Verified answer

[tex]1)[/tex]

[tex] \frac{2x + 1}{1.3} = \frac{2.5}{0.65} \\ 1.3x + 0.65 = 3.25 \\ 1.3x = 3.25 - 0.65 \\ 1.3x = 2.6 \\ x = 2[/tex]

[tex]2)[/tex]

[tex] \frac{3.25}{4x - 1.9} = \frac{13}{0.4} \\ \frac{3.25}{4x - 1.9} = 32.5 \\ 3.25 = 130x - 61.75 \\ 130x = 3.25 + 61.75 \\ 130x = 65 \\ x = 0.5[/tex]

[tex]3)[/tex]

[tex] \frac{2.7}{9} = \frac{1 \frac{1}{5} }{3x + 1} \\ 0.3 = \frac{1.2}{3x + 1} \\ 0.9x + 0.3 = 1.2 \\ 0.9x = 1.2 - 0.3 \\ 0.9x = 0.9 \\ x = 1[/tex]

[tex]4)[/tex]

[tex] \frac{1 \frac{4}{5} }{2.5} = \frac{7.2}{6x + 1} \\ \frac{1.8}{2.5} = \frac{7.2}{6x + 1} \\ 0.72 = \frac{7.2}{6x + 1} \\ 4.32x + 0.72 = 7.2 \\ 4.32x = 7.2 - 0.72 \\ 4.32x = 6.48 \\ x = 1.5[/tex]

[tex]5)[/tex]

[tex] \frac{6}{1 \frac{4}{5} } = \frac{3x + 0.6}{2.88} \\ \frac{6}{1.8} = \frac{3x + 0.6}{2.88} \\ 17.28 = 5.4x + 1.08 \\ 5.4x = 17.28 - 1.08 \\ 5.4x = 16.2 \\ x = 3[/tex]

[tex]6)[/tex]

[tex] \frac{ \frac{3}{8} }{0.75} = \frac{0.6}{x - 2.8} \\ \frac{0.375}{0.75} = \frac{0.6}{x - 2.8} \\ 0.5 = \frac{0.6}{x - 2.8} \\ 0.5x - 1.4 = 0.6 \\ 0.5x = 0.6 + 1.4 \\ 0.5x = 2 \\ x = 4[/tex]