Chetori?= informal way of asking "How are you?" Haleh Shoma Chetor Ast?= formal way of asking "How are you?"
C'est combien? is an informal way of asking how much something is (costs).
what state are you asking about
You just say: "This is a formal event".
I assume you meant "petition." A petition is a formal written request typically signed by a group of people, asking an individual, organization, or authority to take a certain action or remediate a specific issue. It is a way for the public to demonstrate support or opposition to a cause.
I'm not sure whether you are asking about "formal" (which is an adjective) or "in" (which is a preposition).
Making an appeal means asking for a review or reconsideration of a decision, usually in a formal way, in hopes of changing the outcome.
Are you asking if this expression would be acceptable in formal English? It may not be the worst usage in formal English, but I would look for another way to say it. It is idiomatic, and may not give a consistent meaning to any reading expecting standard usage.
"How art thou" is an old-fashioned way of asking "How are you?" in Old English. It is a formal or poetic way of inquiring about someone's well-being.
I think that it's basically the same but "shall" sounds more formal than "may". may you is asking a question 'may you please do that'. but shall you is a more formal way of saying should you?
"Whence come ye?" is an old-fashioned way of asking "Where do you come from?" It is a more formal or literary way of inquiring about someone's origin or source.
"Comment vous appelez-vous?" in French means "What is your name?" It is a formal way of asking someone's name.