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Sagot :
Answer:
1. Let the sides of the triangle be 4x, 6x, and 8x. The perimeter is the sum of the sides, so 4x + 6x + 8x = 90. Simplifying, we get 18x = 90, so x = 5. Therefore, the sides are 4(5) = 20 cm, 6(5) = 30 cm, and 8(5) = 40 cm.
2. Let the capacity of the containers be 3x, 4x, and 5x. The total amount of orange juice is 3x + 4x + 5x = 40L. Simplifying, we get 12x = 40, so x = 40/12 = 10/3. Therefore, the capacities are 3(10/3) = 10L, 4(10/3) = 40/3 ≈ 13.33L, and 5(10/3) = 50/3 ≈ 16.67L.
3. The total length of the stick is 90 meters, so the lengths of the two pieces are 10x and 20x where x is a common multiplier. Since 10x + 20x = 90, we have 30x = 90, so x = 3. Therefore, the shorter stick is 10(3) = 30 meters and the longer stick is 20(3) = 60 meters.
4. Let the shares be 4x, 6x, and 8x. Given that the smallest share is P10, we have 4x = 10, so x = 10/4 = 2.5. Therefore, the shares are 4(2.5) = P10, 6(2.5) = P15, and 8(2.5) = P20. The total amount of money shared is 4 + 15 + 20 = P45.
5. Let Jay Jay's weight be 4x, Dwayne's weight be 3x, and Mhadelle's weight be 2x. Given that the total weight is 183 kg, we have 4x + 3x + 2x = 183. Simplifying, we get 9x = 183, so x = 183/9 = 20.33. Therefore, Jay Jay's weight is 4(20.33) ≈ 81.33 kg. Dwayne is 3(20.33) ≈ 60.99 kg and Mhadelle is 2(20.33) ≈ 40.66 kg. Dwayne is approximately 20.33 kg heavier than Mhadelle.
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