A mixed economy means that part of the economy is left to the free market, and is part of it is managed by the government. Mixed economies start from the basis of allowing private enterprise to run most businesses. In reality, most economies are mixed, with varying degrees of state intervention .
I'm somewhat confused at this question, but will give my best to answer it.
Spartan soldiers helped save retreating members of the Greek army:
against a force of three hundred Persian troops - this surely is false, as there never was a three hundred strong Persian force.
against the strength of the Athenian navy - this doesn't make much sense either, as the Athenian navy was Greek, so there's no reason for Spartan soldiers to defend greeks against the Athenian navy.
at the Battle of Marathon - the Spartans were not involved in this battle as they were celebrating a religious festival at the time.
The most likely answer is therefore at the Battle of Thermopylae, where a small Spartan contingent of soldiers stayed to defend the frontiers of their borders in order to enable the rest of the army that was with them at the time, to retreat.
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The plague had an important effect on the relationship between the lords who owned much of the land in Europe and the peasants who worked for the lords.
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