Ответ:
Cвойство пропорции: [tex]\dfrac{a}{b}=\dfrac{c}{d}\ \ \ \Rightarrow \ \ \ a\cdot d=b\cdot c[/tex] .
[tex]1a)\ \ 20:x=35:175\ \ \Rightarrow \ \ \dfrac{20}{x}=\dfrac{35}{175}\ \ ,\ \ 35\cdot x=20\cdot 175\ \ ,\ \ x=\dfrac{20\cdot 175}{35}=100\\\\\\b)\ \dfrac{3}{8}=\dfrac{y}{8,8}\ \ \Rightarrow \ \ 8y=3\cdot 8,8\ \ ,\ \ y=\dfrac{3\cdot 8,8}{8}=3\cdot 1,1=3,3\\\\\\c)\ \ \dfrac{17}{6,5}=\dfrac{102}{y}\ \ \Rightarrow \ \ 17y=6,5\cdot 102\ \ ,\ \ y=\dfrac{6,5\cdot 102}{17}=6\cdot 6,5=39[/tex]
[tex]2a)\ \ 0,4:x=5:6\ \ \Rightarrow \ \ \dfrac{0,4}{x}=\dfrac{5}{6}\ \ \Rightarrow \ \ 5x=6\cdot 0,4\ \ ,\ \ x=\dfrac{6\cdot 0,4}{5}=0,48\\\\\\\dfrac{7}{6}=\dfrac{y}{4,2}\ \ \Rightarrow \ \ 6y=7\cdot 4,2\ \ ,\ \ y=\dfrac{7\cdot 4,2}{6}=7\cdot 0,7=4,9\\\\\\\dfrac{19}{4,5}=\dfrac{76}{y}\ \ \Rightarrow \ \ 19y=4,5\cdot 76\ \ ,\ \ y=\dfrac{4,5\cdot 76}{19}=4,5\cdot 4=18[/tex]
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Ответ:
Cвойство пропорции: [tex]\dfrac{a}{b}=\dfrac{c}{d}\ \ \ \Rightarrow \ \ \ a\cdot d=b\cdot c[/tex] .
[tex]1a)\ \ 20:x=35:175\ \ \Rightarrow \ \ \dfrac{20}{x}=\dfrac{35}{175}\ \ ,\ \ 35\cdot x=20\cdot 175\ \ ,\ \ x=\dfrac{20\cdot 175}{35}=100\\\\\\b)\ \dfrac{3}{8}=\dfrac{y}{8,8}\ \ \Rightarrow \ \ 8y=3\cdot 8,8\ \ ,\ \ y=\dfrac{3\cdot 8,8}{8}=3\cdot 1,1=3,3\\\\\\c)\ \ \dfrac{17}{6,5}=\dfrac{102}{y}\ \ \Rightarrow \ \ 17y=6,5\cdot 102\ \ ,\ \ y=\dfrac{6,5\cdot 102}{17}=6\cdot 6,5=39[/tex]
[tex]2a)\ \ 0,4:x=5:6\ \ \Rightarrow \ \ \dfrac{0,4}{x}=\dfrac{5}{6}\ \ \Rightarrow \ \ 5x=6\cdot 0,4\ \ ,\ \ x=\dfrac{6\cdot 0,4}{5}=0,48\\\\\\\dfrac{7}{6}=\dfrac{y}{4,2}\ \ \Rightarrow \ \ 6y=7\cdot 4,2\ \ ,\ \ y=\dfrac{7\cdot 4,2}{6}=7\cdot 0,7=4,9\\\\\\\dfrac{19}{4,5}=\dfrac{76}{y}\ \ \Rightarrow \ \ 19y=4,5\cdot 76\ \ ,\ \ y=\dfrac{4,5\cdot 76}{19}=4,5\cdot 4=18[/tex]