Respuesta :

3 + 2k

This is because multiplying by 1/5 is like dividing each term by 5 

Answer: Equivalent expression is 3+2k.

Step-by-step explanation:

Since we have given that

[tex]\dfrac{1}{5}(15+10k)[/tex]

As we have to use "Distributive property":

[tex]a\times (b+c)=a\times b+a\times c[/tex]

So, it becomes

[tex]\dfrac{1}{5}(15+10k)\\\\=\dfrac{1}{5}\times 15+\dfrac{1}{5}\times 10k\\\\=\dfrac{15}{5}+\dfrac{10k}{5}\\\\=3+2k[/tex]

Hence, equivalent expression is 3+2k.