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3 years ago

11.0018 as a mixed number im simpliest form

Mathematics

2 answers:

ANTONII [103]3 years ago

8 0

11.0018 is $\frac{55,009}{5,000}$ or $1 \frac{9}{5,000}$
This is in simplest form.

Hope this helps :)

Butoxors [25]3 years ago

4 0

11 and 9/5000..... :)

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prisoha [69]

Answer:

X=-2or,-3

Step-by-step explanation:

X^2+5x+6=0

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Which of the following equations is equivalent to x - y = 8?

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4 years ago

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aleksklad [387]

Answer:

Dimensions: 125 m x 250 m

Area: 31,250 m²

Step-by-step explanation:

Given information:

Total amount of fencing = 500m
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First, let us assume that the land is rectangular in shape.

Let $y$ = length of the side opposite the river

Let $x$ = length of the other 2 sides of the land

Therefore, we can create two equations from the given information:

Area of land: $A= xy$

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Rearrange the equation for the perimeter of the fence to make y the subject:

$\begin{aligned} \implies 2x + y & = 500\\ y & = 500-2x \end{aligned}$

Substitute this into the equation for Area:

$\begin{aligned}\implies A & = xy\\& = x(500-2x)\\& = 500x-2x^2 \end{aligned}$

To find the value of x that will make the area a maximum, differentiate A with respect to x:

$\begin{aligned}A & =500x-2x^2\\\implies \dfrac{dA}{dx}& =500-4x\end{aligned}$

Set it to zero and solve for x:

$\begin{aligned}\dfrac{dA}{dx} & =0\\ \implies 500-4x & =0 \\ x & = 125 \end{aligned}$

Substitute the found value of x into the original equation for the perimeter and solve for y:

$\begin{aligned}2x + y & = 500\\\implies 2(125)+y & = 500\\250+y & = 500\\y & = 250\end{aligned}$

Therefore, the dimensions that will give Christine the maximum area are:

125 m x 250 m (where 250 m is the side opposite the river)

The maximum area is:

$\begin{aligned}\implies \sf Area_{max} & = xy\\& = 125 \cdot 250\\& = 31250\: \sf m^2 \end{aligned}$

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Step-by-step explanation:

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Answer:

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