Respuesta :

Answer:

The required expression is [tex]2(2x+\frac{5}{2})[/tex]

Step-by-step explanation:

Let the number be x

We are supposed to write the algebraic expression of given statement

Double the number = 2x

Quotient of five and two =[tex]\frac{5}{2}[/tex]

Now we are given that Double the sum of a double the number and quotient of five and two

So, Sum of a double the number and quotient of five and two =[tex]2x+\frac{5}{2}[/tex]

So, Double the sum of a double the number and quotient of five and two =[tex]2(2x+\frac{5}{2})[/tex]

Hence The required expression is [tex]2(2x+\frac{5}{2})[/tex]