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stepan [7]
3 years ago
14

If Susie is 14, what was her age x years ago?

Mathematics
2 answers:
Sonja [21]3 years ago
7 0

Answer:14-x

Step-by-step explanation:hope this helps

Troyanec [42]3 years ago
6 0
14-x
Hope this helps :)
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A farmer with 950 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to o
Gelneren [198K]

Answer:

22,562.5 ft²

Step-by-step explanation:

The largest possible area will be obtained when half the fencing is used for the long side of the 4 pens, so the dimension in that direction is (950 ft)/(2·2) = 237.5 ft.

The other half of the fencing will be used for the 2 ends and 3 partitions, each of which will be (950 ft)/(2·5) = 95 ft.

Then the overall area of the 4 pens is ...

... (237.5 ft)(95 ft) = 22,562.5 ft²

_____

<em>General Solution</em>

Suppose L is the length of fence available, and x is the length of the long side of the enclosed area. For n pens, the enclosed area will be ...

... A = x(L-2x)/(n+1)

For constant values of A, L, n, this describes a downward-opening parabola with zeros at x=0 and x=L/2. The vertex of the parabola (point of maximum area) will be halfway between these zeros, at x = (0 + L/2)/2 = L/4. That is, half the available fence is used in each of the orthogonal directions.

Note that adding partitions in the other direction replaces the 2 in the equation with (m+1), where m is the number of pens between the sides of length x. That is, if there are 4 pens in one direction by 3 pens in the other direction, the area will be

... A = x(L -(3+1)x)/(4+1)

and, once again, we find that half the fence is used in each of the orthogonal directions when we maximize the overall area.

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Answer:

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Step-by-step explanation:

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The base of a triangular prism is a right triangle with a base of 5 inches, a height of 12 inches, and a third side length of 13
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Answer:

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Step-by-step explanation:

SA = LA + 2B     where LA is the lateral area and B is the area of the base

The triangular base has an area of

B = 1/2bh 1/2(5)(12) = 30

LA = ph  where p is the perimeter of the base and h is the height of the prism

LA = (12 + 5 + 13)(21) = 30(21) = 630

SA = 630 + 2(30) = 630 + 60 = 690 sq in

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3 years ago
How to find the mean of percentages
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You add the two numbers and divide them by two
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The inequality log8(2x) &lt; log2(x – 2) can be graphed on the graphing calculator by using the inequalities log8(2x) &lt; y and
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Answer:

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Step-by-step explanation:

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