  • Matrices
• Algebra
• Geometry
• Funciones
• Trigonometry
• Coordinate geometry
• Combinatorics
 Suma y resta Producto por escalar Producto Inversa
 Monomials Polynomials Special products Equations Quadratic equations Radical expressions Systems of equations Sequences and series Inner product Exponential equations Matrices Determinants Inverse of a matrix Logarithmic equations Systems of 3 variables equations
 2-D Shapes Areas Pythagorean Theorem Distances
 Graphs Definition of slope Positive or negative slope Determine slope of a line Ecuación de una recta Equation of a line (from graph) Quadratic function Posición relativa de dos rectas Asymptotes Limits Distancias Continuity and discontinuities
 Sine Cosine Tangent Cosecant Secant Cotangent Trigonometric identities Law of cosines Law of sines
 Ecuación de una recta Posición relativa de dos rectas Distancias Angles in space Inner product

# Understanding ratios

A ratio is a comparison of two numbers.

What is the ratio of tulips to cacti? The ratio of tulips to cacti is 2 to 3

There are 3 ways to write a ratio: 2 to 3, , or 2:3

What is the ratio of pens to pencils? The ratio of pens to pencils is 2 to 3

The ratio of two numbers a and b is the quotient

Sussan has a bag with 3 pens, 4 pencils, 7 felt tip pens, and 1 pencil sharpener. What is the ratio of pencils to pens?
Expressed as a fraction, with the numerator equal to the first quantity and the denominator equal to the second, the answer would be 4/3.
Two other ways of writing the ratio are 4 to 3, and 4:3.

In the 2009 Nathan's Hot Dog eating contest, Joey Chestnut ate 68 hotdogs in 10 minutes. Find how many hog dog per minute this is.

The ratio is hd/min