訳無いは英語で？

こんなデカイのがチャリの荷台に乗るわけないだろ。

There's no way one that big is going to go on a bike's luggage rest.

清廉潔白できこえた彼が、汚職なんかに手を染めるわけない。

He has a reputation as being straight as an arrow. He'd never get involved in corruption.

私がいたって彼がいうこと聞く訳ないじゃない。

He never hears what I'm trying to say.

広告に乗せられては駄目だ。あんなものがそんな値段で売れるわけないだろう。

Don't get taken in by their advertising; I don't see how they can sell something like that for that price.

化石燃料は永久に利用できるわけない。

Fossil fuels won't be available forever.

フランス語を話す彼にとってわけないことだ。

It comes natural to him to speak French.