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Let x be the amount of food Kendall gives to the cat during the rest of the day.
Given that Kendall seeds the cat a total of 4/5 cup of food every day, we have the equation:
1/2 + x = 4/5
To solve for x, first subtract 1/2 from both sides:
x = 4/5 - 1/2
x = 4/5 - 2/5
x = 2/5
Therefore, Kendall gives the cat 2/5 cup of food for the rest of the day.