Erin mixed 2.69 grams of salt into a pot of soup she was cooking. Before she served the soup, Erin added 0.7 grams of salt. How
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Answer:
35 different selections of soundtracks are possible
Step-by-step explanation:
Total number of soundtracks available at the store = 7
Enny decides to purchase 3 movie soundtracks.
So, in this problem we have to find in how many ways can Enny chose 3 soundtracks out of 7. The order in which the soundtracks are chosen does not matter e.g soundtracks A,B and C are the same as soundtracks B,C and A.
In an arrangement when the order does not matter, we use combinations to find the total possible number of arrangements or selections.
So, for this problem choosing 3 soundtracks out of 7 means forming combinations from 7 objects taken 3 at a time. This can be represented mathematically as:
The general formula for combinations is:
Using the values, we get:
This means, Enny can make 35 different selections of soundtracks.
The equation of the line of the graph would be, y = 5/3x.
The graph of the line is shown in the diagram attached below.
<h3>What is a Proportional Relationship Graph?</h3>A proportional relationship is usually defined and expressed as the equation, y = kx, where:
x and y are the two variables that are in a proportional relationship with one another
k is the constant of proportionality or unit rate of change.
The unit rate of change is also the slope of the line that represents the proportional relationship graph, and passes through the point of origin, (0, 0).
Given that the line that represents a proportional relationship between x and y is where the unit rate of change is given as 5/3, the equation of the line of the graph would be, y = 5/3x.
The graph of the line is shown in the diagram attached below.
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