A clothing business finds there is a linear relationship between the number of shirts n it can sell and the price P it can charge per shirt. In particular historical data shows that 2 thousand shirts can be sold at a price of 80 dollars each, and that 5 thousand shirts can be sold at a price of 65 each

Answers

Answer 1

Answer:

We have two data points:

2000 shirts can be sold for $80 each.

5,000 shirts can be sold for $65 each.

Then we can define the relation:

P(n).

Where P is the price, and n is the number of shirts.

Now, we know that we can model this as a linear relationship that passes through the points (2000, $80) and (5000, $65)

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In this case, the slope is:

a = ($65 - $80)/(5000 - 2000) = -$0.005.

Then our equation is:

P(n) = -$0.005*n + b

Now let's find the value of b, we know that:

P(2000) = $80 = -$0.005*2000 + b

                 $80 = -$10 + b

                  $80 + $10 = b = $90

Our equation is:

P(n) = -$0.005*n + $90.


Related Questions

image.......................

Answers

Answer:

10.75

Step-by-step explanation:

The cost of an adult ticket is £6 more than that of a child ticket, so will be shown by c+6.

Now, we are told that the cost of four child tickets and two adult tickets is £40.50, so we can put this in an equation and solve for c:

(c+6)+(c+6)+c+c+c+c=40.50

6c+12=40.50

6c=28.50

c=4.75

so, a childs ticket is 4.75

now to find the cost of an adult ticket you add 6,

4.75 + 6

= 10.75

Bob owed S225 on his store credit card. Ile made a payment of S75. Ilow much does Bob owe on his credit card? 0 -150 O 150 O 300 -300



Help me pleasee !​

Answers

The answer is -300 because he owes -225 and then when he spends they subtract the amount he spent so the equation would be -225-75= the answer of -300

PLEASE ANSWER Quickly!

Find the equation of the line

Y= __x + __

Answers

Answer:

y= -x+5

Step-by-step explanation:

→first you need to identify 2 points. I'm using (5,0) and (0,5)

→second you need to find the slope using y2-y1/x2-x1 as your formula

5-0/0-5= 5/-5=-1

→then you need to use y-y1=m(x-x1) formula

y-0=-1(x-5)

(distribute the -1)

y-0= -1x+5 (+5 because a negative times a negative is a positive)

(combine like terms)

y= -1x+5

→once you solve you get y= -x+5

It’s actually
Y= X-5
It’s bit -x because it’s not facing the left and it’s -5 because the line is intercepting the y axis at -5
So your answer is
Y=X-5

Calculate the reciprocal of -0.013, correct to 1 decimal

Answers

Answer:

Step-by-step explanation:

-0.013 = [tex]\frac{-13}{1000}[/tex]

Reciprocal = [tex]\frac{-1000}{13} =-76.9[/tex]

Maritza esta vendiendo una bicicleta seminueva que ya no utiliza. Como le costo doscientos soles, incluido IGV, ahora la venderá a veinte por ciento menos de lo que le costó. Deduce gráficamente el precio al que vendera Maritza la bicicleta y argumenta tu respuesta. ¿Cómo representarías el valor de venta de la biciclita?

Answers

Answer:

Ok, primero, como lo deducimos gráficamente?

Sigamos estos pasos.

Dibujemos en una recta, la distancia entre el punto 0 soles y el precio de la bicicleta = 200 soles.

200 soles representa el 100%.

Ella lo quiere vender al 80% (o le quiere restar el 20%).

Entonces, con una regla, medir la distancia entre 0 soles y 200 soles.

Dividir esa cantidad por 10. (cada una de estas cantidades va a representar un 10%)

Multiplicar eso por 8.

Esa cantidad es el equivalente al 80% del precio de la bicicleta.

Abajo hay un dibujo donde se ve el método.

Una forma mas matemática de resolverlo es:

200 soles = 100%.

x soles = 80%

x es el precio al que ella va a vender la bicicleta:

Veamos el cociente de esas dos ecuaciones:

200/x = 100%/80%

x = 200*(80%/100%) = 160

Ella vendería la bicicleta en 160 soles.

