-step explanation:

Answer:

-296

Step-by-step explanation:

-8(9×8+7×-5)

-8 (72 + -35)

-8(37)

-296

How many centimetres are there
in 2m 10cm​

Answers

Answer:

Step-by-step explanation:

we know that

1m=100 cm

2m=200 cm

2 m and 10 cm= 210 cm

Answer:

1metre has a 100 cm

So 100 x 2=200cm

200cm|+10cm=210

2m10cm=210 cm

Step-by-step explanation:

1×9=9 wish property is this

Answers

Answer:

identity property of multiplication

Step-by-step explanation:

Answer:

it is Multiplicative Identity Property

Explain the importance of putting your data set in order from least to greatest

Answers

Answer:

The mean may not be a fair representation of the date

Step-by-step explain the average is easily influenced by outliers (very small or large values in the data set that are not typical). The median is another way to measure the center of a numerical data set. ... Thus, the median is truly the middle of the data set.

equivalent fraction for 2/3 and 3/4 using 12 as a denominator

Answers

2/3 - 8/12
3/4 - 9/12

Hope that helped!

9514 1404 393

Answer:

  8/12, 9/12

Step-by-step explanation:

Multiply the numerator and denominator by the factor that makes the denominator 12.

  [tex]\dfrac{2}{3}=\dfrac{2\cdot4}{3\cdot4}=\boxed{\dfrac{8}{12}}\\\\\dfrac{3}{4}=\dfrac{3\cdot3}{4\cdot3}=\boxed{\dfrac{9}{12}}[/tex]

The sum of two numbers is 81 the difference of the same two numbers is 33 write a system of equations to represent this situation then find the numbers

Answers

Answer:

48

Step-by-step explanation:

Guys I need 1 more thing to do!
Once I am done then the 50 giveaway will start!
:D

Answers

What do you need to do? I can’t see the question so I don’t know if you need help on anything

Alright! Will look towards it if it didn’t start yet!

Pls Answer!!!! Will make Brainliest!!!


1. Show that (a+bi)^2 = (a+b)(a−b) + 2abi


2. Show that (2x+i)(2x−i) = 4x2 +1


3. Show that (1+i)2 = 2i

Answers

Step-by-step explanation:

sorry i sent the wrong image hold on

A club logo is made from a square and a trapezium.
Calculate the area of the logo.
4cm
2cm
8cm

Answers

Answer:

hi im from another country see ya ... your country is amazing

Step-by-step explanation:

A company prints 4580 copies of the same book. The number of pages in the book, including the cover pages, is 79. What is the total number of pages, including the cover pages, that the company prints?

Answers

Answer: ‭361,820‬ pages

Step-by-step explanation:

The company prints 4,580 copies of the same book and it has 79 pages including cover pages.

The total number of pages the company prints therefore is:

= 4,580 * 79

= ‭361,820‬ pages

Michael has 3 quarters, 2 dimes, and 3 nickels in his
pocket. He randomly draws two coins from his pocket,
one at a time, and they are both dimes. He says the
probability of that occurring is because 2 of the 8
coins are dimes. Is he correct? Explain.

Answers

My Answer:

The events are dependent.

The size of the original sample space is 8. It changes to 7 after the first dime is chosen.

The probability of picking the first dime is 2/8.

The probability of picking the second dime is 1/7

To find the probability of the compound event, multiply the probabilities.

I got it correct, on edge 2020/2021

Answer:

No. Choosing two dimes are dependent events. The probability of choosing the first dime is 14 and the probability of choosing the second dime is 17 . The probability that both coins are dimes is (14)(17) = 128.

Hope this helps and the other guys is right :)

Step-by-step explanation:

There is a average of 50,000 spiders per acre in green areas, How many spiders would be in 1/4 of an acre?

Answers

You take 50,000 and divide it by 1/4 to get the answer of 12,500 spiders in 1/4 of an acre.

what is the solution to this system of equations? Answer for Brainliest!!!

Answers

The answer is C (-2,4).

You roll a 6-sided die twice. What is P(1, less than 3)? Simplify
your answer and write it as a fraction or whole number.

Answers

Answer:

1/18

Step-by-step explanation:

Probability of 1 is 1 out of 6:

1/6

Probability of less than 3 is:

1 or 2 out of 6 = 2/6 = 1/3

P(1, less than 3) is

1/6* 1/3 = 1/18

Total sample space

{1,2,3,4,5,6}

So

P(1)

1/6

P(<3)

2/6=1/3

P(1,<3)

1/6×1/31/18
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