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Математика37. \(\frac{a}{25} + \frac{21}{25} = 1\) 38. \(\frac{7}{12} + q = 1\) 39. \(x + \frac{5}{22} = \frac{15}{22}\) 40. \(1 - \frac{a}{30} = \frac{11}{30}\) 41. \(1 - q = \frac{4}{15}\) 42. \(x - \frac{17}{150} = \frac{13}{150}\) 43. \(\frac{a}{13} - \frac{2}{13} = 1\) 44. \(q + \frac{7}{16} = 1\) 45. \(x + \frac{28}{150} = \frac{78}{150}\) 46. \(\frac{a}{19} - 1 = \frac{1}{19}\) 47. \(1 - q = \frac{13}{21}\) 48. \(x - \frac{52}{270} = \frac{38}{270}\)
Ответ:
Пошаговое решение:
37.
\[ \frac{a}{25} + \frac{21}{25} = 1 \]
\[ \frac{a}{25} = 1 - \frac{21}{25} \]
\[ \frac{a}{25} = \frac{25}{25} - \frac{21}{25} \]
\[ \frac{a}{25} = \frac{4}{25} \]
\[ a = 4 \]
Ответ: a = 4
38.
\[ \frac{7}{12} + q = 1 \]
\[ q = 1 - \frac{7}{12} \]
\[ q = \frac{12}{12} - \frac{7}{12} \]
\[ q = \frac{5}{12} \]
Ответ: q = \(\frac{5}{12}\)
39.
\[ x + \frac{5}{22} = \frac{15}{22} \]
\[ x = \frac{15}{22} - \frac{5}{22} \]
\[ x = \frac{10}{22} \]
\[ x = \frac{5}{11} \]
Ответ: x = \(\frac{5}{11}\)
40.
\[ 1 - \frac{a}{30} = \frac{11}{30} \]
\[ -\frac{a}{30} = \frac{11}{30} - 1 \]
\[ -\frac{a}{30} = \frac{11}{30} - \frac{30}{30} \]
\[ -\frac{a}{30} = -\frac{19}{30} \]
\[ a = 19 \]
Ответ: a = 19
41.
\[ 1 - q = \frac{4}{15} \]
\[ -q = \frac{4}{15} - 1 \]
\[ -q = \frac{4}{15} - \frac{15}{15} \]
\[ -q = -\frac{11}{15} \]
\[ q = \frac{11}{15} \]
Ответ: q = \(\frac{11}{15}\)
42.
\[ x - \frac{17}{150} = \frac{13}{150} \]
\[ x = \frac{13}{150} + \frac{17}{150} \]
\[ x = \frac{30}{150} \]
\[ x = \frac{1}{5} \]
Ответ: x = \(\frac{1}{5}\)
43.
\[ \frac{a}{13} - \frac{2}{13} = 1 \]
\[ \frac{a}{13} = 1 + \frac{2}{13} \]
\[ \frac{a}{13} = \frac{13}{13} + \frac{2}{13} \]
\[ \frac{a}{13} = \frac{15}{13} \]
\[ a = 15 \]
Ответ: a = 15
44.
\[ q + \frac{7}{16} = 1 \]
\[ q = 1 - \frac{7}{16} \]
\[ q = \frac{16}{16} - \frac{7}{16} \]
\[ q = \frac{9}{16} \]
Ответ: q = \(\frac{9}{16}\)
45.
\[ x + \frac{28}{150} = \frac{78}{150} \]
\[ x = \frac{78}{150} - \frac{28}{150} \]
\[ x = \frac{50}{150} \]
\[ x = \frac{1}{3} \]
Ответ: x = \(\frac{1}{3}\)
46.
\[ \frac{a}{19} - 1 = \frac{1}{19} \]
\[ \frac{a}{19} = \frac{1}{19} + 1 \]
\[ \frac{a}{19} = \frac{1}{19} + \frac{19}{19} \]
\[ \frac{a}{19} = \frac{20}{19} \]
\[ a = 20 \]
Ответ: a = 20
47.
\[ 1 - q = \frac{13}{21} \]
\[ -q = \frac{13}{21} - 1 \]
\[ -q = \frac{13}{21} - \frac{21}{21} \]
\[ -q = -\frac{8}{21} \]
\[ q = \frac{8}{21} \]
Ответ: q = \(\frac{8}{21}\)
48.
\[ x - \frac{52}{270} = \frac{38}{270} \]
\[ x = \frac{38}{270} + \frac{52}{270} \]
\[ x = \frac{90}{270} \]
\[ x = \frac{1}{3} \]
Ответ: x = \(\frac{1}{3}\)