What are two different decimals that when rounded to the nearest thousandth would give 5.24 as an answer

Answers

Answer: 5.2387 and 5.2437

Step-by-step explanation:

What's the solution: 7x = 5x - 25 + 30

Answers

Answer:

[tex]x= \frac{5}{2}[/tex]

Step-by-step explanation:

1) First, Simplify 5x-25+30 to 5x+5.

7x = 5x + 5

2) You then Subtract 5x from both sides.

7x − 5x = 5

3) Simplify 7x-5x to 2x.

2x = 5

4) Lastly,  Divide both sides by 2.

[tex]x=\frac{5}{2}[/tex]

Decimal Form: 2.5

Answer:

X= 5/2

Step-by-step explanation:

7x=5x-25+30

_5x -5x

2x=-25+30

2x=5

/2. /2

x=5/2

Jane baked the kinds of fruit bars shown in the table below.

Kind of Fruit Bar Number
Apple

51
Peach

36
Plum

84
Part A

Jane wants to make baskets of the fruit bars, and she wants to divide each kind of fruit bar equally among the baskets. What is the maximum number of baskets can she make?

Answers

Answer:

I THINK the answer is 57

Step-by-step explanation:

Add 51 + 36 + 84

Divide 171 by 57

57 is the most that can go into 171 evenly.

Gianna earned $466.90 at her job when she worked for 23 hours. How much money did she earn each hour?

Answers

Answer:

About $20.30

Step-by-step explanation:

$466.90 divided by 23.

$20.30

You need to divide 466.90 which is the total amount for 23 hours and then divide that by 23

Which mathematical concepts did Euler's legacy include? Check all that apply.

the notation for the imaginary unit
the idea of a functional relationship
the formalization of function notation
the definition of a circle's circumference
the notation for the base of the natural logarithm

Answers

Answer:

a)the notation for the imaginary unit

c) the formalization of a function notation

e) the notation for the base of the natural logarithm

Step-by-step explanation:

it said i was correct :P

the notation

the formalization of function notation

the notation for the base of natural logarithm

solve the question ​

Answers

Answer:

the answer is 402 the 2 lines just make the answer an even number and if its already even nothing happens

Step-by-step explanation:

Answer:

402

Step-by-step explanation:

because if it was negative in those lines, it would turn into a positive but since it is already positive, it stays that way. (if a negative is in there, change to positive/if positive in there, it stays the same)

20 POINTS!!!! NUMBER 9 please

Answers

Answer:

Step-by-step explanation:

C

no , it is c because the y-intercept of 4x-3y=24 is -8

if you know RS=St and

Answers

Answer: The side angle side postulate

Step-by-step explanation:

Find the value of X.

Answers

Answer:

X=-2.5

Step-by-step explanation:

You take -7.5 and distribute to the x and 3 so that would be -7.5x-22.5=3.75 then you take -22.5 and do inverse operation and do 22.5 on both sides which then you will have -7.5x=-18.75 then you divide both side by -7.5 and get -2.5

the function f(x) is shown in this graph
the function g(x) = -6x -5

Answers

Answer:

C.

Step-by-step explanation:

Mr. Torres took his students to the dolphin show. Each row in the stadium had 9 seats. One adult sat at each end of a row, and each group of 3 students was seated between 2 adults. Mr. Torres sat by himself. How many adults were there? gr4ch02l09pg08451 There were adults including Mr. Torres.

Answers

Answer:

There were 4 adults; including Mr. Torres

Step-by-step explanation:

- Each row in the stadium had 9 seats

- Mr. Torres sat by himself; he sat on a row with nobody else (no students, no adults)

- The arrangement of the students and the adults who sat with them on same row is:   A  S  S  S  A  S  S  S  A

              1   2  3  4  5  6  7  8  9

since 1 adult sat at each end of a/the row and each group of 3 students was seated between 2 adults.

So the total number of adults that were present = 3 + 1 = 4

If C is a circles circumference and r is it’s_____,then C=2pi r. The_____of a circle can be found by taking the product of half the circumference and the radius

Answers

Answer:

r is the radius, area

Step-by-step explanation:

Good luck

Answer:

Step-by-step explanation:

The first blank is radius.

The circumference = 2 * pi  *  r

For the second answer, if you take 1/2 the circumference, you get pi * r

If you then multiply by r, you get pi * r * r

pi * r^2 = the area.

