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Collect the like terms 4y + 5x - 3y. 10. Find the area of the figure below. 6m 10m. 11. Find the next number in the sequence 2, 4, 7, 9, 12, . 12. Write 44 in Roman numerals. 13. Name the geometric shape below. 14. A trader bought a bag at sh50,000 and sold it at sh65,000. Find the profit.

Mathematics

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Haya hapa majibu ya maswali yako:

9. Collect the like terms 4y+5x−3y4y + 5x - 3y.

  1. Tambua vigezo vinavyofanana.

    Katika usemi 4y+5x−3y4y + 5x - 3y, vigezo vinavyofanana ni 4y4y na −3y-3y.

  2. Unganisha vigezo vinavyofanana.

    4y−3y+5x4y - 3y + 5x (4−3)y+5x(4 - 3)y + 5x 1y+5x1y + 5x y+5xy + 5x

    Jibu la mwisho ni:

    5x+y\boxed{5x + y}

    10. Find the area of the figure below.

    Kielelezo ni pembetatu yenye msingi wa 10m10m na urefu wa 6m6m.

  3. Andika formula ya eneo la pembetatu.

    Eneo la pembetatu ni 12×msingi×urefu\frac{1}{2} \times \text{msingi} \times \text{urefu}.

  4. Badilisha thamani za msingi na urefu kwenye formula.

    Eneo=12×10m×6m\text{Eneo} = \frac{1}{2} \times 10m \times 6m
  5. Hesabu eneo.

    Eneo=12×60m2\text{Eneo} = \frac{1}{2} \times 60m^2 Eneo=30m2\text{Eneo} = 30m^2

    Jibu la mwisho ni:

    30m2\boxed{30m^2}

    11. Find the next number in the sequence 2,4,7,9,12,_2, 4, 7, 9, 12, \_.

  6. Tafuta tofauti kati ya namba zinazofuatana.

    4−2=24 - 2 = 2
    7−4=37 - 4 = 3
    9−7=29 - 7 = 2
    12−9=312 - 9 = 3

  7. Tambua mpangilio wa tofauti.

    Mpangilio wa tofauti ni $2, 3, 2, 3$. Hii inaonyesha kuwa tofauti inayofuata inapaswa kuwa 2.

  8. Ongeza tofauti inayofuata kwenye namba ya mwisho katika mpangilio.

    Namba inayofuata ni 12+2=1412 + 2 = 14.
    Jibu la mwisho ni:

    14\boxed{14}

    12. Write 44 in Roman numerals.

  9. Gawanya namba 44 katika sehemu za makumi na vitengo.

    44=40+444 = 40 + 4.

  10. Badilisha 40 kuwa namba za Kirumi.

    40 inawakilishwa kama XLXL (ambapo L=50L = 50 na X=10X = 10, hivyo 50−10=4050 - 10 = 40).

  11. Badilisha 4 kuwa namba za Kirumi.

    4 inawakilishwa kama IVIV (ambapo V=5V = 5 na I=1I = 1, hivyo 5−1=45 - 1 = 4).

  12. Unganisha sehemu hizo mbili.

    44=XLIV44 = XLIV.
    Jibu la mwisho ni:

    XLIV\boxed{XLIV}

    13. Name the geometric shape below.

    Kielelezo kinaonyesha umbo la pande tatu lenye nyuso sita za mstatili.

    Jina la umbo hili la kijiometri ni:

    Mchemraba Mstatili (Cuboid)\boxed{\text{Mchemraba Mstatili (Cuboid)}}

    14. A trader bought a bag at sh50,000 and sold it at sh65,000. Find the profit.

  13. Tambua bei ya kununulia na bei ya kuuzia.

    Bei ya kununulia (Cost Price) = sh50,000
    Bei ya kuuzia (Selling Price) = sh65,000

  14. Tumia formula ya faida.

    Faida = Bei ya kuuzia - Bei ya kununulia.

  15. Hesabu faida.

    Faida=sh65,000−sh50,000\text{Faida} = \text{sh}65,000 - \text{sh}50,000 Faida=sh15,000\text{Faida} = \text{sh}15,000

    Jibu la mwisho ni:

    sh15,000\boxed{\text{sh}15,000}
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