Question

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!

Determine which ratio forms a proportion with 10/6 by using cross products.
A) 15/12
B) 30/9
C) 20/9
D) 30/18

Answer 1

The answer here would be D as both of the numbers 10 And 6 have been multiplied by 3:

10 : 6
x3 x3
30 : 18

Answer 2

D.
`(30)/(18)`

Explanation:

Multiply the numerator of one ratio with the denominator of the other. If the products are equal, then the ratios are proportional.

A)

`(15)/(12) =(10)/(6) \\15*6=12*10\\90\\eq120`

∴ NOT proportional

B)

`(30)/(9) =(10)/(6) \\30*6=9*10\\180\\eq90`

∴ NOT proportional

C)

`(20)/(9) =(10)/(6) \\20*6=9*10\\120\\eq90`

∴ NOT proportional

D)

`(30)/(18) =(10)/(6) \\30*6=18*10\\180=180`

∴ PROPORTIONAL