Choose the statement that correctly lists equivalent ratios.
a. 1 : 6 = 20 : 120 = 5 : 30
b. 1 : 6 = 4 : 18 = 6 : 36
c. 1 : 8 = 20 : 120 = 3 : 24
d. 1 : 8 = 3 : 32 = 5 : 48
which ratio is equal to 3 : 5?
a. 12 : 25
b. 12 : 20
c. 15 : 20
d. 12 : 15

A. 1 : 6 = 20 : 120 = 5 : 30

B. 12 : 20

Step-by-step explanation:

Equivalent ratios express the same relationship between numbers

In the first question, in answer A. 1 : 6 = 20 : 120 = 5 : 30, all ratios express the same relationship:

1 : 6=1/6=0.166

20 : 120=20/120=0.166

5 : 30= 5/30=0.166

In the second question, B. 12 : 20 is equal to 3 : 5:

12 : 20= 12 / 20= 0.6

3 : 5= 3 /5=0.6

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

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