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Add: 3/8 + 1/4 Today is friday. what day of the week was it 58 days ago? Find the value of n in figure

Mathematics

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Answer

58\frac{5}{8}

Jumatano\text{Jumatano}

15∘15^\circ

Step-by-step solution

9 steps

Haya master, hapa kuna masuluhisho ya maswali mengine:

4. Add: 38+14\frac{3}{8} + \frac{1}{4}

Ili kujumlisha sehemu hizi, tunahitaji kuwa na denominator (kigawanyo) cha kawaida.

  1. Tafuta kigawanyo cha kawaida kidogo (LCM) cha 8 na 4.

    LCM ya 8 na 4 ni 8.

  2. Badilisha sehemu ya pili, 14\frac{1}{4}, ili iwe na kigawanyo cha 8.

    Kuzidisha nambari na kigawanyo kwa 2: 1×24×2=28\frac{1 \times 2}{4 \times 2} = \frac{2}{8}.

  3. Jumlisha sehemu hizo mbili.

    38+28=3+28\frac{3}{8} + \frac{2}{8} = \frac{3+2}{8} 3+28=58\frac{3+2}{8} = \frac{5}{8}

    Jibu la mwisho:

    58\boxed{\frac{5}{8}}

    5. Today is Friday. What day of the week was it 58 days ago?

    Kuna siku 7 katika wiki. Ili kujua siku iliyopita, tunahitaji kujua ni siku ngapi zimepita baada ya wiki kamili.

  4. Gawanya idadi ya siku (58) kwa idadi ya siku katika wiki (7).

    58÷758 \div 7
  5. Tafuta salio la mgawanyiko.

    58=7×8+258 = 7 \times 8 + 2

    Salio ni 2. Hii inamaanisha kwamba siku 58 zilizopita ni sawa na wiki 8 kamili na siku 2 zaidi.

  6. Hesabu nyuma siku 2 kutoka Ijumaa.

    • Siku 1 nyuma kutoka Ijumaa ni Alhamisi.
    • Siku 2 nyuma kutoka Ijumaa ni Jumatano.

    Jibu la mwisho:

    Jumatano\boxed{\text{Jumatano}}

    6. Find the value of n in figure.

    Kielelezo kinaonyesha mistari miwili sambamba iliyokatwa na mstari mmoja (transversal). Pembe za ndani zilizopo upande mmoja wa mstari wa transversal (consecutive interior angles) hujumlisha 180∘180^\circ.

  7. Tengeneza mlinganyo kwa kujumlisha pembe mbili za ndani zilizopo upande mmoja wa mstari wa transversal na kuziweka sawa na 180∘180^\circ.

    105∘+(n+60∘)=180∘105^\circ + (n + 60^\circ) = 180^\circ
  8. Unganisha nambari kwenye upande wa kushoto wa mlinganyo.

    105∘+60∘+n=180∘105^\circ + 60^\circ + n = 180^\circ 165∘+n=180∘165^\circ + n = 180^\circ
  9. Toa 165∘165^\circ kutoka pande zote mbili za mlinganyo ili kupata thamani ya nn.

    n=180∘−165∘n = 180^\circ - 165^\circ n=15∘n = 15^\circ

    Jibu la mwisho:

    15∘\boxed{15^\circ}
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