I saw youtube video of a guy that installed ubuntu on an android tablet. But I think he did it through an app , similar to how WINE allows you to run windows in linux. I was more thinking if it was possible to use linux only.
The Youtube video which I saw installed Ubuntu as an app, more like a virtual machine, started and displayed over VNC and controlled initially by a terminal app in Android. It was 12.04, but I think it was the ARM version of Ubuntu, and the demonstration I saw was on an HTC Android cellphone. It looked as if this method might be more widely useful, that is not hardware specific, but on the other hand, it was slower and required root access: http://www.youtube.com/watch?v=I0PNsnNe3E0
You could try the pengpad. Mint doesn't support the ARM processors in most Android tablets, you would have to run Debian or Ubuntu or one of the other distributions which support ARM. See https://wiki.ubuntu.com/ARM/TabletList for a list.
Another problem: No tablet that I have seen listed even has a USB port from which you can boot, only micro-SD (possibly mini-USB port, but not for memory devices without modification.)