Today is anthony, kassim and raymond’s birthday. we want to buy a birthday candle for each one of them but we are not sure how old each one of them is turning. all we know is that as of today anthony is four years older than kasim and we know that kasim is twice as old as ramen. we also know that the sum of their ages is 64

Do 12/14 and 8/10 have the same value? explain your answer.

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.

What are “like terms”? why can we only add like terms?