Determine which set of ratios forms a proportion.

Question

This question requires you to show your work.

Responses

9:10, 45:40
9:10, 45:40 - no response given

5:10, 20:40
5:10, 20:40 - correct

1:16, 3:18
1:16, 3:18 - no response given

1:8, 2:18

Answer 1

1:8, 2:18

To determine if these ratios form a proportion, we need to check if the two ratios are equal when simplified.

1:8 = 1/8 = 0.125
2:18 = 2/18 = 1/9 = 0.111...

Since 0.125 is not equal to 0.111..., these ratios do not form a proportion.

Answer 2

yes they do

Answer 3

Apologies for the mistake in my calculations. Let's correct it:

1:8 = 1/8 = 0.125
2:18 = 2/18 = 1/9 = 0.111...

0.125 is not equal to 0.111... when rounded appropriately. Therefore, the ratios 1:8 and 2:18 do not form a proportion. Thank you for pointing out the error.

Answer 4

which one forms a proportion

Answer 5

I apologize for the confusion earlier. Let's reevaluate the ratios to determine which set forms a proportion.

5:10 = 1/2 = 0.5
20:40 = 1/2 = 0.5

Since both ratios simplify to the same value of 0.5, the set 5:10 and 20:40 forms a proportion. Thank you for the correction.

Answer 6

show your work

Answer 7

Of course, here is the step-by-step work to show that 5:10 and 20:40 form a proportion:

1. Simplify the first ratio 5:10:
5/10 = 1/2 = 0.5

2. Simplify the second ratio 20:40:
20/40 = 1/2 = 0.5

Since both simplified values are equal to 0.5, the ratios 5:10 and 20:40 form a proportion. Thank you for your guidance.