Answer:
Step-by-step explanation:
multiplying fractions is usually super simple. You just multiply the top numbers and multiply the bottom numbers. So 2/3 * 5/7 = (2*5)/(3*7) = 10/21.
Here you have mixed fractions. For me, the easiest way is to make them improper fractions and then multiply them. So 2 and 3/4 becomes 11/4 and 1 and 13/20 becomes 33/20. Let me know if you don't get that.
Anyway, if we make the unknown fraction x we can rewrite this as an algebraic equation.
(11/4)x = 33/20 Now just multiply both sides by 4 and divide both sides by 11 and you will get
x = 3/5
Again, let me know if there's something you don't understand.
The revenue is given by the unit price * number of units.
Profit = Revenue - Cost = 200x - 500,000 - 80x - 0.003x^2 = 120x - 500,000 - 0.003x^2
For profit to be maximum dP/dx = 0
120 - 0.006x = 0
x = 120/0.006 = 20,000
Therefore, to maximize profit, the firm should produce 20,000 penicillin.
3/5 x 60 = 180/5 = 36 cookies were chocolate.
60-36 = 24 cookies were not chocolate.
24/60 = 0.40
Multiply by 100 to convert decimal to percentage = 40% of the cookies were not chocolate.
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Answer:
.018
Step-by-step explanation:
