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.
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Huu hapa ni ufumbuzi wa Kifungu cha 1: a) Bainisha aina ya mazao ya kupanda kwenye ardhi. Step 1: Kokotoa eneo halisi la ardhi. Eneo kwenye ramani ni 8.5 cm^2. Kiwango cha ramani ni 1:1500. Eneo halisi katika cm^2: Eneo halisi = 8.5 cm^2 × (1500)^2 = 8.5 × 2,250,000 cm^2 = 19,125,000 cm^2 Badilisha cm^2 kuwa m^2 (1 m^2 = 10,000 cm^2): Eneo halisi = (19,125,000)/(10,000) m^2 = 1912.5 m^2 Step 2: Linganisha eneo halisi na masharti ya upandaji. Kwa kuwa 1912.5 m^2 < 2000 m^2, mjomba atapanda kahawa na kakao. Jibu la (a): Mjomba atapanda kahawa na kakao. b) Bainisha PIN halisi utakayotumia kutoa pesa. Step 1: Badilisha kiasi kilichohifadhiwa kutoka base nne kwenda base kumi. Kiasi kilichohifadhiwa ni 213_four. 213_four = (2 × 4^2) + (1 × 4^1) + (3 × 4^0) = (2 × 16) + (1 × 4) + (3 × 1) = 32 + 4 + 3 = 39_ten Step 2: Badilisha namba ya base kumi kwenda base tatu ili kupata PIN. 39 ÷ 3 = 13 baki 0 13 ÷ 3 = 4 baki 1 4 ÷ 3 = 1 baki 1 1 ÷ 3 = 0 baki 1 Kwa kusoma mabaki kutoka chini kwenda juu, PIN ni 1110_three. Jibu la (b): PIN halisi ni 1110_three. c) Ni kiasi gani cha pesa kitatumika kununua nguzo za chuma? Step 1: Kokotoa kiasi cha pesa kilichotolewa kwa usafiri na chakula cha mchana. Jumla ya pesa iliyotolewa ni Shs. 1,680,000. Pesa kwa usafiri na chakula cha mchana ni (1)/(4) ya jumla: Pesa kwa usafiri na chakula cha mchana = (1)/(4) × 1,680,000 = 420,000 Shs. Step 2: Kokotoa kiasi kilichobaki baada ya gharama za usafiri na chakula cha mchana. Kiasi kilichobaki = 1,680,000 - 420,000 = 1,260,000 Shs. Step 3: Kokotoa kiasi cha pesa kitakachotumika kununua nguzo za chuma. Pesa kwa nguzo za chuma ni 40\% ya kiasi kilichobaki: Pesa kwa nguzo za chuma = 0.40 × 1,260,000 = 504,000 Shs. Jibu la (c): Kiasi cha pesa kitakachotumika kununua nguzo za chuma ni 504,000 Shs.. d) Ni kiasi gani kinachotarajiwa kutoka mahindi? Step 1: Rejea uamuzi wa mazao kutoka sehemu (a). Kutoka sehemu (a), eneo la ardhi ni 1912.5 m^2, ambayo ni chini ya 2000 m^2. Hivyo, mjomba atapanda kahawa na kakao. Step 2: Bainisha mapato yanayotarajiwa kutoka mahindi. Kwa kuwa mjomba atapanda kahawa na kakao, hatapata mapato yoyote kutoka mahindi. Jibu la (d): Kiasi kinachotarajiwa kutoka mahindi ni 0 Shs.. That's 2 down. 3 left today — send the next one.