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vlabodo [156]
3 years ago
15

Jack is mowing lawns he mows lawns at a constant rate of 1/3 acre every 3/4 hour at this rate which ffraction re;presents the ac

res jack can mow per hour
Mathematics
1 answer:
Tanzania [10]3 years ago
5 0

Answer:

4/9

Step-by-step explanation:

Given rate is 1/3 acre per 3/4 hours.

To calculate the rate per hour, we have to divide total acres by the fraction of hour

=> \frac{\frac{1}{3} }{\frac{3}{4} }

=> \frac{4}{3*3}

=> 4/9

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A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Four hu
castortr0y [4]

<em>Answer: h = 120 ft;    w = 80 ft </em>

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<em>A = 9600 ft^2</em>

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<em>Step-by-step explanation: Let h and w be the dimensions of the playground. The area is given by:</em>

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<em>A = h*w   (eq1)</em>

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<em>The total amount of fence used is:</em>

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<em>L = 2*h + 2*w + w    (eq2)    (an extra distance w beacuse of the division)</em>

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<em>Solving for w:</em>

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<em>w = L - 2/3*h = 480 - 2/3*h   (eq3)  Replacing this into the area eq:</em>

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<em>We derive this and equal zero to find its maximum:</em>

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<em>   Solving for h:</em>

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<em>h = 120 ft.  Replacing this into eq3:</em>

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<em>w = 80ft</em>

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<em>Therefore the maximum area is:</em>

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<em>A = 9600 ft^2</em>

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a ≥ x              (this means that a is larger than or equal to x)

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