This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Huu hapa ni utatuzi wa swali la 1: Step 1: Badilisha muda kutoka dakika kwenda masaa. Muda uliotolewa ni 195 dakika. Ili kubadilisha kwenda masaa, tunagawanya kwa 60: T = (195)/(60) masaa T = (13)/(4) masaa Step 2: Tumia fomula ya umbali, kasi na muda. Fomula ni Umbali = Kasi × Muda (D = S × T). Tunapewa: Umbali D = (2x + 30) km Kasi S = (x - 20) km/h Muda T = (13)/(4) masaa Weka thamani hizi kwenye fomula: 2x + 30 = (x - 20) × (13)/(4) Step 3: Tatua mlinganyo ili kupata thamani ya x. Anza kwa kuzidisha pande zote mbili za mlinganyo kwa 4 ili kuondoa sehemu: 4(2x + 30) = 13(x - 20) 8x + 120 = 13x - 260 Kusanya x upande mmoja na namba upande mwingine: 120 + 260 = 13x - 8x 380 = 5x Gawanya kwa 5: x = (380)/(5) x = 76 Step 4: Kokotoa umbali halisi uliosafirishwa. Sasa tumia thamani ya x = 76 kwenye usemi wa umbali D = (2x + 30) km: D = 2(76) + 30 D = 152 + 30 D = 182 km Umbali halisi uliosafirishwa ni 182 km. Tuma swali linalofuata 📸