Meaning of "cut any ice with me"

[Ganesh]

1) Jane: Sorry you can protest if you like but it doesn't cut any ice with me.

2) He's deeply apologetic

[Kitosdad]

Good morning Ganesh,

1 ) No matter how much you protest, I wont change my opinion.!

2 ) He is so,so,so,so sorry.
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Keep it simple ... Keep it interesting.

[Geo777]

Don't you think it's about time you put your foot down and told them what you really think?

Thank you.
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Slow but sure.

[Inga]

put your foot down
a) to say very firmly that someone must do something or must stop doing something
You'll just have to put your foot down and tell him he can't stay out on school nights.
b) informal to make a car go faster
Longman Dictionary of Contemporary English
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I am an incurable optimist.

[Mixmixi]

I like the comma part Bill.

'2 ) He is so,so,so,so sorry.'

Mixmixi
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Let's make a deal; I'll correct every single one of your grammatical mistakes AND YOU DO THE SAME FAVOUR FOR ME.