When you throw something into the mix, you're doing something that seems pretty obvious: this clue is easier than it looks. The "Throws into the mix" clue can confuse you if you try to make things too complicated, so let's make this one easier to solve.

I've given as many clues as I can, so now it's time to reveal the answer.

You are looking for the word "ADDS" to fill in the blanks in today's NYT Mini Crossword.

You add things to the mix, someone 'adds' mathematical values together, and I'm sure you've come across quite a few 'ads'. Just add an extra 's'.