On a menu, each item from column a costs $2.25, each item from column b costs $4.50, and each item from column c costs $5.25. terry ordered four items from column a and one from column c. john ordered two items from column a and two from column b. maria ordered one item from column a, one from column b, and one from column c. which of the following is correct? a. maria's meal cost more than terry's but less than john's. b. terry's, john's, and maria's meals all cost the same. c. terry's meal cost more than john's meal and also cost more than maria's meal. d. john's meal cost more than terry's meal.(explanation would be appreciated)

Simonne used the following steps to simplify the given expression. 12 - 3(-2x + 4) step 1: 12 + (–3)·(–2x) + (–3)·(4) step 2: 12 + 6x + (–12) step 3: 12 + (–12) + 6x step 4: 0 + 6x step 5: 6x what property of real numbers was used to transition from step 3 to step 4? a. identity property of addition b. inverse property of addition c. associative property of addition d. commutative property of addition

Which property is illustrated by the following statement? if hxa rgi, then rgi hxa.

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.