Answer:
x=-2
Step-by-step explanation:
The least number of boxes Sharon should buy is 5 boxes.
Step-by-step explanation:
Given,
Number of cards in box = 12
Number of stamps in packages = 20
We will find least common multiple of 12 and 20.
12 = 12,24,36,48,60,.....
20 = 20,40,60,80,....
The LCM of 12 and 20 is 60.
Now,
12 cards = 1 box
60 cards = 
60 cards = 5 boxes
The least number of boxes Sharon should buy is 5 boxes.
Well if I did my math correctly I do believe the perimeter should be 392 ft.
6÷2.5= 2.4
2.4×35=84
8÷2.5= 3.2
3.2×35=112
84×2
112×2
_____
392
you mult. by 2 because it's a room which usually has four walls and I imagined it being a rectangle.
Consider rectangular box with
- length x units (x≥0);
- width 3 units;
- height (8-x) units (8-x≥0, then x≤8).
The volume of the rectangular box can be calculated as

In your case,

Note that maximal possible value of the height can be 8 units (when x=0 - minimal possible length) and the minimal possible height can be 0 units (when x=8 - maximal possible length).
From the attached graph you can see that the greatest x-intercept is x=8, then the height will be minimal and lenght will be maximal.
Then the volume will be V=0 (minimal).
Answer: correct choices are B (the maximum possible length), C (the minimum possible height)
9514 1404 393
Answer:
$562,500 per hour
Step-by-step explanation:
The cost will be a minimum where C'(x) = 0.
C'(x) = 0.56x -0.7 = 0
x = 0.7/0.56 = 1.25
The cost at that production point is ...
C(1.25) = (0.28×1.25 -0.7)1.25 +1 = -0.35×1.25 +1 = 0.5625
The minimum production cost is $562,500 per hour for production of 1250 items per hour.
_____
<em>Additional comment</em>
This is different than the minimum cost <em>per item</em>. This level of production gives a per-item cost of $450. The minimum cost per item is $358.30 at a production level of 1890 per hour.