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16 December, 16:07

A fossil is 254 millimeters long. How many meters long is the fossil? Enter your answer, as a decimal, in the box.

The length of a rectangle is one unit shorter than one-sixth of the width, x.

Which expression represents the perimeter of the rectangle?

7/3x-2

7/3x-8

1/3x-2

13x-4

A machine factory produces 2 parts per second. One shift is 10 hours long.

What is the production rate in parts per shift?

Enter your answer in the box.

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Answers (1)
  1. 16 December, 18:07
    0
    1. In the metric system of the SI unit meters, 1 meter is equal to 1,000 millimeter. So, the conversion solution is as follows:

    254 mm * (1 m/1,000 mm) = 0.254 m

    2. The perimeter of a rectangle is equal to

    P = 2L + 2W

    where

    L is the length

    W is the width

    Since the l ength of a rectangle is one unit shorter than one-sixth of the width, x, the equation would be

    W=x

    L = 1/6x - 1

    Substituting,

    P = 2 (1/6x - 1) + 2x

    P = 1/3x - 2 + 2x

    P = 7/3x - 2

    3. The given data is 2 parts per second. To determine the parts per shift, we apply the dimensional analysis approach. The solution is as follows:

    (2 parts/second) * (3,600 s/1 h) * (10 h/shift) = 72,000 parts per shift
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