## Vivi305 3 years ago Kevin and Conner tracked their exercise last week. Kevin ran 14 laps around the school track, 8 laps around his neighborhood, and 3 miles on the treadmill. Conner ran 7 laps around the school track and 11 miles on the treadmill. Write and simplify an expression for the total combined distance that Kevin and Conner ran. Show your work. Use t for the distance in laps around their school track and n for the distance in laps around Kevin’s neighborhood.

1. Vivi305

can someone help me on his

2. karatechopper

*ok! once again lets break this down! Lets start with Kevin. Kevin ran 14 laps around the school track, 8 laps around his neighborhood, and 3 miles on the treadmill. ok. so lets make this a bit off an expression that will equal to the distance that Kevin ran first. In this equation i am making for Kevin.. K=Kevin s=school track n=neighborhood t= treadmill So..lets get on with the equation! Since we are trying to find out the whole distance for Kevin, this equation will only have addition Kevin ran 14 laps around school track....14s 8 laps around neighborhood.....8n 3 miles on treadmill....3t Now lets combine all! K=14s+8n+3t *Note- this was only for Kevin. There is another for Conner

3. Vivi305

wow thank you

4. karatechopper

Now lets get on with Connor! Conner ran 7 laps around the school track and 11 miles on the treadmill. ok. so lets make this a bit off an expression that will equal to the distance that Connor ran first. In this equation i am making for Connor.. C=Connor s= school track t= treadmill *NOTE- Connor seems to have not run in his neighborhood at all. This will be important when combining Kevin and Connor's distances. So..lets get on with the equation! Since we are trying to find out the whole distance for Connor, this equation will only have addition. Connor ran 7 laps around the school track....7s and 11 miles on the treadmill...11t Now lets combine it all! C= 7s+11t

5. karatechopper

Now that we know Kevin's and Connor's distances, we need to combine them together for a full distance! Once again, lets take a look at Kevin's and Connor's equations i put together. K= 14s+8n+3t and C= 7s+11t NOW. Lets add them together! using like terms! I will be using D for distance when we solve for our final answer. 14s+8n+3t + 7s +11t ------------ 21s+8n+14t Therefore, D= 21s+8n+14t OR the total distance that Connor and Kevin ran is 21s+8n+14t