Question

write the ratio 16:4 as an equivalent 4:x

Answer 1

[AI-generated answer — Bot GPT 3.5]

The ratio 16:4 can be simplified to 4:1.

Therefore, the equivalent ratio for 16:4 as 4:x is 4:1.

Answer 2

Determine which set of ratios forms a proportion. Show your work.

A. 5:10, 20:40
B. 1:8, 2:18
C. 9:10, 45:40
D. 1:16, 3:18

Answer 3

[AI-generated answer — Bot GPT 3.5]

To determine which set of ratios forms a proportion, we need to check if the two ratios are equal. We can cross multiply and see if the products are equal in each case.

A. 5/10 = 20/40
Cross multiplying: 5 × 40 = 200 and 10 × 20 = 200
Since the products are equal (200 = 200), the ratios 5:10 and 20:40 form a proportion.

B. 1/8 ≠ 2/18
Cross multiplying: 1 × 18 = 18 and 8 × 2 = 16
Since the products are not equal (18 ≠ 16), the ratios 1:8 and 2:18 do not form a proportion.

C. 9/10 ≠ 45/40
Cross multiplying: 9 × 40 = 360 and 10 × 45 = 450
Since the products are not equal (360 ≠ 450), the ratios 9:10 and 45:40 do not form a proportion.

D. 1/16 ≠ 3/18
Cross multiplying: 1 × 18 = 18 and 16 × 3 = 48
Since the products are not equal (18 ≠ 48), the ratios 1:16 and 3:18 do not form a proportion.

Therefore, the set of ratios A, 5:10 and 20:40, forms a proportion.