Question

PLEASE I NEED HELP

Enter in the missing numbers to create equivalent ratios.

Answer 1

The table with the missing number

1 5

2 10

5 25

10 50

Explanation:

The form of the equivalent ratios is
`(a)/(b)` =
`(c)/(d)` , where a, b, c, and d are integers

From the given table, we will use the first row in all cases (a = 1 and c = 5)

∵ a = 1 and b = 2

∵ c = 5

→ By using the form of the equivalent ratios above

∴
`(1)/(2)` =
`(5)/(d)`

→ By using the cross multiplication

∵ 1 × d = 2 × 5

∴ d = 10

∴ The first missing is 10

∵ a = 1

∵ c = 5 and d = 25

→ By using the form of the equivalent ratios above

∴
`(1)/(b)` =
`(5)/(25)`

→ By using the cross multiplication

∵ 5 × b = 1 × 25

∴ 5b = 25

→ Divide both sides by 5

∴ b = 5

∴ The second missing is 5

∵ a = 1 and b = 10

∵ c = 5

→ By using the form of the equivalent ratios above

∴
`(1)/(10)` =
`(5)/(d)`

→ By using the cross multiplication

∵ 1 × d = 10 × 5

∴ d = 50

∴ The third missing is 50

∴ The equivalent ratios are
`(1)/(5)` =
`(2)/(10)` =
`(5)/(25)` =
`(10)/(50)`

The table with the missing numbers

1 5

2 10

5 25

10 50