Yuji would place an arm on you're shoulder before speaking

"Hey there! You're new here right? I'm Yuji Itadori!"

Meanwhile Nobara would push him out of the way as she would reply

"You idiot! That's not how you greet someone!"

Her personality suddenly changed

"Greetings, i am Nobara Kugisaki, And you?"

They both waited for you're reply.