Converting the mixed number to a decimal, the correct comparison of the numbers is given as follows:

<h3>What is a mixed number?</h3>
A mixed number is represented by an integer part and a fractional part, as follows:
a b/c.
In which:
- b/c is the fractional part.
In this problem, the numbers are given as follows:

The mixed number is:
100 and 2/8 = 100 + 0.25 = 100.25.
The square root is an increasing function, hence the higher the input, the higher the square root, as 180 > 100 the comparison is:

More can be learned about mixed numbers at brainly.com/question/1746829
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Answer:
this made no sense at first but the answer is b
Step-by-step explanation:
Answer: 50 square yards
Step-by-step explanation:
From the question, we are informed that Kevin wants to cover a rectangular floor that is 15 feet by 30 feet with carpeting.
The first thing to do is to convert the measurement that were given to yards. We should note that 1 yard = 3 feet
15 feet = 15/3 = 5 yards
30 feet = 30/3 = 10 yards
Area = 5 × 10 = 50 square yards
Answer: 
Step-by-step explanation:
In order to solve this exercise it is important to remember the multiplication of signs. Notice that:

In this case you have the following expression given in the exercise:

Where the variable is "j".
When you multiply signs, you get:

Now you need to identify that like terms and then you need to add them (or combine them). So, applying this procedure you get that the simplified form of the expression is the shown below:

As you can observe, you get a 2nd degree binomial.
Divide by 6

Square both sides

Simplify Left side using Trig identities: (Pythagorean, Double Angle)

Solve for x: