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
Hatua ya 1: Badilisha umbali wote kuwa desimita (dm). Tunatumia viwango vifuatavyo vya ubadilishaji: 1 \, m = 10 \, dm 1 \, cm = 0.1 \, dm 1 \, hm = 1000 \, dm 1 \, dam = 100 \, dm Kutoka Nyumbani hadi Shuleni: 2 \, m \, 8 \, dm \, 5 \, cm 2 \, m = 2 × 10 \, dm = 20 \, dm 5 \, cm = 5 × 0.1 \, dm = 0.5 \, dm Jumla ya umbali kutoka Nyumbani hadi Shuleni = 20 \, dm + 8 \, dm + 0.5 \, dm = 28.5 \, dm Kutoka Shuleni hadi Sokoni: 13 \, dm (tayari iko katika desimita) Kutoka Sokoni hadi Nyumbani: 11 \, hm \, 9 \, dam 11 \, hm = 11 × 1000 \, dm = 11000 \, dm 9 \, dam = 9 × 100 \, dm = 900 \, dm Jumla ya umbali kutoka Sokoni hadi Nyumbani = 11000 \, dm + 900 \, dm = 11900 \, dm Hatua ya 2: Kokotoa jumla ya umbali unaofunikwa kwa siku moja. Nyambura huenda Nyumbani Shuleni asubuhi, na Shuleni Sokoni Nyumbani jioni. Kwa hivyo, umbali wa kila siku = (Nyumbani hadi Shuleni) + (Shuleni hadi Sokoni) + (Sokoni hadi Nyumbani) Umbali wa kila siku = 28.5 \, dm + 13 \, dm + 11900 \, dm Umbali wa kila siku = 11941.5 \, dm Hatua ya 3: Kokotoa jumla ya umbali unaofunikwa kwa wiki moja. Wiki ina siku 7. Umbali wa wiki = Umbali wa kila siku × 7 Umbali wa wiki = 11941.5 \, dm × 7 Umbali wa wiki = 83590.5 \, dm Jibu la mwisho ni: 83590.5 \, dm 3 done, 2 left today. You're making progress.