If each regular dinosaur weighs 800 pounds, five regular dinosaurs weigh 5*800=<<5*800=4000>>4000 pounds.
Since Barney the dinosaur weighs 1500 pounds more than five regular dinosaurs combined, he weighs 4000+1500=5500 pounds.
The combined weight of Barney and the five regular dinosaurs' weights is 5500+4000=<<5500+4000=9500>>9500 pounds.
#### 9500