In a lottery, the top cash prize was $649 million, going to three lucky winners. Players pick five different numbers from 1 to 51 and one number from 1 to 41.

A player wins a minimum award of $200 by correctly matching four numbers drawn from the white balls (1 through 51) and matching the number on the gold ball (1 through 41). What is the probability of winning the minimum award?

Please use this equation: P(E)=n(E)/n(s)

Martha needs 22.25 strawberries for every 5 smoothies she makes. complete the table to see how many strawberries she would need to make 10 smoothies and 20 smoothies.

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.

Two customers went to a post office. first customer paid $12 for 14 and 5 envelopes the second paid 24.80 for 10 postcards and 15 envelopes. what is cost of each envelope?