Question

Va rog mult sa ma ajutati​

Answer 1

Răspuns:

a. x-12,5=(13×5+1)/5

x-12,5=66/5

x-12,5=13,2

x=13,2+12,5

x=25,7

b. x+14,31-54=-0,6

x=-0,6-14,31+54

x=39,09

c. x-(2×9+1)/9-(3×9+2)/9-(4×9+3)/9-(5×9+4)/9-(6×9+5)/9-(7×9+6)/9-(8×9+7)/9=100

x-19/9-29/9-39/9-49/9-59/9-69/9-79/9=100

⁹⁾x+343/9=⁹100

9x=900-343

x=557/9

x=61,(8)=61 intregi 8/9

Answer 2

Explicație pas cu pas:

a)

$x - 12,5 = 13 \frac{1}{5} \iff x = \frac{ ^{2)} 66}{5} + \frac{125}{10} \\ x = \frac{132 + 125}{10} \iff x = \frac{257}{10} = 25,7$

b)

$x + 14,31 - 54 = - \frac{3}{5} \iff x - 39,69 = - 0,6 \\ x = 39,69 - 0,6 \iff x = 39,09$

c)

$x - 2\frac{1}{9} - 3\frac{2}{9} - 4 \frac{3}{9} - 5 \frac{4}{9} - 6 \frac{5}{9} - 7 \frac{6}{9} - 8 \frac{7}{9} = 100$

$x = 100 + \Big(2 + 3 + 4 + 5 + 6 + 7 + 8 + \frac{1 + 2 + 3 + 4 + 5 + 6 + 7}{9}\Big)$

$x = 100 + 35 + \frac{28}{9} = 135 + 3 \frac{1}{9}$

$\implies \bf x = 138 \frac{1}{9}$