Determine which set of ratios forms a proportion.
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
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.
yes they do
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.
which one forms a proportion
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.
show your work
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.