Answer:
Checkout the image below the explanation.
Step-by-step explanation:
1. First, let's solve the inequality.
Step 1: Simplify both sides of the inequality.
Step 2: Subtract 2 from both sides.
Step 3: Divide both sides by -6 and flip the sign.
2. Now that we solved the inequality and got x > -1, that means that all values of x are more than -1. It can be represented on the number-line as this:
Answer:
Median
Step-by-step explanation:
The measure of center that best represents the data is median because the data is ordinal, that is it is in ranks. The first is 21, the second is 34, third is 56, fourth is 57 and fifth is 58.
Answer:

Step-by-step explanation:
The Given question is INCOMPLETE as the statements are not provided.
Now, let us try and solve the given expression here:
The given expression is: 
Now, the BINOMIAL EXPANSION is the expansion which describes the algebraic expansion of powers of a binomial.
Here, 
or, on simplification, the terms of the expansion are:

The above statement holds for each n > 0
Hence, the complete expansion for the given expression is given as above.
Area of rectangle = 2(2w - 5) is the factored form of given expression
Multiplying the length and width of a rectangle, we get the area of the rectangle
<em><u>Solution:</u></em>
Given that, area of rectangle is 4w - 10 square units
We have to factor the expression
From given,
Area of rectangle = 4w - 10
Take 2 as common factor
Area of rectangle = 2(2w - 5)
Thus the given expression is factored
<em><u>The area of rectangle is given as:</u></em>


Thus, multiplying the length and width of a rectangle, we get the area of the rectangle
When we multiply 2 with 2w - 5 we get the area of rectangle
From above we can say,
Length = 2 or 2w - 5
Width = 2w - 5 or 2
So when dimensions of rectangle are multiplied we get area of rectangle
Answer:
(C)81
Step-by-step explanation:
Total Number of Students =300
Percentage who had cats, n(C) = 40%
Percentage who had both cats and dogs ,
= 12%
Percentage who had neither cats nor dogs,
=45%
Now:
Universal Set, 

Therefore:
Number of Students who had dogs
=27% of 300
=81