Sherry and Kari both started their hike with a small bottle filled with water. Tia started her hike with a larger bottle that was ½ full. At the end of the hike, Sherry and Tia’s bottles were each half filled with water. Karl’s bottle was 1/3 filled with water. Who has the most water left? Construct a math argument to support your answer.

56

step-by-step explanation:

6.5

step-by-step explanation:

you said it was in the question

~courtney

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb