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I am Lyosha [343]
3 years ago
6

P0lzzzzzzzzzzzz need help now

Mathematics
1 answer:
Elanso [62]3 years ago
3 0

Answer:

A

Step-by-step explanation:

Equation: 4x+4y=20

The slope-intercept form is:

y=mx+b

So, in the equation given:

4x+4y=20

4y=20-4x

Divide both sides by 4

y=5-x

Slope-intercept form:

y=-x+5

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school teacher and needs 22 pieces of wood, 3 over 8 ft long, for a class project. If he has a 9-ft board from which to cut the
tiny-mole [99]

Answer:

Yes, he will have enough 3 over 8 ft pieces for his class.

Step-by-step explanation:

Given:

Number of wood required = 22

Length of each wood, l=\frac{3}{8}\textrm{ ft}

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Therefore, the number of woods that can be made using the given board is given as:

\textrm{Number of woods made}=\frac{\textrm{Total length of board}}{\textrm{Length of each wood}}\\\textrm{Number of woods made}=\frac{L}{l}=\frac{9}{\frac{3}{8}}=9\times \frac{8}{3}=\frac{72}{3}=24

So, he can make 24 woods of length \frac{3}{8}\textrm{ ft} using the 9 ft board. But he has to make only 22 pieces.

Therefore, he has enough of the wood to make the required number of pieces.

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3 years ago
If an open box has a square base and a volume of 115 in.3 and is constructed from a tin sheet, find the dimensions of the box, a
Karolina [17]
Let h = height of the box,
x = side length of the base.

Volume of the box is  V=x^{2} h = 115. 
So h = \frac{115}{ x^{2} }

Surface area of a box is S = 2(Width • Length + Length • Height + Height • Width).
So surface area of the box is
S = 2( x^{2}  + hx + hx)  \\ = 2 x^{2}  + 4hx  \\  = 2 x^{2}  + 4( \frac{115}{ x^{2} } )x
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The surface are is supposed to be the minimum. So we'll need to find the first derivative of the surface area function and set it to zero.

S' = 4x- \frac{460}{ x^{2} }  = 0
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Then h=  \frac{115}{4.86^{2}} = 4.87
So the box is 4.86 in. wide and 4.87 in. high. 

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bearhunter [10]
The difference between the minimum data point and the maximum data point is called the range. This is a measure of spread.
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