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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Swali la 24: Ikiwa x=0.2, y=0.3, na z=0.9, tathmini kila moja ya misemo ifuatayo. a) xy Step 1: Badilisha thamani za x na y kwenye usemi. xy = 0.2 × 0.3 Step 2: Fanya kuzidisha. 0.2 × 0.3 = 0.06 Jibu: 0.06 b) x+yz Step 1: Badilisha thamani za x, y, na z kwenye usemi. x+yz = 0.2 + (0.3 × 0.9) Step 2: Fanya kuzidisha kwanza. 0.3 × 0.9 = 0.27 Step 3: Fanya kujumlisha. 0.2 + 0.27 = 0.47 Jibu: 0.47 c) (xz)/(y)+y Step 1: Badilisha thamani za x, y, na z kwenye usemi. (xz)/(y)+y = (0.2 × 0.9)/(0.3) + 0.3 Step 2: Fanya kuzidisha kwenye namba. 0.2 × 0.9 = 0.18 Step 3: Fanya kugawanya. (0.18)/(0.3) = 0.6 Step 4: Fanya kujumlisha. 0.6 + 0.3 = 0.9 Jibu: 0.9 d) xy+xz+yz Step 1: Badilisha thamani za x, y, na z kwenye usemi. xy+xz+yz = (0.2 × 0.3) + (0.2 × 0.9) + (0.3 × 0.9) Step 2: Fanya kila kuzidisha. 0.2 × 0.3 = 0.06 0.2 × 0.9 = 0.18 0.3 × 0.9 = 0.27 Step 3: Fanya kujumlisha. 0.06 + 0.18 + 0.27 = 0.51 Jibu: 0.51 Swali la 25: Tathmini kila moja ya misemo ifuatayo. a) 1.025-0.805 Step 1: Fanya kutoa. 1.025 - 0.805 = 0.220 Jibu: 0.22 b) 0.06-0.05 Step 1: Fanya kutoa. 0.06 - 0.05 = 0.01 Jibu: 0.01 c) 0.68-0.031 Step 1: Badilisha 0.68 kuwa sehemu. Weka A = 0.6888... 10A = 6.888... (Eq. 1) 100A = 68.888... (Eq. 2) 100A - 10A = 68.888... - 6.888... 90A = 62 A = (62)/(90) = (31)/(45) Step 2: Badilisha 0.031 kuwa sehemu. Weka B = 0.03111... 100B = 3.111... (Eq. 3) 1000B = 31.111... (Eq. 4) 1000B - 100B = 31.111... - 3.111... 900B = 28 B = (28)/(900) = (7)/(225) Step 3: Fanya kutoa sehemu hizo. A - B = (31)/(45) - (7)/(225) Tafuta denominator ya kawaida (LCM) kwa 45 na 225, ambayo ni 225. (31 × 5)/(45 × 5) - (7)/(225) = (155)/(225) - (7)/(225) = (155 - 7)/(225) = (148)/(225) Jibu: (148)/(225) d) 0.4 ÷ 0.2 Step 1: Fanya kugawanya. 0.4 ÷ 0.2 = (0.4)/(0.2) Step 2: Rahisisha kwa kuzidisha namba na denominator kwa 10. (0.4 × 10)/(0.2 × 10) = (4)/(2) = 2 Jibu: 2 Umebakisha swali moja tu la "Project". Ungependa nisaidie na hilo pia?