Question

Me ajudem por favor​

Answer 1

Explicação passo-a-passo:

a)

$\frac{x}{6} = \frac{5}{2} \\ 2x = 5 \times 6 \\ 2x = 30 \\ x = \frac{30}{2} \\ x = 15$

b)

$\frac{4}{x} = \frac{5}{12} \\ 5x = 4 \times 12 \\ 5x = 48 \\ x = \frac{48}{5}$

c)

e)

$\frac{2x - 3}{8} = \frac{4}{3} \\ \frac{3(2x - 3)}{8} = 4 \\ 3(2x - 3) = 4 \times 8 \\ 6x - 9 = 32 \\ 6x = 32 + 9 \\ 6x = 41 \\ x = \frac{41}{6}$

c)

$\frac{1}{5} = \frac{3x}{8} \\ \frac{1 \times 8}{5} = 3x \\ 1 \times 8 = 5 \times 3x \\ 8 = 5 \times 3x \\ 8 = 15x \\ \frac{8}{15}$

d)

$\frac{3x - 1}{4} = \frac{2}{5} \\ 5(3x - 1) = 2 \times 4 \\ 15x - 5 = 8 \\ 15x = 8 + 5 \\ 15x = 13 \\ x = \frac{13}{15}$

g)

$\frac{5x - 4}{2} = \frac{2x - 3}{8} \\ 8(5x - 4) = 2(2x - 3) \\ 40x - 32 = 4x - 6 \\ 40x - 4x = 32 - 6 \\ 36x = 26 \\x = \frac{26}{36} \div 2 \\ x = \frac{13}{18}$

h)

$\frac{x }{2 + \frac{1}{4} } = \frac{ \frac{1}{5} }{3 - \frac{2}{5} } \\ \frac{x}{ \frac{9}{4} } = \frac{ \frac{1}{5} }{ \frac{13}{5} } \\ \frac{4x}{9} = \frac{1}{13} \\ 13 \times 4x = 1 \times 9 \\ 52x = 9 \\ x = \frac{9}{52}$

i)

$\frac{3x - 2}{4 + \frac{2}{3} } = \frac{ \frac{3}{2} }{6 - \frac{1}{2} } \\ \frac{3x - 2}{ \frac{14}{3} } = \frac{ \frac{3}{2} }{ \frac{11}{2} } \\ \frac{(3x - 2) \times 3}{14} = \frac{3}{11} \\ \frac{9x - 6}{14} = \frac{3}{11} \\ 11(9x - 6) = 3 \times 14 \\ x = \frac{12}{11}$