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How many more students preferred apples than oranges?

Mathematics

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Haya hapa majibu ya maswali yaliyobaki:

  1. Hesabu ujazo wa mchemraba hapa chini katika mita za ujazo. Mchemraba una urefu wa upande mmoja wa 12 m.
  1. Tumia fomula ya ujazo wa mchemraba, V=upande3V = \text{upande}^3.

    $$
    V = (12 \text{ m})^3
    $$
    
  2. Hesabu ujazo.

    $$
    V = 12 \text{ m} \times 12 \text{ m} \times 12 \text{ m}
    $$
    $$
    V = 1,728 \text{ m}^3
    $$
    Ujazo wa mchemraba ni: $\boxed{1,728 \text{ m}^3}$
    

    14. Pata nambari inayokosekana katika mfuatano: 2, 6, 18, 54, ____

  3. Chunguza muundo wa mfuatano.

    Kila nambari inayofuata inapatikana kwa kuzidisha nambari iliyopita kwa 3. * 2×3=62 \times 3 = 6 * 6×3=186 \times 3 = 18 * 18×3=5418 \times 3 = 54

  4. Tumia muundo huo kupata nambari inayofuata.

    $$
    54 \times 3 = 162
    $$
    Nambari inayokosekana ni: $\boxed{162}$
    

    15. Pizza imekatwa vipande 8 sawa. Ikiwa John anakula vipande 3, ni sehemu gani ya pizza imebaki?

  5. Pata idadi ya vipande vilivyobaki.

    $$
    \text{Vipande vilivyobaki} = \text{Jumla ya vipande} - \text{Vipande vilivyoliwa}
    $$
    $$
    \text{Vipande vilivyobaki} = 8 - 3 = 5
    $$
    
  6. Andika sehemu ya pizza iliyobaki.

    $$
    \text{Sehemu iliyobaki} = \frac{\text{Vipande vilivyobaki}}{\text{Jumla ya vipande}}
    $$
    $$
    \text{Sehemu iliyobaki} = \frac{5}{8}
    $$
    Sehemu ya pizza iliyobaki ni: $\boxed{\frac{5}{8}}$
    

    16. Hesabu thamani ya 15% ya 200.

  7. Badilisha asilimia kuwa sehemu au desimali.

    $$
    15\% = \frac{15}{100}
    $$
    
  8. Zidisha sehemu hiyo na 200.

    $$
    \frac{15}{100} \times 200
    $$
    $$
    15 \times 2 = 30
    $$
    Thamani ni: $\boxed{30}$
    

    17. Pata wastani wa nambari zifuatazo: 10, 20, 30, 40, 50.

  9. Jumuisha nambari zote.

    $$
    \text{Jumla} = 10 + 20 + 30 + 40 + 50 = 150
    $$
    
  10. Hesabu idadi ya nambari.

    Kuna nambari 5.

  11. Gawanya jumla kwa idadi ya nambari ili kupata wastani.

    $$
    \text{Wastani} = \frac{\text{Jumla}}{\text{Idadi ya nambari}} = \frac{150}{5}
    $$
    $$
    \text{Wastani} = 30
    $$
    Wastani wa nambari hizo ni: $\boxed{30}$
    

    18. Tatua kwa y: 2y−4=102y - 4 = 10.

  12. Ongeza 4 pande zote mbili za mlinganyo.

    $$
    2y - 4 + 4 = 10 + 4
    $$
    $$
    2y = 14
    $$
    
  13. Gawanya pande zote mbili kwa 2.

    $$
    \frac{2y}{2} = \frac{14}{2}
    $$
    $$
    y = 7
    $$
    Thamani ya $y$ ni: $\boxed{7}$
    

    19. Ni wanafunzi wangapi zaidi walipendelea tufaha kuliko machungwa?

  14. Soma grafu ya pau ili kupata idadi ya wanafunzi waliochagua kila tunda.

    *   Wanafunzi waliochagua tufaha (Apples): 8
    *   Wanafunzi waliochagua machungwa (Oranges): 6
    
  15. Tafuta tofauti kati ya idadi ya wanafunzi waliochagua tufaha na machungwa.

    $$
    \text{Tofauti} = \text{Wanafunzi waliochagua tufaha} - \text{Wanafunzi waliochagua machungwa}
    $$
    $$
    \text{Tofauti} = 8 - 6 = 2
    $$
    Wanafunzi 2 zaidi walipendelea tufaha kuliko machungwa. $\boxed{2}$
    
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