Their personalities are like oil and water.
oil and water
idiomTwo things which are incapable of mixing or coexisting harmoniously with each other.
We tried to work together on the project, but we were like oil and water.
The two politicians were like oil and water, ensuring that any attempt at a bipartisan agreement would inevitably fail.
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add oil
Synonym of let's go: a cheer of encouragement, support, etc.
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blood in the water
In a competitive situation, the exhibition of apparent weakness or vulnerability by one party, especially when this leads to a feeling of vulnerability or greater pressure to perform on the part of the weak party, or enhanced expectation of victory by the others.
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blood is thicker than water
Family relations and loyalties are stronger than relationships with people who are not family members.
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blow out of the water
To trounce; to defeat thoroughly, as at a game or in battle.
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burn the midnight oil
To work studiously, especially late into the night.
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carbonated water
Water that contains carbon dioxide dissolved in it under pressure and is intended for drinking.
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carry someone's water
To do someone's bidding; to serve someone's interests.
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carry water for
To perform menial tasks for; to serve; to assist; to be forced by politics or pragmatism to endorse or promote a belief, individual, or organization that in reality one does not fully support.