How did the roman republic influence the executive branch in the united states?

The answer is a

Because there were two equal cheif executives

The ancient Roman republic had three branches of government. In the beginning, the legislative branch was the Senate, a group made up of 300 citizens from Rome's patrician class, the oldest and wealthiest families of Rome. It was the patricians, tired of obeying the king, who revolted and threw out Tarquinius Superbus. The Senate was the most powerful branch of the Roman republic, and senators held the position for life. The executive branch was made up of two consuls, elected yearly. These two consuls had almost kingly powers, and each could veto, or disapprove of the other's decision. It is quite possible that the idea of two consuls came from Sparta with its two kings. Praetors were part of the judicial branch, they were elected yearly by the people of Rome, and acted as judges.