To find the number that is represented by 5 flat, 17 long, and 5 units, we need to convert each type of base-ten block to its corresponding value and then add them together.
We know that:
1 flat = 10 long
1 long = 10 units
We can start by converting the 5 flats to longs:
5 flat = 5 * 10 long = 50 long
Now, we add the converted flats to the given 17 longs:
50 long + 17 long = 67 long
Finally, we add the 5 units to the total:
67 long + 5 units = 67 long and 5 units
Therefore, the number represented by 5 flat, 17 long, and 5 units is 67.5.
$\textbf{Answer: 67.5}$