Carlos says that if the numerators of two fractions are the same, you can compare the denominators to determine which one is greater. Which statement best describes Carlos's idea?
Carlos is correct. If the numerators are the same, the fraction with the lesser denominator will be greater.
Carlos is correct. If the numerators are the same, the fraction with the greater denominator will be greater.
Carlos is incorrect. If the numerators are the same, the fractions will be equal.
Carlos is incorrect. You cannot compare fractions using only the denominators even if the numerators are equal.

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.

George has seven boxes of five pencils. giulio three boxes of eight pencils. one of the boys arranges all his pencils equally into two groups. was this george or giulio how many are in each group explain

What is the perimeter of a rectangular building that is 80 feet wide and 140 feet deep?