Answer:
[tex]\[30 + \frac{3x}{2}\][/tex]
Step-by-step explanation:
Let the number be represented by x.
Then half of the number will be represented by [tex]\[\frac{x}{2}\][/tex]
Sum of ten and half the number is [tex]\[10 + \frac{x}{2}\][/tex]
Finally , Three times the sum of ten and half the number will be represented as:
[tex]\[3 \times (10 + \frac{x}{2})\][/tex]
This can be simplified as:
[tex]\[30 + \frac{3x}{2}\][/tex]