The hoses from the carbs:
There is one that is the fuel line, which is 5.5mm diameter (ID). There is a smaller one that is the bowl vent line. On the K8 this can go to 1 of 2 places, depending on when the bike was made (i.e., early or later versions). The little hose either goes up and over the airbox to a similar-sized hose (if it is still there?) that goes down behind the airbox to a clip. This is to hold that line firmly behind the airbox so it can pick up higher-pressure, more-still air to feed the bowls. The other version has this hose going just a little bit further to the PCV canister that [originally] sits below the airbox and has other hoses (like to the top of the airbox, the big elbow up there) and to the oil tank.
Often the PCV canisters are gone now as they were made form plastic that cracked and then weeped oil all over things. Then the hoses got plugged/removed/ignored: in that case, then the elbow on top of the airbox should be plugged (it used to be the vacuum source) and the now-open (unless someone beat you to it) vent pipe on the back of the oil tank needs to also be capped off, lest it oil your shoes while riding. You can let the little hose from the carbs dangle, so long as it is behind the airbox somewhere. This usually just takes a longer piece of the small hose to accomplish.