Sen to Man c09

Notes
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Soumen -
Very thin white Japanese noodles.
Usually eaten with a dipping sauce, tsuyu.
Refer to Thu, Fri, and Sat on the first page for both.

Four-Flavor Special -
A type of pizza with four types of toppings on the same pizza, with a quarter of it devoted to each.
It's called a "quarter" in katakana in Japanese, which is probably the reason for the "1/4 cut" in her mouth there.
There doesn't seem to be an exact equivalent in English, however, so I just went with a literal description.
https://www.google.com/search?q=クォーター+ピザ&tbm=isch

Penne Gratin -
Penne is a type of pasta. Those cylindrical ones.
Gratin is a culinary technique where the ingredient is topped with a browned crust.
So penne gratin is penne with a crust of cheese and such (I think).