Answer:
Step-by-step explanation:
We'll just work on solving both so you can see what's involved in solving an absolute value equation. Because an absolute value is a distance, we can have that distance being both to the right on the number line of the number in question or to the left. For example, from 2 on the number line, the numbers that are 5 units away are 7 and -3. Using that logic, we will simplify the equation down so we can set up the 2 basic equations needed to solve for x.
If 
then
What you need to remember here is that you cannot distribute into a set of absolute values like you would a set of parenthesis. The -2 needs to be divided away:
Now we can set up the 2 main equations for this which are
.5x + 1.5 = .5 and .5x + 1.5 = -.5
Knowing that an absolute value will never equal a negative number (because absolute values are distances and distances will NEVER be negative), once we remove the absolute value signs we can in fact state that the expression on the left can be equal to a negative number on the right, like in the second equation above.
Solving the first one:
.5x = -1 so
x = -2
Solving the second one:
.5x = -2 so
x = -4
By the binomial theorem,
Each term containing a factor 6 is divisible by 3, since 3 divides 6. The remaining 1 and 2 sum to 3, which is also divisible by 3.
You'd have 25 6/8 yards of wire left because she took 3 yards from each spool. So that gives us 2 spools of 12 7/8 and when you add them you get 25 6/8.
Answer: 
Step-by-step explanation:
<h3>
The complete exercise is: "
of Polly's co-workers prefer tea over coffee. 25 What percent of Polly's co-workers prefer tea over coffee".</h3>
In order to solve this exercise, you need to follow the steps shown below:
<em>Step 1:</em> Divide the numerator 9 of the fraction by the denominator 25. Then:
<em>Step 2: </em>To calculate the percent of Polly's co-workers that prefer tea over coffee, you must multiply the quotient obtained before (this is 
) by 100.
Therefore, you get the following result:
Then, you can conclude that 36% of Polly's co-workers prefer tea over coffee.
The following are the choices on this question:
A.6
B. 39
C. 26
D. 12
The answer is option D. 12.
Check this out:
S=n² + n
S= 12² + 12
(you can get the square of 12 by multiplying 12 by itself: 12 × 12)
S=144 +12
S=156
