An egg farm packages 264 total cartons of eggs each month. the farm has 3 different sizes of cartons. the samalln cartons holds 8 eggs & 1/6 of the total cartons are small. the medium carton holds 12 eggs & 2/3 of the total cartons are medium. the large carton holds 18 eggs & the rest of the total cartons are large. determine how many of each size carton is needed each month. then determine how many eggs are needed to fill the 264 cartons. answer solve explain & show your work

44 small cartoon

176 medium cartoon

44 large cartoon

eggs needed = 3256

Step-by-step explanation:

Given that,

small cartoons holds 8 eggs

number of small cartoons   = 1/6 * 264

                                               = 44

medium cartoons holds 12 eggs

number of medium cartoons  = 2/3 * 264

                                                   = 176

large cartoons holds 18 eggs

number of large cartoons  = (1 - (1/6+2/3) )* 264

                                              = 44

Number of eggs needed to fill the 264 cartons are sum of number of cartoons  into number of eggs in each cartoons

44(8) + 176(12) + 44(18)

= 352 + 2112 + 792

= 3256

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.