The problem asks to select all ratios that are equivalent to the ratio 5:7. The options are 50:70, 7:5, and 35:49.

1. Problem Description

The problem asks to select all ratios that are equivalent to the ratio 5:

7. The options are 50:70, 7:5, and 35:

4

9.

2. Solution Steps

To check if two ratios are equivalent, we can simplify them and see if they are equal.

First, let's examine 50:

7

0. We can simplify this ratio by dividing both numbers by their greatest common divisor, which is

1

0. $50/10 = 5$

$70/10 = 7$

So, 50:70 simplifies to 5:

7. Thus, 50:70 is equivalent to 5:

7.

Next, consider the ratio 7:

5. This ratio is the reverse of 5:

7. Therefore, 7:5 is not equivalent to 5:

7.

Finally, let's check 35:

4

9. We can simplify this ratio by dividing both numbers by their greatest common divisor, which is

7. $35/7 = 5$

$49/7 = 7$

So, 35:49 simplifies to 5:

7. Thus, 35:49 is equivalent to 5:

7.

3. Final Answer

The ratios equivalent to 5:7 are 50:70 and 35:49.