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where x is a variable we are interested in solving for, we can use cross-multiplication to determine that x = b c d . {\displaystyle x={\frac {bc}{d}}.} For example, suppose we want to know how far a car will travel in 7 hours, if we know that its speed is constant and that it already travelled 90 miles in the last 3 hours.
If we multiply all quantities involved in a ratio by the same number, the ratio remains valid. For example, a ratio of 3:2 is the same as 12:8. It is usual either to reduce terms to the lowest common denominator , or to express them in parts per hundred ( percent ).
Glucose (C 6 H 12 O 6), ribose (C 5 H 10 O 5), Acetic acid (C 2 H 4 O 2), and formaldehyde (CH 2 O) all have different molecular formulas but the same empirical formula: CH 2 O.This is the actual molecular formula for formaldehyde, but acetic acid has double the number of atoms, ribose has five times the number of atoms, and glucose has six times the number of atoms.
The lowest common denominator of a set of fractions is the lowest number that is a multiple of all the denominators: their lowest common multiple.The product of the denominators is always a common denominator, as in:
Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include:
LONDON -- Before I decide whether to buy a company's shares, I always like to look at two core financial ratios -- return on equity and net gearing. These two ratios provide an indication of how ...
There are many algorithms for approximating as a ratio of integers or as a decimal. The most common algorithm for this, which is used as a basis in many computers and calculators, is the Babylonian method [ 9 ] for computing square roots, an example of Newton's method for computing roots of arbitrary functions.
Stock returns do not include dividends. All directors refers to people who sat on the board of at least one Fortune 100 company between 2008 and 2012. The Pay Pals project relies on financial research conducted by the Center for Economic Policy and Research. Sources: Google Finance, Yahoo Finance, Intel SEC filings (2009, 2010, 2011, 2012