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How to Solve Quadratic Equations Online: Formula, Discriminant and Factoring
The quadratic formula x = (−b ± √(b²−4ac))/2a solves every quadratic, and the discriminant decides the outcome: positive...
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How to Calculate Standard Deviation: Population vs Sample, Step by Step
Standard deviation is the square root of the variance: for 2, 4, 4, 4, 5, 5, 7, 9 the squared deviations total 32, so th...
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How to Calculate a Weighted Average: Weights, Grades and GPA-Style Examples
A weighted average multiplies each value by its weight, adds the products, and divides by the total weight: 0.4 × 80 + 0...
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How to Calculate an Average: Mean, Median, Mode and Range Explained
An average is the sum divided by the count: 72 + 85 + 90 + 68 + 95 = 410, and 410 ÷ 5 = 82. This guide covers the median...
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How to Calculate Fractions: Add, Subtract, Multiply, Divide and Simplify
Add and subtract fractions over a common denominator, multiply straight across, and divide by the reciprocal: 3/4 + 2/3...
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How to Calculate Sales Tax: Adding Tax and Extracting It From a Tax-Inclusive Price
Adding sales tax is price times (1 + rate): $200 at an example 8 percent becomes $216. Extracting it is the reverse divi...
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How to Calculate a Tip and Split a Bill: Percentages, Rounding and Splitting Fairly
A tip is bill times percentage divided by 100: 18 percent on $86 is $15.48, making a $101.48 total and $25.37 each split...
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How to Calculate Percentage Change: Increases, Decreases and the Base-Value Trap
Percentage change is (new − original) ÷ |original| × 100 — so 80 to 100 is +25%, and +50% followed by −50% lands at 75,...
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How to Calculate a Discount: Final Price, Savings and Stacked Offers Explained
A discount is price times percentage divided by 100 for the saving, then the saving subtracted for the final price: 30 p...
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How to Calculate and Simplify Ratios: GCD, Proportions and Scaling Explained
Simplifying a ratio means dividing both terms by their greatest common divisor: 24:36 with a GCD of 12 becomes 2:3. This...
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How to Convert Illuminance Online: Lux, Foot-Candles and Phot Explained
One foot-candle is 10.7639 lux and one phot is 10,000 lux, so a typical 500 lux office is about 46.5 foot-candles. This...
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How to Convert Cooking Volumes Online: Cups, Tablespoons, Teaspoons, Fluid Ounces and Millilitres
A US cup is 236.588 mL and a metric cup is 250 mL — a 13.41 mL gap in every cup. This guide gives the exact size of all...
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