Ответ:
С) 1 1/19
Пошаговое объяснение:
16/3 * ((2a - 0,75)*b)/(a +3/5b)) при a = 1/2 и b = 0,75 = 3/4
16/3 * ((2a - 0,75)*b)/(a +3/5b)) = 16/3*((2*1/2 - 3/4)*3/4)/(1/2 + 3/5*3/4))=
16/3*((1 - 3/4)*3/4)/(1/2 + 9/20) = 16/3*(1/4*3/4)/19/20) =
16/3*(3/16*20/19) = 16/3*15/76 = 20/19 = 1 1/19
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Ответ:
С) 1 1/19
Пошаговое объяснение:
16/3 * ((2a - 0,75)*b)/(a +3/5b)) при a = 1/2 и b = 0,75 = 3/4
16/3 * ((2a - 0,75)*b)/(a +3/5b)) = 16/3*((2*1/2 - 3/4)*3/4)/(1/2 + 3/5*3/4))=
16/3*((1 - 3/4)*3/4)/(1/2 + 9/20) = 16/3*(1/4*3/4)/19/20) =
16/3*(3/16*20/19) = 16/3*15/76 = 20/19 = 1 1/19
2) 1 - 0,75 = 0,25
3) 0,25 * 0,75 = 0,1875
4) 3/5 * 0,75 = 0,6 * 0,75 = 0,45
5) 1/2 + 0,45 = 0,5 + 0,45 = 0,95
6) 0,1875 : 0,95 = 1875/10000 : 95/100 = 3/16 : 19/20 = 3/16 * 20/19 = 15/76
7) 16/3 * 15/76 = 20/19 = 1 1/19