Answer:
a optionis a correct answer
Let x be the number of pens in a box.
Jill : three full boxes of pen and 2 loose pens. 3x + 2
Ben: two full boxes of pen and 14 loose pens. 2x + 14
Jill and Ben have the same pens.
Jill = Ben
3x+2 = 2x + 14
3x - 2x = 14 - 2
1x = 12
x = 12
To check:
Jill = Ben
3x + 2 = 2(x) + 14
3(12) + 2 = 2(12) + 14
36 + 2 = 24 + 14
38 = 38
There are 12 pens or a dozen of pens in a full box.
1)
Break up the irregular shape into two rectangles
12 * 4.5 = 54
2 * 5 = 10
54 + 10 = 64 cm^2
2)
Break up the irregular shape into a triangle and rectangle
24 * 8 = 192
To get the base of the triangle:
24 - 6 - 6 = 12
To get the height of the triangle:
16 - 8 = 8
1/2(12 * 8) = 48
192 + 48 = 240 yd^2
3)
Separate into triangle and semi circle
To get the base: 8 * 2 = 16
1/2(15 * 16) = 120
(pi (8)^2)/2 = 100.5
120 + 100.5 = 220.5 cm^2
4)
Separate half circle from rectangle
(pi (7.5)^2)/2 = 88.4
7 * 15 = 105
88.4 + 105 = 193.4 m^2
5)
Separate triangle from trapezoid
2.8 * 7 = 19.6
(7+9/2)(3.6) = 28.8
19.6 + 28.8 = 48.4 ft^2
6)
Separate semi circle from trapezoid
(pi(3)^2)/2 = 6.3
(6+10/2)(8) = 64
6.3 + 64 = 70.3 yd^2
Answer:
5
Step-by-step explanation:
Productivity: My candy bar company made 100 million bars last year, sold for $1 each. I also paid [L] people last year, with an average salary of $100K last year. I have overhead cost of $10M. What was my TOTAL productivity (no units, rounded to 2 decimal places)?
Solution:
Total productivity is the average of labour and capital productivity weighted and adjusted to price fluctuations. It is the ratio of total output to the total input. The total productivity is given by the formula:
Total productivity = total output / total input
Total output = Revenue = number of bars sold * price per bar
Total output = 100 million * $1 = $100 million
Total input = Total salary + overhead cost
Total salary = number of people * average salary = 100 *$100000 = $10 million
overhead cost = $10 million
Total input = $10 million + $10 million = $20 million
Total productivity = total output / total input = $100 million / $20 million
Total productivity = 5
First, let's add all the x's.
x + x + x + x + x = 5x
5x - 1 + 1 + 1 + 1
Now, let's add together all the 1's that are being added (not the 1 that is being subtracted from 5x).
1 + 1 + 1 = 3
5x - 1 + 3
3 - 1 = 2
5x + 2
There's no way you can actually solve this unless you know the value of x; without x's value, this is as simplified as the expression is going to get.
Hope this helps!
