They're called vent hoses.  they stick up into the frame.

Hello, I've got a question too,

We just picked up an '86 savage that is in need of some TLC.The issue we are facing now is it will run at idle with choke full ON, will not allow any throttle movement without coughing out. Will not stay idling without choke in full on position. We cleaned carb carefully and thoroughly, now the vacuum hose that opens the fuel petcock seems to pressure up and blow off!! CRAZY

Any input would be great,Thanks

Mike      

I had a similar issue, mine would start with the choke full on, and some throttle assistance.  Within a few seconds it would start to sputter but would rev when given throttle.  I changed the vac hose so that was new as well as the fuel hose was new.  When I finally gave up and did a full on overhaul, the problem ended up being rust flakes clogging the stock petcock.  There was a decent amount of rust built up in my fuel tank and there was some rust flakes built up in the bottom screen of the petcock impeeding fuel flow.  It barely trickled fuel when the fuel hose was disconnected to the carb and the petcock was switched to prime.  I switched to a raptor petcock and plugged the vac port in the carb.  If you look at a raptor petcock the fuel draw tube is much better than our stock petcock and has a screen 360* around the draw tube, both normal and reservoir tubes.  Runs like a top now and no sputtering whatsoever.  HTH anyone with a sputtering or poorly running condition.

-matt