Warren Harmon
02/12/2024 · Middle School

36. Broj 2400 podijeli na tri dijela koji su u omjeru \( 3: 5: 8 \).

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Da bismo podijelili broj 2400 na tri dijela u omjeru \( 3: 5: 8 \), prvo trebamo izračunati ukupni broj dijelova u omjeru. Zbroj omjera je: \[ 3 + 5 + 8 = 16 \] Sada možemo izračunati vrijednost jednog dijela: \[ \text{Vrijednost jednog dijela} = \frac{2400}{16} = 150 \] Sada možemo izračunati svaki od dijelova: - Prvi dio (omjer 3): \[ 3 \times 150 = 450 \] - Drugi dio (omjer 5): \[ 5 \times 150 = 750 \] - Treći dio (omjer 8): \[ 8 \times 150 = 1200 \] Dakle, broj 2400 podijeljen na tri dijela u omjeru \( 3: 5: 8 \) daje: - Prvi dio: 450 - Drugi dio: 750 - Treći dio: 1200 Provjerimo zbroj: \[ 450 + 750 + 1200 = 2400 \] Sve je u redu. Rezultat je: \[ 450, 750, 1200 \]

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Broj 2400 podijeljen na tri dijela u omjeru \( 3: 5: 8 \) daje: 450, 750, 1200.
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