Answer: 
Step-by-step explanation:
Given the following inequality:

You need to solve for "x" in order to find the solution.
The steps are:
1. Add
to both sides of the inequality:

2. Add
to both sides:

3. Divide both sides by
:

Notice that "x" is less than 8. This indicates that 8 is not included in the solution and you must use parentheses.
The solution in Interval notation is:

Answer:
Step-by-step explanation:
MX = XN
5r² + 2r + 52 = 4r² + 12r + 27
5r² - 4r² + 2r - 12r + 52 - 27 = 0
r² - 10r + 25 = 0
(r - 5)² = 0
r - 5 = 0
r = 5
4r² + 12r + 27
4•5² + 12•5 + 27
4•25 + 60 + 27
100 + 60 + 27
187
The Second one
I hope I helped you.
Answer:
Z = 258Ω
Step-by-step explanation:
There are two methods of solving this question,
First method
Z = ( RXL)/ sqr rt ( R²+XL²)
Z= (330 Ω × 420 Ω)/ sqr rt ( 330 Ω² + 420 Ω²)
Z = 138600 Ω /534
Z = 259 Ω
THE second complete method is given in attachment below
Answer: 29 $100 bills, and would 44 dollars back (not in real life because there would be tax but this is a math problem)