Question

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.

Answer 1

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 length 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