fasting
nestis describes people being sent away without having eaten, with concern that they may faint on the journey.
The attested use describes people lacking food when they are about to be sent away; both verses connect that condition with the risk of fainting on the way.
Senses in use
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Without food before being sent away · dominant
The accusative plural masculine form occurs of the crowd being sent away in both verses. In Mark 8:3 the APB renders the outcome as sending them away "hungry" and says they may "faint on the way"; in Matthew 15:32 it renders the clause "send them away fasting" after noting that they have nothing to eat.
In the Anselm Project Bible: The APB presents the condition as "hungry" in Mark 8:3 and "fasting" in Matthew 15:32. These renderings confirm the shared situation of lacking food rather than establish separate senses.