The perimeter of the garden is 180 feet. The length is 50 and the width is 40. You have 784 square foot tiles for a walkway around the perimeter.
You will need 184 tiles to go around the perimeter one time, because you must extend the length by one tile on each end of the lengths so that all...

Evaluate 8x2 when x=4.
What is being tested is if you know that the squared symbol relates only to the x, and not also to the 8.
So, the expression 8x2 means 8xx, or (8)(4)(4) which equals 128.
Instead, if you were asked to evaluate (8x)2 , that would mean that everything in the...

The problem is to solve for x when 1/2x=12.
First, think about how 1/2x could be rewritten:
1/2x = (1/2)(x/1) = x/2
So, in this problem, x/2 =12.
Now, multiply each side by 2.
The result is x=24.

To answer this question you can find a common denominator for the three fractions and then compare them:
5/4 = 15/12
5/6 = 10/12
5/12 = 5/12
So, comparing the above, ordered from least to greatest is 5/12, 5/6, 5/4.
You could also glance at the fractions...

Another way to look at this problem:
Let's look at the second situation first. The 3 test scores Sergio kept resulted in an average of 80 points. That means that those 3 test scores must add up to 240 (3X80).
Now, let's look at the first situation. The 4 test scores gave him an average...

First, you need to know that the sum of the angles of a triangle equals 180 degrees. Now, translate the words into math:
1st angle = x
2nd angle = x+7
3rd angle = 3x+23
Now, add up the angles in terms of x:
x+x+7+3x+23=180
5x+30=180
5x=150
x=30
So,...

Think about working this problem backwards.
First, you need to know how to find an average: Add up the numbers, and then divide that sum by the number of items you added.
Since you know that the average is 8, and there are 4 items, just multiply those two numbers to get the...