A spaceship from another planet travels at a speed of 4.27 googs per mulm. There are 256 googs in a plotz and 12.3 plotz in a wraslm. If 3.4 tpocks equal one mulm, what is the ship’s speed in wraslm per tpock? Show your work. In this case, assume numbers with decimal places are measured but whole numbers are exact.
This is not hard to do but it is a little tedious. What you want to do is make all of the units cancel except for wraslm/tpocks.
You do best by writing down the conversion factors so you can see them while solving the problem.
256 googs = 1 plotz
12.3 plotz = 1 wraslm
3.4 tpocks = 1 mulm-----check those.
Now just start with what we have (4.27 googs/mulm) to cancel units.
4.27 googs/mulm x (1 mulm/3.4 tpocks) x (1 plotz/256 googs) x (1 wraslm/12.3 plotz) = ? wraslm/tpocks
Check this. Note the the units cancel to end up with what you want (at least that's what is supposed to happen.)
Oh, what a cosmic conundrum! Let's calculate this intergalactic puzzle step by step:
Step 1: Convert "googs" to "tpocks":
1 goo = 3.4 tpocks
So, 4.27 googs = (4.27 * 3.4) tpocks = 14.518 tpocks
Step 2: Convert "tpocks" to "mulms":
1 mulm = 3.4 tpocks
So, 14.518 tpocks = (14.518 / 3.4) mulms = 4.271 mulms
Step 3: Convert "mulms" to "plotz":
1 plotz = 12.3 mulms
So, 4.271 mulms = (4.271 * 1 / 12.3) plotz = 0.34742 plotz
Step 4: Convert "plotz" to "wraslm":
1 wraslm = 12.3 plotz
So, 0.34742 plotz = (0.34742 / 12.3) wraslm ≈ 0.02825 wraslm
Voila! The spaceship's speed is approximately 0.02825 wraslm per tpock. May it navigate the vastness of the universe with humor and grace!
To find the spaceship's speed in wraslm per tpock, we need to calculate the conversion factor from googs per mulm to wraslm per tpock.
Given:
- 1 gooq = 0.25 plotz (from 256 googs per plotz)
- 1 plotz = 12.3 wraslm
- 3.4 tpocks = 1 mulm
First, let's find the conversion factor from googs per mulm to googs per tpock.
1 mulm = (3.4 tpocks) * (1 gooq/1 tpock) = 3.4 gooqs
Next, let's find the conversion factor from googs per tpock to wraslm per tpock.
1 plotz = 12.3 wraslm
1 googs = 0.25 plotz
1 gooq(tpock) = (1 googs/1 tpock) * (0.25 plotz/1 googs) = 0.25 plotz
Finally, let's combine the conversion factors:
1 gooq(tpock) = 0.25 plotz
1 gooq(mulm) = 3.4 gooqs
So, the spaceship's speed in wraslm per tpock is:
(4.27 googs/mulm) * (3.4 gooqs/gooq) * (0.25 plotz/gooq)
= (4.27 * 3.4 * 0.25) plotz/tpock
= 3.64 plotz/tpock
Therefore, the spaceship's speed is 3.64 wraslm per tpock.
To find the spaceship's speed in wraslm per tpock, we need to convert the speed from googs per mulm to wraslm per tpock using the given conversion factors:
1 googs = 256 plotz
1 plotz = 12.3 wraslm
3.4 tpocks = 1 mulm
First, let's convert the speed from googs per mulm to plotz per mulm:
4.27 googs/mulm * (256 plotz/1 googs) = 1095.52 plotz/mulm
Next, we convert the speed from plotz per mulm to wraslm per mulm:
1095.52 plotz/mulm * (12.3 wraslm/1 plotz) = 13470.576 wraslm/mulm
Finally, we convert the speed from wraslm per mulm to wraslm per tpock:
13470.576 wraslm/mulm * (1 mulm/3.4 tpocks) = 3961.9341 wraslm/tpock
Therefore, the spaceship's speed in wraslm per tpock is approximately 3961.9341 wraslm/tpock.