Use plastic bags or containers to keep vegetables fresh in the fridge. Things like carrots dry out in no time in a fridge but stay usable for weeks if you simply keep them in a plastic bag. I've thrown away vegetables for years before figuring this out.
Similarly you can put most vegetables in a glass of water and they'll last a whole lot longer. Where I live vegetables aren't always very fresh and by doing this I can take wilty kale, for example, and make it full and crisp