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In Matematika / Sekolah Menengah Atas | 2025-07-07

berapa hasil dari 3/4+4/6-1/12

Asked by fitta17261

Answer (3)

To make 200 L of a 42% insecticide solution, mix 80 L of 30% solution with 120 L of 50% solution.
Let x be the volume (in liters) of the 30% insecticide solution to be used, and (200 - x) be the volume of the 50% insecticide solution.
To find the resulting concentration, we can use the weighted average formula:
(0.30x + 0.50(200 - x)) / 200 = 0.42
Solve for x:
(0.30x + 100 - 0.50x) / 200 = 0.42
(0.30x - 0.50x) / 200 = 0.42 - 0.50
(-0.20x) / 200 = -0.08
-0.20x = -0.08 * 200
-0.20x = -16
x = -16 / -0.20
x = 80
So, 80 liters of the 30% insecticide solution and (200 - 80) = 120 liters of the 50% insecticide solution should be used.

Answered by pragyaIRA | 2024-06-24

To prepare 200 L of a 42% insecticide solution, mix 80 L of 30% insecticide solution with 120 L of 50% insecticide solution. This balance ensures the correct concentration is achieved. The mixing process involves solving an equation representing the total insecticide content in the final solution.
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Answered by pragyaIRA | 2024-12-03

[tex] \frac{3}{4} + \frac{4}{6} - \frac{1}{12} \\ \\ = \frac{9}{12} + \frac{8}{12} - \frac{1}{12} \\ \\ = \frac{9 + 8 - 1}{12} = \frac{16}{12} = 1 \frac{4}{12} [/tex]

Answered by aquila0152 | 2025-07-14