The number of pencils is directly proportional to the cost. ... Two values x and y are inversely proportional to each other when their product xy is a constant (always remains the same). This means that whenx increases y will decrease, and vice versa, by an amount such that xyremains the same.
All of the answer choices that you are given are incorrect. I have calculated it in all different ways and get the same thing and it is none of those. The correct answer would be -75 though.
Answer:
π
Step-by-step explanation:
The *period* of a function is the length it takes before it repeats. Usually, the period of the sine function is 2π; it takes a full rotation around the unit circle for it to repeat. When we replace the input x with -2x, this does a few things:
- Changes the rotation direction
- Makes the rotation go twice as fast
If we rotate around the unit circle twice as fast, it’ll take us half of 2π, or just π to complete a cycle.
Answer:
Equations:
--- Cindy
--- Ruben
Solution to equation:
Time they have the same amount: 14 minutes
Number of cards they have at that time: 140 flashcards
Step-by-step explanation:
Solving (a): Variables and what they represent
The variables to use are x and y
Where x represent the minutes and y represents the number of flashcards in x minutes
Solving (b): System of linear equation
Cindy:
per minute
Total number of flashcards (y) in x minutes is:
Ruben:
per minute
Total number of flashcards (y) in x minutes is:
Solution to Equations:
Time they have the same amount.
To do this, we 
expressions
i.e.
Collect Like Terms
Number of cards they have at that time.
Here, we simply substitute 14 for x in any of the equations.
or
