Answer: There are 9 different types of note cards that the store sells.
We can use the Fundamental Counting Principle to determine the total number of options.
There are two different events in this problem. First, there are 3 kinds of cards. Second, there are 3 sizes for each kind.
Simply, multiply the 3 by the other 3 and you have 9 different options.
Just think, each card would have a small, medium and larger option. So there are 3 groups of 3 or 9 total options.
as you may already know, to get the inverse of any expression, we start off by doing a quick switcheroo on the variables, and then solve for "y".
![\bf \stackrel{f(x)}{y}=x^3-9\implies \stackrel{\textit{quick switcheroo}}{\underline{x}=\underline{y}^3-9}\implies x+9=y^3\implies \sqrt[3]{x+9}=\stackrel{f^{-1}(x)}{y}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bf%28x%29%7D%7By%7D%3Dx%5E3-9%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bquick%20switcheroo%7D%7D%7B%5Cunderline%7Bx%7D%3D%5Cunderline%7By%7D%5E3-9%7D%5Cimplies%20x%2B9%3Dy%5E3%5Cimplies%20%5Csqrt%5B3%5D%7Bx%2B9%7D%3D%5Cstackrel%7Bf%5E%7B-1%7D%28x%29%7D%7By%7D)
Answer:
74
Step-by-step explanation:
You just have to substitute r with 5.
Now, the equation looks like this:
Next, solve 
first according to PEMDAS
And equals 75
![\frac{\left[\begin{array}{ccc}1&5\\5\\\end{array}\right] }{75}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%265%5C%5C5%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%7D%7B75%7D)
Lastly, do 
which equals 74
![\frac{\left[\begin{array}{ccc}7&5\\-1\\\end{array}\right] }{74}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%265%5C%5C-1%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%7D%7B74%7D)
Therefore, 74 is your answer.
Answer:
19=5+(j times 2/3) j=21
Step-by-step explanation:
While reading out the equation, you understand that Hannah's 19 Jolly Ranchers is what the equation is being set to. 5 more means +5. 2/3 of J can be written as (2/3 times J). You can solve for J by setting the equation to J.
Answer:
Holly would have 20 1/10 sized ribbons.
Step-by-step explanation:
One whole ribbon would equal out to 10, this number multiplied by 2 would be 20. Therefore meaning she should have 20 1/10 sized pieces of ribbon.
