An egg farm packages 264 total cartons of eggs each month. the farm has three different sizes of cartons. the small carton holds 8 eggs, and 1/6 of the total cartons are small. tthe medium carton holds 12 eggs and 2/3 of the total cardinals are medium to large carton holds 18 eggs and the rest of the total clients are large determine how many of each size of the curtain is needed each month then determine how many eggs are needed to fill the 264 cartons show your work or explain your answers

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

Solve this system of equations. 12x − 18y = 27 4x − 6y = 10

Abouncy ball is released from a certain height. on the first bounce, it travels 32cm. with each subsequent bounce, it travels 9/10 the distance of the previous bounce. what is the total distance that the ball has traveled when it completes its 25th bounce?