Hello, I am trying to go over the math to see how long I can run appliances with my 2000w pure-sine wave inverter and a deep-cycle 12v battery.

Is this correct the way I am going about it?

Let us say I want to run my TV and Xbox which combined use around 250w for 5 hours from an inverter. Watt-hours= Watts x Hours= 250w x 5hours =1250wh Account for inverter effiencey lets say 85% ------>1250/0.85 =1470wh

Since watts = Amps x Volts, divide the watt-hours by the voltage of the battery to get amp-hours of battery. Amp-hours (at 12v) = watt-hours/12v = 1470/12= 122.5amp-hours

[u]and let us say i got a deep-cycle battery that is 130amp-hours, I would be able to theoretically run the appliances for 5 hours?(I later plan on implementing arduino)[/u]