Look down your nose at sb: To think that someone is less important than you.
Usage:
A lady interviewing me looked down her nose at me when I told her I had attended public school.
The phrasal verb “work out” means to happen or develop in a particular way.
Some Excerpts:
From TV shows, movies and novels
The Bold and the Beautiful
Susan Flannery(Stephanie Douglas Forrester) used the phrasal verb “work out” while talking to Ashley Jones (Bridget Forrester) in the popular TV show “The Bold and the Beautiful” as shown below: