The Sullivan family is comparing two neighborhood blocks for the purchase of a new home. The dot plots shown represent the number of children in each household on each block. Which block should the Sullivan family choose if they want their children to connect with new friends in the neighborhood? Use the mean and the MAD to make an informed decision.

Prove that 3: 8 is equivalent to 12: 32.a. use diagrams to support your answer.

Find the slope of the line below . enter your answer as a fraction or decimal. use a slash mark ( / ) as the fraction bar if necessary

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.