Question

Find the value of k, represented as a decimal rounded to the nearest tenth. 5/7 = 12/k

Answer 1

Answer:

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

Step-by-step explanation:

Given the expression

$\frac{5}{7}=\frac{12}{k}$

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

Let us solve the expression

$\frac{5}{7}=\frac{12}{k}$

Apply cross-function multiply:   if $\frac{a}{b}=\frac{c}{d}$  then $a\cdot \:d=b\cdot \:c$

$5k=7\cdot \:12$

$5k=84$          ∵ 7 · 12= 84

Divide both sides by 5

$\frac{5k}{5}=\frac{84}{5}$

Simplify

$k=\frac{84}{5}$

$k = 16.8$    (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 .....