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NARA [144]
3 years ago
11

Mr. Borkowski ordered 3 boxes of pens for the supply room. There are 12 pens in each box. If there are now a total of 96 pens in

the supply room, including the ones Mr.Borkowski added, how many boxes of pens were already in there before his order arrived?
Mathematics
1 answer:
Sloan [31]3 years ago
4 0

Answer:

11 boxes

Step-by-step explanation:

multiply 3 by 12 then add the product of that to 96 pens then divide the sum which is 132 by 12 and you should get 11.

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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
2 years ago
Please let me know if this is correct and if not what is the correct answer. Thanks
vlada-n [284]
There’s nothing on the picture
6 0
2 years ago
Read 2 more answers
I really really really really really really really really need help
Effectus [21]

The answer would be 3.8.

So, to get 3 to 4, you would have to multiply 3 by something to get to 4. So you would divide 4 by 3 and get 1.3. So then you would divide 5 by 1.3 to solve for k, since k times 1.3 equals 5.

5 ÷ 1.3 = 3.8.

4 0
3 years ago
Suppose the scores of students on an exam are normally distributed with a mean of 244 and a standard deviation of 79. According
Ahat [919]
244 - 165 = 79 . . . . one standard deviation
323 - 244 = 79 . . . . one standard deviation

The range of scores is ±1 standard deviation from the mean. The empirical rule says 
   68% of scores lie in that range.
3 0
3 years ago
What is the volume of a cone with radius 7 cm and height 11 cm? Round your answer to two decimal places.
a_sh-v [17]

Answer:

D. 564.44 cm^3

Step-by-step explanation:

V = (1/3)(pi)r^2h

V = (1/3)(3.14159)(7 cm)^2(11 cm)

V = 564.44 cm^3

5 0
3 years ago
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