Let's solve each of the given equations one by one:
-
Equation: \(-3.2x = 0.64\)
To solve for \(x\): \[ x = \frac{0.64}{-3.2} = -0.2 \] -
Equation: \(\frac{x}{4} = -0.05\)
To solve for \(x\): \[ x = -0.05 \times 4 = -0.2 \] -
Equation: \(-\frac{3}{4}x = \frac{5}{2}\)
To solve for \(x\): \[ x = \frac{5/2}{-3/4} = \frac{5}{2} \times \left(-\frac{4}{3}\right) = -\frac{20}{6} = -\frac{10}{3} \approx -3.33 \] -
Equation: \(\frac{5}{2}x = -\frac{3}{4}\)
To solve for \(x\): \[ x = -\frac{3/4}{5/2} = -\frac{3}{4} \times \frac{2}{5} = -\frac{6}{20} = -\frac{3}{10} = -0.3 \] -
Equation: \(\frac{3}{8}x = 1\)
To solve for \(x\): \[ x = \frac{1 \times 8}{3} = \frac{8}{3} \approx 2.67 \] -
Equation: \(\frac{1}{3}x = \frac{1}{8}\)
To solve for \(x\): \[ x = \frac{1/8}{1/3} = \frac{1}{8} \times 3 = \frac{3}{8} = 0.375 \] -
Equation: \(\frac{x}{3.2} = 1.8\)
To solve for \(x\): \[ x = 1.8 \times 3.2 = 5.76 \] -
Equation: \(1.8x = 3.2\)
To solve for \(x\): \[ x = \frac{3.2}{1.8} \approx 1.78 \]
Summary of Solutions:
- \(x \approx -0.2\) (from \(-3.2x = 0.64\) and \(\frac{x}{4} = -0.05\))
- \(x = -\frac{10}{3} \approx -3.33\) (from \(-\frac{3}{4}x = \frac{5}{2}\))
- \(x = -0.3\) (from \(\frac{5}{2}x = -\frac{3}{4}\))
- \(x = \frac{8}{3} \approx 2.67\) (from \(\frac{3}{8}x = 1\))
- \(x = 0.375\) (from \(\frac{1}{3}x = \frac{1}{8}\))
- \(x = 5.76\) (from \(\frac{x}{3.2} = 1.8\))
- \(x \approx 1.78\) (from \(1.8x = 3.2\))
If you have any further queries, feel free to ask!