Manuel traveled 6 hours nonstop to mexico, a total of 278 miles. he took a train part of the way, which averaged 50mph, and then took a bus the remaining distance, which averaged 30mph. how long was manuel on the train?

An animal shelter has 21 puppies. if the puppies are 28% of the total dog and cat population , how many dogs and cats are in the animal shelter

You and a friend race across a field to a fence and back. your friend has a 50-meter head start. the equations shown represent you and your friend's distances dd (in meters) from the fence tt seconds after the race begins. find the time at which you catch up to your friend. you: d=∣−5t+100∣d=∣−5t+100∣ your friend: d=∣−313t+50∣∣

The triangles are similar. what is the value of x? show your work.