A) M-5/12m = 1/4 (Б) 5/16:z=3/4 (В) 1 1/9m + 5/6 = 1 1/2 (Г) 8/15y - 3/10y + 3/5y = 1/2

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Zhurkhan

Математика

6 мая, 14:30

A) M-5/12m = 1/4 (Б) 5/16:z=3/4 (В) 1 1/9m + 5/6 = 1 1/2 (Г) 8/15y - 3/10y + 3/5y = 1/2

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Никита Павловский · Answer 1

A) m - 5/12 * m = 1/4;

(1 - 5/12) * m = 1/4;

(12/12 - 5/12) * m = 1/4;

7/12 * m = 1/4;

m = 1/4 * 12/7 = 12 / (4 * 7) = 3/7;

(Б) 5/16 : z = 3/4;

z = 5/16 : 3/4 = 5/16 * 4/3 = (5 * 4) / (16 * 3) = 5/12;

(В) 1 1/9 * m + 5/6 = 1 1/2;

(1 * 9 + 1) / 9 * m = (1 * 2 + 1) / 2 - 5/6;

10/9 * m = 3/2 - 5/6;

10/9 * m = 9/6 - 5/6 = (9 - 5) / 6 = 4/6;

m = 4/6 * 9/10 = (4 * 9) / (6 * 10) = 3/5;

(Г) 8/15 * y - 3/10 * y + 3/5 * y = 1/2;

(8/15 - 3/10 + 3/5) * у = 1/2;

(16/30 - 9/30 + 18/30) * у = 1/2;

(16 - 9 + 18) / 30 * у = 1/2;

25/30 * у = 1/2;

у = 1/2 * 30/25 = 30/50 = 3/5.