Convert the following temperatures between Fahrenheit and Celsius: 1) -35°F to °C, 2) 284°F to °C, 3) -30°C to °F.

$$C = \frac{5}{9}(-35 - 32)$$ $$C = \frac{5}{9}(-67)$$

$$C = -\frac{335}{9}$$ $$C \approx -37.22$$

The temperature is $\boxed{-37.22^\circ \text{C}}$.

2. Convert $284^\circ \text{F}$ to $^\circ \text{C}$

$$C = \frac{5}{9}(284 - 32)$$ $$C = \frac{5}{9}(252)$$

$$C = \frac{1260}{9}$$ $$C = 140$$

The temperature is $\boxed{140^\circ \text{C}}$.

3. Convert $-30^\circ \text{C}$ to $^\circ \text{F}$

$$F = -54 + 32$$ $$F = -22$$

The temperature is $\boxed{-22^\circ \text{F}}$.