<span>If M is the midpoint of CD, CM = 2x+3 and MD = 3x-6, then:
MD = CM
3x - 6 = </span>2x + 3
3x - 2x = 3 + 6
x = 9
CM = 2x+3 = 2*9+3 18+3 = 21
MD = CM = 21
CD = CM + MD = 21 + 21 = 42
The cost for each pound of trail mix and each pound of jelly is given below.
Step-by-step explanation:
Let t = cost/pound of trail mix
Let j = cost/pound of jelly beans
5t + 6j = 35
3t + 2j = 15 = > 2j = 15 - 3t
5t + 3(15 - 3t) = 35
5t + 45 - 9t = 35
- 4t + 45 = 35
- 4t = - 10
4t = 10
t = 2.5
3(2.5) + 2j = 15
7.5 + 2j = 15
2j = 7.5
j = 3.75
He's writing one paper every 3/4 of an hour
1/3: 15 minutes
2/3: 30 min
3/3: 45 minutes
Or, one paper every 45 minutes/ 3/4 of an hour