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
Answer:
Step-by-step explanation:
we know that
<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.
To calculate combinations, we will use the formula
where
n represents the total number of items
r represents the number of items being chosen at a time.
In this problem
substitute
simplify
Answer:
1. B
2. B
Step-by-step explanation:
1. Three points are collinear if they lie on the same line. The diagram shows two triples of points that lie on the same line:
- points B, C and D;
- points A, C and E.
Thus, option B is true.
2. Another way to name the plane is to select three points which do not lie on the same line and write them consequently. As you can see from the diagram, points B, F and D lie on the plane M, but do not lie on the same line. Thus, another way to name plane M is BFD.
