Step-by-step explanation:
3x+5=44
3x=44-5
3x=39
x=39÷3
x=13
Answer: 0.82 laps per minute
Step-by-step explanation:
Lin is running 21 laps in 25.6 minutes.
To find out her speed in laps per minute, divide the distance she has ran by the time it took her to run it.
= Distance / time
= 21 / 25.6
= 0.82 laps per minute
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
Step 1: Convert 
, which is in radians into degrees. To convert it multiply by 
900/12
75
Step 2: 75 degrees isn't on the unit circle but 45 degrees and 30 degrees is. Since 45 + 30 = 75 you can use the cosine of 45 and 30 to find the exact value
cos45 = 
cos30 =
Step 3: Add the cos45 and cos30 to get cos5pi/12
Hope this helped!
