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Pepsi [2]
3 years ago
7

the length of a rectangle is 3 units shorter than one -third of the width, x. Which expression represents the perimeter of the r

ectangle? A) 8/3x-6, B) 2/3x -4, C) 2/3x -8, D) 8/3x -2.​
Mathematics
1 answer:
Mariana [72]3 years ago
8 0

Answer:

A) \frac{8}{3} x - 6

Step-by-step explanation:

Let the width of the rectangle be x units.

\therefore \: length \: of \: rectangle =  \frac{1}{3} x - 3 \\ Perimeter \: of \: rectangle  = 2(l + w) \\  = 2  \bigg( \frac{1}{3} x - 3 + x \bigg)\\  = 2  \bigg( x + \frac{1}{3} x - 3 \bigg)\\  = 2  \bigg(  \frac{3x + x}{3}  - 3 \bigg)\\  = 2  \bigg(  \frac{4x}{3}  - 3 \bigg) \\  = 2  \bigg(  \frac{4x}{3}  - 3 \bigg) \\  =   \frac{2 \times 4x}{3}  -2 \times  3  \\  \purple{ \bold{{Perimeter \: of \: rectangle   =  \frac{8}{3} x - 6}}}

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Step-by-step explanation:

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An example of how relative frequency is calculated

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  1. two or more classes  can have the same relative frequency
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  3. The sum of the relative frequencies must be equal to one
  4. The sum of the frequencies and not the relative frequencies is equal to the number of observations.

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Answer:

attached

Step-by-step explanation:

attached

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