1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lora16 [44]
3 years ago
8

The sophomore class is planning to sell school mascot puppets to help cover the cost of a class trip. A local supplier will char

ge $76.25 for the design and $2.25 for each puppet ordered. The class plans to sell the puppets for $5. How many puppets must be sold to earn at least $2,000?
Mathematics
1 answer:
kifflom [539]3 years ago
8 0

Answer:

755 or more

Step-by-step explanation:

The profit is the difference between revenue and costs. We want the profit to be $2000 or more, and we have both fixed and variable costs.

Let x represent the number of puppets sold. Then the costs are ...

... 76.25 + 2.25x

The revenue is 5x.

The above-described relationship can then be written as

... 5x -(76.25 +2.25x) ≥ 2000

... 2.75x ≥ 2076.25 . . . . . add 76.25, collect terms

... x ≥ 2076.25/2.75 . . . . divide by the coefficient of x

... x ≥ 755

755 or more puppets must be sold to earn $2000 or more.

You might be interested in
Graph g(x), where f(x)=2x-5 and g(x)=f(x+1)
tigry1 [53]

Answer:

Graph g(x) = 2x - 3

Step-by-step explanation:

Plug in (x+1) to f(x) = 2x - 5:

g(x) = 2(x+1) - 5 = 2x + 2 - 5

g(x) = 2x - 3

4 0
3 years ago
Read 2 more answers
Work out the values of a to e please
baherus [9]

Answer:

Step-by-step explanation:

a=10   (4,0,2,4,3,1,2,3,1,4)

b=4    (7,5,6,9)

c=6    (13,13,13,10,13,12)

d= 5   (17,16,17,17,16)

e=6    (21,23,20,20,21,23)

8 0
2 years ago
What is 32.043 in expanded form
cestrela7 [59]
<span>for writing 32.043, we first should know more information about such a number, 32.043 is a decimal number, 32 is called the integer part, and 043 is decimal part. So every decimal number can be written as a sum of two or more another decimal numbers, for example, 32.043= 30 + 2 + 0.04 + 0.003.</span>
3 0
3 years ago
Which two tables represent the same function?
topjm [15]

Answer:

The 1st and the 5th tables represent the same function

Step-by-step explanation:

* Lets explain how to solve the problem

- There are five tables of functions, two of them are equal

- To find the two equal function lets find their equations

- The form of the equation of a line whose endpoints are (x1 , y1) and

  (x2 , y2) is \frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

* Lets make the equation of each table

# (x1 , y1) = (4 , 8) and (x2 , y2) = (6 , 7)

∵ x1 = 4 , x2 = 6 and y1 = 8 , y2 = 7

∴ \frac{y-8}{x-4}=\frac{7-8}{6-4}

∴ \frac{y-8}{x-4}=\frac{-1}{2}

- By using cross multiplication

∴ 2(y - 8) = -1(x - 4) ⇒ simplify

∴ 2y - 16 = -x + 4 ⇒ add x and 16 for two sides

∴ x + 2y = 20 ⇒ (1)

# (x1 , y1) = (4 , 5) and (x2 , y2) = (6 , 4)

∵ x1 = 4 , x2 = 6 and y1 = 5 , y2 = 4

∴ \frac{y-5}{x-4}=\frac{4-5}{6-4}

∴ \frac{y-5}{x-4}=\frac{-1}{2}

- By using cross multiplication

∴ 2(y - 5) = -1(x - 4) ⇒ simplify

∴ 2y - 10 = -x + 4 ⇒ add x and 10 for two sides

∴ x + 2y = 14 ⇒ (2)

# (x1 , y1) = (2 , 8) and (x2 , y2) = (8 , 5)

∵ x1 = 2 , x2 = 8 and y1 = 8 , y2 = 5

∴ \frac{y-8}{x-2}=\frac{5-8}{8-2}

∴ \frac{y-8}{x-2}=\frac{-3}{6}=====\frac{y-8}{x-2}=\frac{-1}{2}

- By using cross multiplication

∴ 2(y - 8) = -1(x - 2) ⇒ simplify

∴ 2y - 16 = -x + 2 ⇒ add x and 16 for two sides

∴ x + 2y = 18 ⇒ (3)

# (x1 , y1) = (2 , 10) and (x2 , y2) = (6 , 14)

∵ x1 = 2 , x2 = 6 and y1 = 10 , y2 = 14

∴ \frac{y-10}{x-2}=\frac{14-10}{6-2}

∴ \frac{y-10}{x-2}=\frac{4}{4}======\frac{y-10}{x-2}=1

- By using cross multiplication

∴ (y - 10) = (x - 2)

∴ y - 10 = x - 2 ⇒ add 2 and subtract y in the two sides

∴ -8 = x - y ⇒ switch the two sides

∴ x - y = -8 ⇒ (4)

# (x1 , y1) = (2 , 9) and (x2 , y2) = (8 , 6)

∵ x1 = 2 , x2 = 8 and y1 = 9 , y2 = 6

∴ \frac{y-9}{x-2}=\frac{6-9}{8-2}

∴ \frac{y-9}{x-2}=\frac{-3}{6}======\frac{y-9}{x-2}=\frac{-1}{2}

- By using cross multiplication

∴ 2(y - 9) = -1(x - 2) ⇒ simplify

∴ 2y - 18 = -x + 2 ⇒ add x and 18 for two sides

∴ x + 2y = 20 ⇒ (5)

- Equations (1) and (5) are the same

∴ The 1st and the 5th tables represent the same function

3 0
3 years ago
If 3t-7=5t, then 6t=?
lions [1.4K]
3t-7=5t\\\\5t=3t-7\ \ \ \ /-3t\\\\5t-3t=3t-3t-7\\\\2t=-7\ \ \ \ /\cdot3\\\\2t\cdot3=-7\cdot3\\\\6t=-21
7 0
3 years ago
Read 2 more answers
Other questions:
  • The answer to this (C=20+10h) which describes the. cost (c) of renting a canoe, in dollars, as a function of the number hours (h
    13·1 answer
  • The errors in predicting hurricane tracks are given in nautical miles. A statutory mile is 0.86898 nautical mile. Most people li
    8·1 answer
  • Three friends work after school for one month to earn extra money. Amber make $39.85 from walking dogs. Brian washes car and mak
    8·1 answer
  • What Is 9000000000000000000000 +50600606060639302782392782
    7·2 answers
  • Kristin bought 3 oranges for $1.80.<br><br> What was the price per orange?
    13·2 answers
  • Is the answer one solution, infinite solutions or no solution ?
    7·2 answers
  • The blue segment below is a radius of 0. What is the length of the diameter<br> of the circle?
    9·1 answer
  • the ratio of doors to windows is 1:5 . There are 186 doors and windows in a building . HOw many doors and windows are there?
    7·1 answer
  • What are/is the coefficient(s): 47 &gt; 7m - 9
    7·1 answer
  • I’m super tired and can’t figure this out by myself
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!