The problem asks to select all ratios that are equivalent to the ratio $33:30$. The options are $4:45$, $11:10$, $22:20$, and $8:3$.

1. Problem Description

The problem asks to select all ratios that are equivalent to the ratio $33:30$. The options are $4:45$, $11:10$, $22:20$, and $8:3$.

2. Solution Steps

To determine which ratios are equivalent to $33:30$, we can simplify the given ratio and compare it to the simplified forms of the other ratios.

The ratio $33:30$ can be simplified by dividing both numbers by their greatest common divisor, which is

3. $33 \div 3 = 11$

$30 \div 3 = 10$

So, the simplified ratio is $11:10$.

Now let's examine the options:

$4:45$: This ratio is not equal to $11:10$.

$11:10$: This ratio is equal to $11:10$.

$22:20$: This ratio can be simplified by dividing both numbers by their greatest common divisor, which is

2. $22 \div 2 = 11$

$20 \div 2 = 10$

So, the simplified ratio is $11:10$. This ratio is equivalent to the original ratio.

$8:3$: This ratio is not equal to $11:10$.

Therefore, the ratios equivalent to $33:30$ are $11:10$ and $22:20$.

3. Final Answer

The ratios equivalent to 33:30 are 11:10 and 22:20.