a park has 4 hiking trails. trails A and B go from the lodge to the dock. trail A is 1/2 mile long, and trail B is 2/3 mile long. trails C and D go from the dock to the park entrance. Trail C is 1/4 mile long, and trail D is 1/3 mile long. Draw a picture of the possible trails. how long is each possible hike from the lodge to the dock and to the park entrance?
Draw the picture.
how long is A+C
how long is A+D
how long is B+C
how long is B+D
30% vailla 40% chocalate 25% strawberry and 5% other. so if there is 20 people in the calss then how many people prefer vanilla?
To answer the question, we can start by drawing a simple diagram to represent the park, lodge, dock, and park entrance.
A C
-----------------D------------------
|
Lodge Park Entrance
|
|
B
From the diagram, we can see that there are two possible routes from the lodge to the dock: A or B. Similarly, there are two possible routes from the dock to the park entrance: C or D.
Route 1: Lodge -> A -> Dock -> C -> Park Entrance
This route takes trail A from the lodge to the dock, which is 1/2 mile long. Then, it takes trail C from the dock to the park entrance, which is 1/4 mile long. Adding these distances together, the total length of this route is 1/2 + 1/4 = 3/4 mile.
Route 2: Lodge -> A -> Dock -> D -> Park Entrance
This route takes trail A from the lodge to the dock, which is 1/2 mile long. Then, it takes trail D from the dock to the park entrance, which is 1/3 mile long. Adding these distances together, the total length of this route is 1/2 + 1/3 = 5/6 mile.
Route 3: Lodge -> B -> Dock -> C -> Park Entrance
This route takes trail B from the lodge to the dock, which is 2/3 mile long. Then, it takes trail C from the dock to the park entrance, which is 1/4 mile long. Adding these distances together, the total length of this route is 2/3 + 1/4 = 11/12 mile.
Route 4: Lodge -> B -> Dock -> D -> Park Entrance
This route takes trail B from the lodge to the dock, which is 2/3 mile long. Then, it takes trail D from the dock to the park entrance, which is 1/3 mile long. Adding these distances together, the total length of this route is 2/3 + 1/3 = 1 mile.
Therefore, the lengths of the possible hikes from the lodge to the dock are:
- Route 1: 3/4 mile
- Route 2: 5/6 mile
- Route 3: 11/12 mile
- Route 4: 1 mile
And the lengths of the possible hikes from the dock to the park entrance are:
- Route 1: 1/4 mile
- Route 2: 1/3 mile
- Route 3: 1/4 mile
- Route 4: 1/3 mile