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.

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