A rectangular garden has a walkway around it. The area of the garden is 2(3.5x +1.5). The combined area of the garden and the walkway is 3.5(6x +4). Find the area of the walkway aroun
the garden as the sum of two terms.

David must install fencing around a lot that is shaped like a right angle. the side of lot that runs east-west is 200 ft long. the side of the lot runs north-south is 125 ft long. calculate how many feet of fencing he will need to surround the entire lot.

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.

You spin the spinner shown below once. each sector shown has an equal area. what is p(beaver ) p(beaver)? if necessary, round your answer to 2 2 decimal places.