Whats the LCM of 5 and 60?
2 answers:
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Answer:
of oil.
Step-by-step explanation:
Firstly, you need to find the LCD (lowest common denominator), this can be done by factoring the denominators and knowing the multiples.
In this case, you can see that 2 is a factor of 8 so we can simply multiply so that the denominator is 8:
8 ÷ 2 = 4
Now the fractions can be added easily:
= of oil.
Hope this helps!
Answer:
28
Step-by-step explanation:
From the given information:
Let x be the number of trees.
F(x) = (50 +x) (20 - 3x)
F(x) = 1000 - 150x + 20x - 3x²)
F(x) = -3x² - 130x + 1000
Differentiating F(x) with respect to x;
F'(x) = -6x -130
Now; we set F'(x) to be equal to zero to determine the critical value;
-6x - 130 = 0
x = - 130/6
Differentiating F''(x) with respect to x
F''(x) = -6 (<0)
Thus; by the second derivative, the revenue function F(x) is maximum when x = -130/6
Therefore, the number of trees she should plant per acre to maximize her harvest is:
50 + x = 50 - 130/6
= 85/3
28
Therefore, the number of trees per acre to maximize the harvest is 28