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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.

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URGENT!!!! The area of a rectangular floor is 80 square feet. The length of the floor is 2 feet less than the width of the floor
KatRina [158]

Answer:

The width of the floor is 10 ft.

Step-by-step explanation:

First, you have to form expressions of width and length in terms of w. With the given information :

width = w ft

length = (w - 2) ft

Given that the area of rectange is A = length × width so you have to subtitute the expressions and value into the formula :

A = l × w

80 = (w - 2) × w

w(w - 2) = 80

w² - 2w = 80

w² - 2w - 80 = 0

(w + 8)(w - 10) = 0

w + 8 = 0

w = -8 (rejected)

w - 10 = 0

w = 10

3 0
2 years ago
Cual es la ecuacion lineal de estos infinita solucion o no solucion<br>​
coldgirl [10]

Cuando has simplificado la ecuación lo mas posible y las expresiones de los dos lados quedan iguales, hay soluciones infinitas.  Pero, dado que lo has simplificado y son diferentes, no hay solución.

1.) 7x = 12 + 7x - 12

=> 7x = 7x => infinita solución

2.) x - 11 = 11 + x

=> x = 22 + x => no solución

3.) 2(4x - 6) = 8(x + 2)

=> 8x - 12 = 8x + 16 => 8x = 8x + 28 => no solución

4.) 2x - 9 = 2x - 9

=> infinita solución

5.) 8 + 4x = 4x + 10

=> 4x = 4x - 2 => no solución

6 0
2 years ago
Please help!!
timofeeve [1]

Answer:

y = 2/3x

Step-by-step explanation:

So we know, when lines are perpendicular that they share the same slope. The slope in the equation of y = 2/3x + 7 is 2/3x. So, we have our slope. Now, we just need to find our b. We plug in the point that you gave us into the equation y = mx + b.

3 = 2/3(2) + b

we multiply the denominator 3 by 2, then divide that by the numerator 2.

3 = 3 + b

subtract 3 from itself and from the opposite side of the equal side 3.

0 = b

in the end, there is no b for this equation. Our answer is

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6 0
3 years ago
In lancaster, the library is 9 miles due south of the courthouse and 4 miles due west of the
skad [1K]

use brainly to find the answer

8 0
2 years ago
X − 3 − 2(6 − 2x) = 2(2x − 5)
Finger [1]

Multiply the first bracket by -2

Multiply the second bracket by 2

x-3-12+4x= 4x-10

- negative number times + positive number= - negative number

- negative number times -negative number = + positive number

x+ 4x-3-12= 4x-10

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5x-4x-15= 4x-4x-10

x-15= -10

Move -15 to the other side

x-15+15= -10+15

x= 5

Answer : x= 5

7 0
3 years ago
Read 2 more answers
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