Question

Find the value of k, represented as a decimal rounded to the nearest tenth.

5/7 = 12/k

Answer 1

We conclude that the value of k represented as a decimal rounded to the nearest tenth is:
`k = 16.8`

Explanation:

Given the expression

`(5)/(7)=(12)/(k)`

We need to determine the value of k, represented as a decimal rounded to the nearest tenth.

Let us solve the expression

`(5)/(7)=(12)/(k)`

Apply cross-function multiply: if
`(a)/(b)=(c)/(d)` then
`a\cdot \:d=b\cdot \:c`

`5k=7\cdot \:12`

`5k=84` ∵ 7 · 12= 84

Divide both sides by 5

`(5k)/(5)=(84)/(5)`

Simplify

`k=(84)/(5)`

`k = 16.8` (Rounded to the nearest 0.1 or the Tenths Place)

Therefore, we conclude that the value of k represented as a decimal rounded to the nearest tenth is:
`k = 16.8`

Answer 2

5/7 = 12/7
k= 16.8 .....