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shutvik [7]
3 years ago
12

Reduce 22/30 to lowest terms and write the numerator in the blank

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
4 0

Answer:

11/15

Step-by-step explanation:

22/30 = 11/15 because they both have a common factor of 2 in the numerator and denominator.

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A unit rate means for one, so in this case they mean for one pound of the horse feed which brand sells the highest. You would divide the cost into the number of pounds for each brand. Now, compare all the brands and see which one is highest.
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How do you simplify this expression?
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The values of the <br>variables
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32^2 +24^2 = 1600
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3 years ago
An apple orchard has an average yield of 40 bushels of apples per tree if tree density is 28 trees per acre. For each unit incre
Mandarinka [93]

Answer:

24 trees per acre

Step-by-step explanation:

Let x be the optimal tree density per acre and y be the number of bushels yield per tree

Since for each unit change of x from 28 trees/acre, we have 2 unit change of y from 40 bushels per tree in the reversed direction

Change of x from 28 is x - 28

Change of y from 40 is y - 40

Therefore we have y - 40 = -2(x - 28) or y = 40 - 2(x - 28) = -2x + 96

The total bushels per acre should be y bushels/tree * x tree/acre. We want to optimize this. Substitute the above equation in for y and we have

T = xy = x(-2x+96)

T = -2x^2 + 96x

To find the maximum value of this, we can take the first derivative and set it to 0

T^{'} = -4x + 96 = 0

4x = 96

x = 24

We know this is a maxima because T{''} = -4 < 0. So T is maximum when x = 24 trees per acre

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4 years ago
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At start:   PE only

At end:  KE and energy lost to friction


PE = KE + E
E  = PE - KE
    = mgh - (1/2)mv^2
    = (40)(9.8)(12) - (.5)(40)(10)^2
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4 0
4 years ago
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