There is a tile pattern with three different sizes of square tiles (7 black tiles, 7 gray tiles, and 7 white tiles) Imagine the pattern goes on forever what is the ratio of the number of black tiles : number of white tiles : number of gray tiles ?

the answer is 11.2 (i know i’m late)

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discount would be 35% off

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

there is only one way to arrange all the eight relative to each other because they are not distinct. we have

now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."