I have a 1989 corolla and it burns gas like crazy and i dont do much

driving any ideas. Also I hear a howling sound comming from either the engine or

around the tires when driving, then the sound goes away??????????

please advise

Can't tell you what the noise is without hearing it.
As for sucking down the fuel, if it has not been preformed yet, do the basics. New plugs, SP wires, dist cap, oil, fuel, and air filter, etc.
Jack up each end and check for brake drag and that all your bearings are good. Bearings be the cause of the noise too.
That should at least get you started.

Can you tell me if I should not be driving in the city with the overdrive on. Could that be giving be bad milage?

Most Japanese cars go into overdrive early. This is how they get their great mileage. You should drive in this position 98% of the time.

The only time you don't use overdrive is one, when you tow, (drive slower, and spare the weaker overdrive planetary section from the punishing extra tow weight) or two, you are in a stop and go environment where your speed is constantly modulating between 15 mph and +40 mph where you are constantly changing gears thus forcing excessive shifting (that's called wear and tear) of the automatic. Incidently constant speed highway driving allows the fewest number of shifts, and better cooling, hence is easier on automatics than city driving.

Note that this probably doesn't apply to the new continuously shifting variable speed automatics which work on a different desigh principle.

I have the SAME problem with my Supra !!! Must be my heavy foot !!!!

Try the tune-up like grabbag previously stated. And leave the O/D on.

Brian