fractions, Mathematics

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A car travels 283 1/km in 4 2/3 hours .How far does it go in 1 hour?

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1. Suppose n ≡ 7 (mod 8). Show that n ≠ x 2 + y 2 + z 2 for any x, y, z ε Z. 2. Prove ∀n ε Z, that n is divisible by 9 if and only if the sum of its digits is divisible by 9.

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