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What are the properties of a mathematical equation?

The addition property equality asserts that adding the same number to both sides of an equation produces an equivalent equation. The subtraction property of equality states that subtracting the same number from both sides of an equation produces an equivalent equation. The division property of equality asserts that dividing each side of any equation with the same nonzero number produces an equivalent equation. The multiplication property of equality states that both sides of any equation, multiplied by the same nonzero number, produce an equivalent equation.\nThe use of the number zero is an i..

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What is the prime factorization of 256?

To find the prime factors of 256, start by finding two numbers that multiply together to make 256, such as 8 and 32. Neither of these numbers is prime, so both must be further broken down into prime numbers. Eight equals four times two. Two is prime, but four is equal to two times two. Thirty-two equals eight times four. Eight is two times two times two, and four is two times two. Two, eight times, is the prime factor of 256.

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Are there any free calculators for converting percentages to decimals?

Rapid Tables computes an answer by having the user enter a percentage and press the conversion button. This website also offers a reset button, allowing the calculation of another percentage. Underneath the calculator, Rapid Tables lists multiple examples that show how to manually change percentages to decimals by dividing the percentage by 100. The site also offers the reverse calculation of decimal to percentage conversions.\nAdditionally, Calculator Soup offers a quick and easy method to convert percentages to decimals without a calculator. The site shows this conversion by eliminating the ..

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What is the only even prime number?

Two is a prime number because its only factors are 1 and itself. It is an even number as well because it can be divided by 2. All of the other prime numbers are odd, including 3, 5, 7, 11 and 13. Every number has factors of 1 and itself, but prime numbers have no other factorization possibilities. Composite numbers are those that are not prime; in other words, they have more than one factorization. For example, 8 is a composite number, because it has factors of 1 and 8 and 2 and 4.

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How many diagonals does a nonagon have?

The diagonal of a polygon is any line segment joining two nonadjacent vertices. A nonagon has nine vertices, and each vertex has six other vertices that are not adjacent; thus, each vertex forms six diagonals. For each vertex, there are three fewer diagonals than there are vertices. This is the first part of the procedure for finding the number of diagonals of a polygon: n(n - 3) = 9 x 6 = 54. Each diagonal has two end points, so in order to not count a duplicate diagonal, the final step is to divide 54 by 2, which results in 27 diagonals.

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How do you figure how many months you have been alive?

Document your current ageWrite your age down on a sheet of paper, or type it into a calculator.Multiply your age by 12Multiply your age by 12, since there are 12 months in each year.Add the number of months since your last birthdayCount the number of months have passed since your last birthday, and add that number to your total from the previous step. Your answer is the number of months you've been alive.\n

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Are all squares rectangles?

A square and rectangle are both quadrilaterals, which are four-sided shapes. A square is a special kind of rectangle because all of its sides are equal. Due to all angles in both squares and rectangles being 90 degrees, both types of shapes share the property that opposite sides are parallel to each other and connecting sides are perpendicular. A square can also be considered a rhombus, which is a quadrilateral defined by having four sides of equal length and equal opposite angles.

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What is the square root of 160?

A square root, x, of a number, n, is the value of x that satisfies the equation x^2 = n, where x^2 means x multiplied by x. The positive square root is called the principal square root. Most calculators will give only the principal square root when asked to calculate the square root of a positive real number, such as 160.

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What is the difference between a chart and a graph?

Graphs are meant to be focused on the data in question and how it trends. Graphs have exact numerical figures shown on axes, usually organized on the left and bottom of the graph. Common graph types include dot-and-line and bar graphs. Graphs are most commonly used in analyses and situations that call for raw and exact data.\nCharts are designed to show differences in things like surveys and figures in a more aesthetically pleasing way. Charts have numerical figures in line or popping out of the visual representations themselves. Pie charts are the most common type of chart. Charts are used pr..

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How do you graph linear inequalities?

Write out the statement defining the line representing the inequalityFor example, use the inequality of y > 3x - 4. In slope-intercept form, this means the line has a slope of -3 and crosses the y-axis at (0, -4). Graph the line accordingly. However, because it is a greater-than symbol and not greater than or equal to, the line needs to be dotted. This represents the set of solutions edging infinitely close to the line without touching it.Test a point on the graphFor the simplest values, use the origin point of (0, 0) and substitute these values into the inequality. In this case, (0) > 3(0) - ..

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