1
general::
Phrase(s): right away [and] right now
immediately. • John: Take this over to Sue. Bill: Right away. • John: How soon can you do this? Sue: Right away.
McGrawhill's American Idioms And Phrasal Verbs
2
general::
Also, right off. Without delay, immediately, as in Can you bring our dinners right away? We're in a hurry, or We liked her right off. This idiom uses right as an intensifier and away in the sense of "at once," the latter usage dating from the 1500s and surviving only in such phrases as this one and FIRE AWAY. It was first recorded in 1818. Also see RIGHT OFF THE BAT.
American Heritage Idioms