A small town has two local high schools. High School A currently has 750 students and is projected to grow by 45 students each year. High School B currently has 850
students and is projected to grow by 25 students each year. Let A represent the
number of students in High School A in t years, and let B represent the number of
students in High School B after t years. Write an equation for each situation, in terms
of t, and determine after how many years, t, the number of students in both high
schools would be the same.

How far is x from 5 on a number line?

Evaluate-27 ^4/3/8 a) - 81/16 b) 81/16 c) 16/81

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.