Given m ||n, find the value of x.

(x+14)
mm
(9x-40°

Answers

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

Answer:

17

Step-by-step explanation:

What is the slope of the line? (SOMEONE PLEASE HELP

Answers

Answer:

3/4

Step-by-step explanation:

Can Yu Mark Brainliest Plz

It’s answer is c 3/4

Solve the compound inequality.

3<2−3≤12
3
<
2
p

3

12
3<2−3≤12
3
<
2
p

3

12

Group of answer choices

3>≥152
3
>
p

15
2
3>≥152
3
>
p

15
2
3>≥152
3
>
p

15
2

6>≥15
6
>
p

15
6>≥15
6
>
p

15
6>≥15
6
>
p

15

$$66<≤15
6
<
p

15
6<≤15
6
<
p

15

$$3

Answers

Answer:

I would say either the 2,3,4,or 5

Let x represent any year. Write an inequality in terms of x and 1610
that is true only for values of x that represent years after the year the Mali Empire fell.

Answers

The year of the empire fell = 1610.

We are given x as a variable that represents the year after the given year 1610.

We need to setup an inequality for this situation.

Please note: The year after the year number 1610 will have a number that greater than 1610.

Let us make a statement for inequality to be written.

"The year after the 1610 is greater than 1610".

The year after the 1610 is x and gerater than symbol is >.

So, we can setup an inequality as:

x > 1610 : Read as x is greater than 1610.

In a lab, a substance was heated by 48 Degrees Celsius over a period of 8 hours at a constant rate. what was the change in temperature each hour?​

Answers

Answer: The change in temperature each hour was 6 degrees celsius.

Step-by-step explanation: 48 divided by 8 = 6

a game consists of placing seeds in 24 cups. a player puts two seeds in the first cup, four in the second, six in the third and so on. how many seeds will be required altogether if the player continues to the 24th cup in this way?​

Answers

Step-by-step explanation:

The next cup will always have 2 more than the previous one. Continue the pattern of adding two seeds to each cup until you reach the 24th cup like so:

#s on left side = # of seed , #s on right side = # cup

6 | 3    8 | 4      10 | 5      12 | 6     14 | 7    16 | 8     18 | 9          20 | 10        22 | 11

24 | 12     26 | 13       28 | 14      30 | 15     32 | 16    34 | 17    36 | 18     38 | 19

40 | 20      42 | 21         44 | 22     46 | 23    48 | 24

What you want to know is the number of TOTAL SEEDS NEEDED TO PLAY THIS GAME. NOT how many seeds will be in the 24th cup. To find the TOTAL you need to add 2 + 4 + 6 and so on like so:

2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 + 28 + 30 + 32 + 34 + 36 + 38 + 40 + 42 + 44 + 46 + 48 = 600 TOTAL SEEDS TO PLAY THIS GAME. (this is your answer)

6x+3<7-2x
I’m not sure if I’m doing it right so an explanation would be nice

Answers

Answer:

x<0.5

Step-by-step explanation:

this is just like simplifiying equations if you've done that before

first you want to isolate the variable, so you want to combine the values of x (in this case it's 6x and the -2x)

so you can either add 2x to both sides or you can subtract 6x on both sides, in this case ill just add 2x to both sides.

Then you subtract 3 from both sides to get 8x<4

after you get that, you want to divide both sides by 8, and you generally want to do that step last, it makes it easier, and you get x<1/2 or 0.5

just a reminder that with working with inequalities, you want to remember to flip the direction the inequality is whenever you divide by a negative number

W(-5,1) reflect it across x=-3

Answers

Answer:

(-1,1)

Step-by-step explanation:

Round 0.00208815 to 3 significant figures

Answers

= 0.00209 HOPE THIS HELPS!
= 0.00209..... pls give me a brainliest

What is the scale factor for the similar triangle?

Answers

Answer:

4

Step-by-step explanation:

Answer:

third option 1/4

Step-by-step explanation:

G is the bigger triangle with side lengths: 8, 8 and 4

F is the smaller triangle with side lengths: 2, 2 and 1

G to F:

8/x = 2

Rearrange and x would equal 1/4

4/x = 1

Rearrange and x would equal 1/4

The ratio of collectible cards Kyle owns to cards that Zeona owns is 3:2. Zeona has 36 cards. How will the ratio of Kyle’s cards to Zeona’s cards change if they both sell half of their cards? Explain.

