"An orange and a plate"
This sentence is a bad example but 과/와 are used when the nouns are connected somehow. Peanut butter and jelly is delicious. 땅콩버터와 포도잼은 맛있어요. The student is talking with the teacher (The student and teacher are talking). 학생은 선생님과 이야기하고 있어요. Notice if the noun ends in a vowel you use 와, and if it ends in a consonant you use 과.
Also it's more common to see this in writing. People usually use -(이)랑 or -하고 while speaking.