Afossil 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 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

First make all of your numbers that you are working with into the same unit. I choose mm. Then have this formula 18,900 squared = (180 * h) squared. Then take out the squared and you will have
18,900 = 180 * h. Now bring h to one side and everything else to the other side, this will look like this.
h = 18,900/180
The 180 is now dividing because it had been moved to the other side of the equation.
If you simplify it will look like this.
h = 105
So you have found the height of he back board.

To find the perimeter add all of the heights and lengths together, this will look like this.
(2*180) + (2*105) = 570

So the perimeter is equal to 579 mm