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]