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d1i1m1o1n [39]
3 years ago
5

What is the unit rate for 3 boxes for $5

Mathematics
1 answer:
Andreas93 [3]3 years ago
6 0
I think the answer to your question is
3
/
5
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6.7.37
posledela

Answer:

a. The start-up cost for the teenagers company is $50

b. The number of mugs the teenager must sell to break even are 5 mugs or 25 mugs

c. The number of mugs that will give maximum profit is 15 mugs

d. The profit if she sells 10 mugs is $30

Step-by-step explanation:

The given profit function for selling <em>x</em> number of mugs is presented as follows;

f(x) = -0.4·x² + 12·x - 50

a. The start-up cost in dollars is given by the value of the profit function at the start, where, x = 0, as follows;

Start-up cost = f(0) = -0.4×0² + 12×0 - 50 = -50

The negative sign represents amount put in the business

The start-up cost = (The initial) $50 put into the business.

b. The break even point is the point where, the revenue and costs are equal

At break even point; Revenue = Cost

∴ Profit, at break even point, f(x) = Revenue - Cost = 0

From the profit function, we get;

At the break even point, f(x) = 0 = -0.4·x² + 12·x - 50

Dividing by -0.4 gives;

0/(-0.4) = 0 = (-0.4·x² + 12·x - 50)/(-0.4) = x² - 30 + 125

0 = x² - 30 + 125

∴ (x - 25)·(x - 5) = 0

The number of mugs the teenager must sell before she breaks even, x = 5 mugs or x = 25 mugs.

c. From the general form of a quadratic equation,  which is; y = a··x² + b·x + c, the formula for the x-values at the maximum point is; x = -b/(2·a)

Comparing the profit function to the general form of the quadratic equation we have at the maximum point;

x = -12/(2×(-0.4)) = 15

Therefore, the number of mugs that will give maximum profit, x = 15 mugs.

d. The profit from selling 10 mugs, f(10) is given as follows;

f(10) = -0.4 × 10² + 12 × 10 - 50 = 30

The profit from selling 10 mugs, f(10) = $30

4 0
3 years ago
What is the factored from for -2r-6 PLEASE HELP! WILL MARK BRAINLIEST
Katarina [22]

Answer:

-2(r+3)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Divide 20x^2y^2+4xy^2-8y^2/4x^2y
Ksivusya [100]
I hope this helps you



[20x^2/4x^2y]+[4xy^2/4x^2y]-[8y^2/4x^2y]


[5/y]+[y]-[4y/x^2]
7 0
3 years ago
Sara buys soil from a gardener to fill a planter.The gardener has 1.5 cubic feet of soil to sell for $6. Sara buys just enough s
Travka [436]
The first thing you should do is calculate the volume of the prism.
 We have then:
 V = h * L ^ 2
 Where,
 L: side of the square base.
 h: height.
 Substituting we have:
 V = (0.5) * (1) ^ 2 = 0.5 feet ^ 3.
 Then, we can make the following rule of three:
 1.5 feet ^ 3 ---> 6
 0.5 feet ^ 3 ---> x
 Clearing x we have:
 x = (0.5 / 1.5) * (6) = 2 $
 Answer:
 it will cost Sara 2 $ to completely fill her planter with soil
5 0
3 years ago
There are 28 student desks in a class. Each desk measures 26.17 inches. If you were to line up all the desks end to end how long
nekit [7.7K]

732. 76 inches which would equal 61.06 feet

6 0
3 years ago
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