Question

Help meh please sweet hoomans

Answer 1

16) The ratios
`(5)/(27),(3)/(16.2)` are proportional.

17) The ratios
`(34)/(9),(25)/(7)` are not proportional.

Explanation:

we need to determine if the ratios form the proportions.

16)
`(5)/(27),(3)/(16.2)`

If the ratios are proportional, their cross product will be equal. i.e.
`(a)/(b)=(c)/(d)`

So, finding cross product and checking:

`(5)/(27)=(3)/(16.2)\\5(16.2)=3(27)\\81=81`

Since the cross product is equal i.e. 81=81 so, the ratios are proportional.

The ratios
`(5)/(27),(3)/(16.2)` are proportional.

17)
`(34)/(9),(25)/(7)`

If the ratios are proportional, their cross product will be equal. i.e.

`(a)/(b)=(c)/(d)\\ad=cb`

So, finding cross product and checking:

`(34)/(9)=(25)/(7)\\7(34)=25(9)\\238\\eq 225`

Since the cross product is not equal i.e. 238≠225 so, the ratios are not proportional.

The ratios
`(34)/(9),(25)/(7)` are not proportional.