Answers

Answer:

It wouldn't.

Step-by-step explanation:

With the ratio, since Zeona has 36 cards, Kyle must have 54. If they each sold half, Kyle would have 27 and Zeona would have 18. So, the ratio would still be 3:2.

A company is re-evaluating the way they produce standard staple strips. Staples are individually cut from one piece of wire then bent and bonded to other staples before being put into boxes for distribution. The company currently uses 8-meter pieces of wire to create these staple strips; however, four other lengths are also available for use. Which is the shortest available wire that can be used to make a staple strip? A. 4-meter piece B. 5-meter piece C. 6-meter piece D. 7-meter piece

Answers

Answer:

Step-by-step explanation:

The given parameters are;

The length currently used to make staple strips by the company = 8-meter pieces

The process of making staples by the company = Cut, bending, and bonding

Therefore, given that the process of manufacturing staple strips are by cutting strips of wire, we have;

The wire most suitable for the manufacture of staple strips is a wire that is a factor of 8

Therefore, among the given options, the wire with length l = 4-meters which is the 8-meter length split into two, is the most suitable, because 4-meter = 8-meter/2, whereby 4 is seen as a factor 8 or 8 = 4 × 2, such that two 4-meter wire strips will make the same quantity of staple pins as one 8-meter strip.

Deal 1: $16.05 for 5 Caramel apples Deal 2: $19.14 for 6 caramel

Answers

Deal 2 is the best deal. Deal 1 is $3.21 per apple but Deal two is $3.19 per apple.
Other Questions
Identify the horizontal and vertical asymptotes, if any, for the graph of f(x) shown. Check all that apply.y = 0y = 1x = 1x = 1 no vertical asymptotesno horizontal asymptotes What is the maximum torque on a 150-turn square loop of wire 18.0 cm on a side that carries a 50.9 A current in a 1.60 T field brainliest for correct answer please help Point A is located at (-5,2). It is translated up 5 and left 3. Please state the location of A'. Eight times the length of a segment x is 5 ft. In Word, tables can be styled much like text can.TrueFalse There are 81 cal in a 3/4 cup serving of chicken noodle soup how many calories are in a 2/3 cup serving? (A) Electricity and MagnetismA). Three point charges are aligned along the x axis as shown inFig. Find the electric field at (a) the position (2, 0) and (b) theposition (0, 2). For w(x)=-2x+7, find the value of x which w(x)=-3 6 times a number is 27 less than the square of that number. Find the positive solution 25An annual report serves to analyze the number of supplies used and how many to order for the following year.2TrueFalse HELP ME PLZZ I NEED HELP WITH THIS!! You and your friends decide to play video games online together on Saturday. One particular game charges a one-time fee of $10 to download and $3.50 per hour of play. 1) Write an equation to represent this situation. 2) How much will it cost you to play the game for 5 hours? Show your work. describe and explain how peristalsis helps ureter to do its function. Since there was power outage, there was darkness and silence in the neighbourhood.write this sentence in more descriptive way show don't tell.I will mark as brainlest Activity In this activity, you will discuss the ideals, artworks, and meaning of the Renaissance. Part A In this lesson, you learned about the Renaissance, a period of great cultural change across Europe. What were the main characteristics of the Renaissance? Write your answer in the form of a bulleted list. NEED YOU GUYS HELP!!! (WILL GIVE BRAINLIEST) What are some ways to stay focused when doing online schooling? Multiply. Enter the product in simplest form.9/68 x 17/6 I need help Type fast Alpha Inc. has receivables from unrelated parties with a face value of $5,000. It transfers these receivables to bank for $4,500, without recourse. It will continue to collect the receivables, depositing them in a non-interest-bearing bank account with the cash flows remitted to the bank at the end of each month. It is not allowed to sell or pledge the receivables to anyone else and is under no obligation to repurchase the receivables from bank. Which of the following is the appropriate treatment for these Accounts receivables? A) It should show these receivables in its Balance Sheet. B) It should amortize these receivables. C) It should derecognize these receivables. D) It should derecognize these receivables if it retains the interest earned on these.