Tara works out on the treadmill for half an hour. She runs at 8 miles/hour for x hours, jogs at 6 miles/hour for y hours, and walks at 4 miles/hour for z hours. The total distance that she runs, walks, and jogs is . If she walks for as long as she runs and jogs combined, which system of equations represents this situation?

3c2 + 2d)(–5c2 + d) select all of the partial products for the multiplication problem above.

"curse these trig-loving pirates! " devora mutters as she looks at the map. then, after thinking for a moment, she walks back to the entrance of the secret cave, measuring 48 meters along the way. after performing a calculation, devora walks back to the empty treasure, faces the entrance, and turns a certain number of degrees to her left before walking 89 meters to the treasure. supposing that the angle at the cave entrance is acute and that devora's calculations were correct, how many degrees did she turn?

The relative growth rate for a certain type of fungi is 60% per hour.a small culture has formed and in just 6 hours the count shows to be 20,273 fungi in the culture.what is the initial number of fungi in the culture?