Respuesta :

SvetlanaM

Answer:    [tex]B. \: \: \: \dfrac{5}{x+5}[/tex]

Step-by-step explanation:

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

ashishdwivedilVT

Expression is equivalent to this quotient is 5/x+5.

Option (b) is correct.

The given fraction is [(1)/(x+5)]/[(x + 3)/(5x+ 15)].

To find expression is equivalent to this quotient.

What is expression ?

Expression is a number, a variable, or a combination of numbers and variables and operation symbols.

Now the given algebraic expression are

[(1)/(x+5)]/[(x + 3)/(5x+ 15)]

The algebra can be simplified as;

[(1)/(x + 5)] * (5x + 15)/(x + 3)]

=[(1)/(x + 5)] * (5(x + 3)/(x + 3)]

(x + 3) will cancel out to give;

=(1)/(x + 5)] *5

This can be simplified further to get;

⇒ 5/x+5

So, Expression is equivalent to this quotient is 5/x+5.

Learn more about expression here:

https://brainly.com/question/20561288

#SPJ5

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