1 g a ll o n = 128 o u n ce 4290 g a ll o n = 3123120 o u n ce 78 o u n ce in 1 h o u r 3123120 o u n ce in x h o u rs 78 x = 3123120 ∣ : 78 c = 40040 h o u rs I t w i ll t ak e 40040 h o u rs .
The pond will take approximately 7,046 hours to drain, which is about 293.58 days, at a rate of 78 ounces per hour.
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==================================================Jawaban Soal Bentuk Sederhana & Substitusi Variabel==================================================1. Bentuk sederhana dari:(6 x⁵ y² z⁷)(3 x² y⁴ z)= (6×3)(x⁵·x²)(y²·y⁴)(z⁷·z)= 18 x⁷ y⁶ z⁸✅ Jawaban: 18 x⁷ y⁶ z⁸--------------------------------------------------2. (p⁸ q¹²) / (p³ q³)= p⁸⁻³ q¹²⁻³= p⁵ q⁹✅ Jawaban: p⁵ q⁹--------------------------------------------------3. ((a² b)/c)³ × ((a⁴ b³)/c²)= (a²)³ (b)³ / (c)³ × (a⁴ b³)/(c²)= a⁶ b³ / c³ × a⁴ b³ / c²= (a⁶·a⁴)(b³·b³)/(c³·c²)= a¹⁰ b⁶ / c⁵✅ Jawaban: a¹⁰ b⁶ / c⁵--------------------------------------------------4. (5 x² y⁻⁵)(6 x⁻⁴ y³)= (5×6)(x²·x⁻⁴)(y⁻⁵·y³)= 30 x⁻² y⁻²✅ Jawaban: 30 x⁻² y⁻²--------------------------------------------------5. (ab²c)⁻³ × (a² bc²)⁻¹= a⁻³ b⁻⁶ c⁻³ × a⁻² b⁻¹ c⁻²= a⁻⁵ b⁻⁷ c⁻⁵✅ Jawaban: a⁻⁵ b⁻⁷ c⁻⁵--------------------------------------------------6. Jika a = 2 dan b = 3(a⁴ b³)/(ab)³Langkah:(a⁴ b³) / (a³ b³)= a⁴⁻³ b³⁻³ = a¹ b⁰ = a→ a = 2✅ Jawaban: 2--------------------------------------------------7. Jika x = 3, y = 2, z = 1(xyz)⁻³ / (x³ y² z³)⁻²Langkah:Sederhanakan pangkat:(xyz)⁻³ = x⁻³ y⁻³ z⁻³ (x³ y² z³)⁻² = x⁻⁶ y⁻⁴ z⁻⁶Maka:(x⁻³ y⁻³ z⁻³) / (x⁻⁶ y⁻⁴ z⁻⁶)= x³ y¹ z³Substitusi:x = 3, y = 2, z = 1 = 3³ × 2 × 1³ = 27 × 2 = 54✅ Jawaban: 54