[adjective] / [verb phrase] / [noun] + 的
[subject] + 是 + [adjective] / [verb phrase] + 的
When the noun is obvious, it can drop and 的 stays behind: the phrase + 的 then means "the one that…" or "the thing that…". English needs "one" or "ones"; Chinese doesn't.
Any modifier that can go before a noun with 的 can stand alone this way: an adjective, a pronoun, a clause.
吃的, 喝的, 穿的 and 用的 mean food, drink, clothes and things to use.
Verb + object + 的 names a person by their work: 开出租车的, 卖菜的, 送快递的. It's casual; to address someone, 师傅 is politer.
是 + adjective + 的 puts something into a class: new rather than old, hot rather than cold. 很 + adjective describes how much.