Mathematics: What is the value of k in the equation 4/9(k+4/7)=3 1/3 ?

What is the value of k in the equation 4/9(k+4/7)=3

Ответ:

dtbrooks4792

04.01.2022

The equation given in the question has one unknown variable and so the value of k can definitely be found.
4/9(k + 4/7) = 3 1/3
4/9[(7k + 4)] = 10/3
4/(63k + 36) = 10/3
4 * 3 = 10 * (63k + 36)
12 = 630k + 360
12 - 360 = 630k
- 348 = 630k
Reversing both sides we get
630k = - 348
k = - 348/630
= - 174/315
= - 58/105
So the value of K comes out to be - 58/105 and it is not possible to simplify it further.

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Ответ:

smartperraorwhateva

04.01.2022

Mathematics

$\dfrac{4}{9}\left(k+\dfrac{4}{7}\right)=3\dfrac{1}{3}\\
\dfrac{4}{9}\left(k+\dfrac{4}{7}\right)=\dfrac{10}{3}\\
k+\dfrac{4}{7}=\dfrac{10}{3}\cdot\dfrac{9}{4}\\
k+\dfrac{4}{7}=\dfrac{15}{2}\\
k=\dfrac{105}{14}-\dfrac{8}{14}\\
k=\dfrac{97}{14}


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