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R 3:4:5 per 240m L = ? 2+3+5 = 10 = 2/10 x 800 000 = 16000 = 3/10 x 800 000 = 2400 00 = 5/10 x 800 000 = 40 00 00 M=8cm d=4cm 1:6 M:d = 8:4 8:1:6 = 4:x 8/16 = 4/x x = 64/81

Mathematics

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Haya, hapa kuna masuluhisho ya maswali uliyotoa:

Swali R:
Hili linaonekana kuwa swali la kugawanya kiasi fulani cha pesa kulingana na uwiano. Kutokana na hesabu zako, kiasi kinachogawanywa ni 800,000 na uwiano uliotumika ni $2:3:5$.

  1. Tafuta jumla ya sehemu za uwiano.

    Jumla ya sehemu za uwiano ni 2+3+5=102+3+5 = 10.

  2. Gawanya kiasi cha pesa kulingana na kila sehemu ya uwiano.

    Sehemu ya kwanza:

    210×800,000=2×80,000=160,000\frac{2}{10} \times 800,000 = 2 \times 80,000 = 160,000

    Sehemu ya pili:

    310×800,000=3×80,000=240,000\frac{3}{10} \times 800,000 = 3 \times 80,000 = 240,000

    Sehemu ya tatu:

    510×800,000=5×80,000=400,000\frac{5}{10} \times 800,000 = 5 \times 80,000 = 400,000

    Majibu ya swali R ni:

    • Sehemu ya kwanza: 160,000\boxed{160,000}
    • Sehemu ya pili: 240,000\boxed{240,000}
    • Sehemu ya tatu: 400,000\boxed{400,000}

    Swali M:
    Hili ni swali la kutatua uwiano. Umepewa uwiano 8:16=4:x8:16 = 4:x.

  3. Andika uwiano kama sehemu.

    816=4x\frac{8}{16} = \frac{4}{x}
  4. Fanya kuzidisha msalaba (cross-multiplication).

    8×x=16×48 \times x = 16 \times 4 8x=648x = 64
  5. Gawanya pande zote mbili kwa 8 ili kupata thamani ya xx.

    x=648x = \frac{64}{8} x=8x = 8

    Jibu la swali M ni:

    x=8x = \boxed{8}
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