Matematika

Pertanyaan

Temen-temen, ada yang bisa bantu jawab ga? Aku nggak ngerti nih..huhu
A. P : 8 = 30 : 48
B. 5/p = 60/84
C. P+1/4 = 96/120
D. 5/3 = 75/6p-3
E. 15/32 = p/p+2
F. 3p/4 = 12-p/6
G. 2 : 9 = p : 3
H. 3/4 : 8 = 9 : p
Maaf yaa banyak.. aku nggak ngerti soalnya.. makasih banyak yaa :D

2 Jawaban

  • a. 5
    b. 7
    c. 66/120
    g. 2/3
  • a.
    p : 8 = 30 : 48
    [tex] \frac{p}{8} = \frac{30}{48}[/tex]
    [tex]\frac{p}{8} = \frac{5}{8}[/tex] --> ruas kanan disederhanakan (dibagi 6)
    8p = 40
    p = [tex] \frac{40}{8} [/tex]
    p = 5

    b.
    [tex] \frac{5}{p} = \frac{60}{84} [/tex]
    [tex] \frac{5}{p} = \frac{5}{7}[/tex] --> ruas kanan disederhanakan (dibagi 12)
    [tex] \frac{5}{p} = \frac{5}{7} [/tex] --> kemudian dikali silang
    p x 5 = 5 x 7
    5p = 35
    [tex]p = \frac{35}{5} [/tex]
    p = 7

    c.
    [tex]p + \frac{1}{4} = \frac{96}{120} [/tex]
    [tex]p + \frac{1}{4} = \frac{4}{5} [/tex] --> ruas kanan disederhanakan (dibagi 24)
    [tex]p = \frac{4}{5} - \frac{1}{4} [/tex]
    [tex]p = \frac{16}{20} - \frac{5}{20} [/tex] --> disamakan penyebutnya
    [tex]p = \frac{11}{20} [/tex]

    d.
    [tex] \frac{5}{3} = \frac{75}{6p-3} [/tex] --> langsung dikali silang aj
    5 x (6p - 3) = 75 x 3
    30p -15 = 225
    30p = 225 +15
    30p = 240
    p = [tex] \frac{240}{30} [/tex]
    p = 8

    e.
    [tex] \frac{15}{32} = \frac{p}{p+2} [/tex] --> dikali silang
    [tex]15(p+2) = 32p[/tex]
    [tex]15p+30 = 32p[/tex]
    [tex]32p-15p = 30[/tex]
    [tex]17p = 30[/tex]
    [tex]p = \frac{30}{17} [/tex]

    f.
    [tex] \frac{3p}{4} = \frac{12-p}{6} \\ 18p = 4(12-p) \\ 18p = 48 -4p \\ 18p -4p = 48\\14p = 48 \\ p= \frac{48}{14} \\[/tex]


    sisanya kerjakan sendiri yaa, pake cara yang udah saya jelasin

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