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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Nantsi indlela yokuphendula imibuzo: Activity 1 1.1 Complete the patterns below and state the rule: a) Step 1: Fumana umahluko phakathi kwamanani alandelelanayo. 84 - 78 = 6 90 - 84 = 6 96 - 90 = 6 Uhluko olungaguqukiyo ngu 6. Step 2: Sebenzisa umthetho ukufumana amanani alandelayo. Umyalelo kukudibanisa u 6 kwinani ngalinye. 96 + 6 = 102 102 + 6 = 108 Amanani alandelayo ngu 102 no 108. a) 78; 84; 90; 96; 102; 108; Rule is Add 6 b) Step 1: Fumana umlinganiselo phakathi kwamanani alandelelanayo. (8)/(2) = 4 (32)/(8) = 4 (128)/(32) = 4 Umlinganiselo olungaguqukiyo ngu 4. Step 2: Sebenzisa umthetho ukufumana amanani alandelayo. Umyalelo kukuphinda-phinda ngo 4 inani ngalinye. 128 × 4 = 512 512 × 4 = 2048 Amanani alandelayo ngu 512 no 2048. b) 2; 8; 32; 128; 512; 2048; Rule is Multiply by 4 1.2 Based on this information, how many kilometres can Xolile expect to drive until the petrol tank is completely empty? Step 1: Fumana ukuba zingaphi iilitha zepetroli ezisetyenziswa kwiikhilomitha ezithile. Jonga itheyibhile: Xa iqhube i 40 km, ipetroli yehla nge 60 - 56 = 4 litres. Xa iqhube i 80 km, ipetroli yehla nge 60 - 52 = 8 litres. Oku kuthetha ukuba i 4 litres zisetyenziswa kwi 40 km. Step 2: Bala ukuba zingaphi iikhilomitha ezihanjwa ngelitha enye yepetroli. Ukuba i 4 litres zihamba i 40 km, ngoko ke i 1 litre ihamba: 40 km4 litres = 10 km/litre Step 3: Bala inani elipheleleyo leekhilomitha ezinokuhanjwa ngetanki epheleleyo. Itanki epheleleyo inee 60 litres. Inani leekhilomitha = Inani leelitha × iikhilomitha ngelitha 60 litres × 10 km/litre = 600 km Xolile can expect to drive 600 km until the petrol tank is completely empty. Activity 2 Ulwazi olunikwe kwi-Activity 2 luchaza indlela uYolanda alungiselela ngayo iitafile kunye nenani labantu abanokuhlala kuzo. Umbuzo ngokwawo awubonakali kwifoto. Nangona kunjalo, singakwazi ukuchonga ipatheni: Itafile e-1: Abantu aba-4 Iitafile ezi-2: Abantu aba-6 Iitafile ezi-3: Abantu aba-8 Iitafile ezi-4: Abantu aba-10 Ipatheni yomthetho wokuhlala ngolu hlobo: Inani labantu = (2 × inani leetafile) + 2 Okanye, P = 2N + 2, apho u P linani labantu kwaye u N linani leetafile. That's 2 down. 3 left today — send the next one.