Вопрос:

Решите пропорции.

Ответ:

Решаем пропорции:




  1. Д:


    • 0,4 : y = 2 : 9


    • y = (0,4 * 9) / 2


    • y = 3,6 / 2


    • \(y = 1,8\)




  2. Е:


    • \(\frac{x}{6} = \frac{5,1}{17}\)

    • \(x = \frac{6 \cdot 5,1}{17}\)

    • \(x = \frac{30,6}{17}\)

    • \(x = 1,8\)




  3. Ж:


    • 6 : 7 = x : 0,7


    • \(x = \frac{6 \cdot 0,7}{7}\)

    • \(x = \frac{4,2}{7}\)

    • \(x = 0,6\)




  4. 3:


    • \(\frac{5,4}{18} = \frac{b}{7}\)


    • \(b = \frac{5,4 \cdot 7}{18}\)


    • \(b = \frac{37,8}{18}\)


    • \(b = 2,1\)




  5. Д:

    • 13 : 15 = 2,6 : x

    • \[x = \frac{15 \cdot 2,6}{13}\]

    • \(x = \frac{39}{13}\)

    • \(x = 3\)




  6. Е:

    • \[\frac{13}{x} = \frac{7}{1,4}\]

    • \(x = \frac{13 \cdot 1,4}{7}\)

    • \(x = \frac{18,2}{7}\)

    • \(x = 2,6\)




  7. Ж:

    • \[\frac{11}{5,5} = \frac{16}{c}\]

    • \(c = \frac{16 \cdot 5,5}{11}\)

    • \(c = \frac{88}{11}\)

    • \(c = 8\)




  8. 3:

    • a : 0,5 = 7 : 5

    • \(a = \frac{0,5 \cdot 7}{5}\)

    • \(a = \frac{3,5}{5}\)

    • \(a = 0,7\)




  9. Д:

    • 13 : 20 = 2,6 : a

    • \(a = \frac{20 \cdot 2,6}{13}\)

    • \(a = \frac{52}{13}\)

    • \(a = 4\)




  10. Е:

    • 14 : 9 = y : 1,8

    • \(y = \frac{14 \cdot 1,8}{9}\)

    • \(y = \frac{25,2}{9}\)

    • \(y = 2,8\)




  11. Ж:

    • \[\frac{3,8}{19} = \frac{y}{3}\]

    • \(y = \frac{3,8 \cdot 3}{19}\)

    • \(y = \frac{11,4}{19}\)

    • \(y = 0,6\)




  12. 3:

    • \[\frac{a}{13} = \frac{3,2}{14}\]

    • \(a = \frac{13 \cdot 3,2}{14}\)

    • \(a = \frac{41,6}{14}\)

    • \(a = 2,97\) (округлённо)