There are 3 feet in a yard. How many yards, as a mixed number, will you drive until you reach this exit?
1 answer:
The number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards
<h3>How to determine the number of yards to drive?</h3>The complete question is added as an attachment
From the attached figure, we have:
Exit = 1000 feet
From the question, we have
3 feet = 1 yard
So, the number of yards is
Number of yard =Exit/3 yards
This gives
Number of yard = 1000/3 yards
Evaluate the quotient
Number of yard = 333 1/3 yards
Hence, the number of yards, as a mixed number, will you drive until you reach this exit is 333 1/3 yards
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Answer:
5 trees should be planted to maximize the yield per acre,
The maximum yield would be 1250
Step-by-step explanation:
Given,
The original number of trees per acre = 20,
Average pounds of nuts by a tree = 60,
Let x be the times of increment in number of trees,
So, the new number of trees planted per acre = 20 + x
∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,
So, the new number of pounds of nut = (60 - 2x)
Thus, the total yield per acre,
Differentiating with respect to t ( time ),
Again differentiating with respect to t,
For maxima or minima,
⇒ 20 - 4x = 0
⇒ 20 = 4x
⇒ x = 5,
For x = 5, Y''(x) = negative,
Hence, Y(x) is maximum for x = 5,
And, maximum value of Y(x) = (20+5)(60 - 10) = 25(50) = 1250,
i.e. 5 trees should be planted to maximize the yield per acre,
and the maximum yield would be 1250 pounds