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a 150 watt inverter will easily be handled by the alternator. Don't worry about the battery.
As for your 2 things, Depends on what they are. If you're running a minifridge and an air conditioner, you will blow the fuse in the inverter. If you're running 2 strings of Xmas lights, you'll have no problem at all.
Personaly. I'd look on the 2 devices and find where it says how many watts they use. Then I'd add those 2 numbers together and see if it's more then 150 watts. I'd want 50-100 watts padding, for expansion uses.
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