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A family used two-fifths of its monthly income on school fees. Three-quarters of the remain amount was used on family upkeep while the rest was invested. The family invested Ksh 13, 500 monthly. Calculate the amount of money the family used on school fees every month.

Mathematics

ScanSolve AI Answer

Answer

8\text{8}

Step-by-step solution

3 steps

Huu hapa ni utatuzi wa swali la 4:

Tunatakiwa kutathmini usemi 10000.01282001000 \sqrt{\frac{0.0128}{200}} bila kutumia jedwali au kikokotozi.

  1. Rahisisha sehemu ndani ya mzizi wa mraba.

    0.0128200\frac{0.0128}{200}

    Ili kurahisisha hesabu, tunaweza kuandika 0.0128 kama 128×10−4128 \times 10^{-4}.

    128×10−4200=1282×100×10−4=64100×10−4=64×10−2×10−4=64×10−6\frac{128 \times 10^{-4}}{200} = \frac{128}{2 \times 100} \times 10^{-4} = \frac{64}{100} \times 10^{-4} = 64 \times 10^{-2} \times 10^{-4} = 64 \times 10^{-6}

    Hii ni sawa na 0.000064.

  2. Tafuta mzizi wa mraba wa namba iliyorahisishwa.

    0.000064=64×10−6\sqrt{0.000064} = \sqrt{64 \times 10^{-6}}

    Tunajua kwamba 64=8\sqrt{64} = 8 na 10−6=10−3\sqrt{10^{-6}} = 10^{-3}.

    64×10−6=8×10−3=0.008\sqrt{64 \times 10^{-6}} = 8 \times 10^{-3} = 0.008
  3. Zidisha matokeo kwa 1000.

    1000×0.0081000 \times 0.008 1000×0.008=81000 \times 0.008 = 8

    Jibu la mwisho ni:

    8\text{8}
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