Acard game is being played and the 8 of spades and 10 of hearts are drawn from a single deck. in order to win, the next card the player draws from the deck must be higher than the highest card already drawn. what is the probability that the next card the player draws is a winning card? (an ace is considered to have a value of 1 and jacks, queens, and kings have a value of 10.) hint: a deck has 52 cards, 4 suits, and each suit has a, 2, 3, 4, 5, 6, 7, 8, 9, 10, j, q, k. a. 3% b. 8% c. 24% d. 25%

What is the value of x in the equation 6(x + 1) – 5x = 8 + 2(x – 1)?

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.

Adifferent website gives the cost for the first train as £56.88 and the second train as £20.11 with a £9.50 charge for cycle storage for the whole trip. how much would the journey cost you?