Sam claims that his cat can do single-digit multiplication. he shows the cat 10 cards with simple multiplication problems that are either correct or incorrect. the cat correctly identifies the correctness of the card 7 times out of 10. if the cat were simply guessing, how many would the cat be expected to get correct?

Achel bought 12 rolls of packing tape and paid a total of $33.60. kevin also bought rolls of packing tape. the table shows the total amount he is paid for different numbers of packing tape. number of rolls of packing tape total amount paid 2 $6.40 5 $16.00 8 $25.60 how do the unit rates compare? select from the drop-down menus to correctly complete the statement. rachel's unit rate is than kevin's because is greater than .

Jackie bought a bag of oranges. she used 3/8 of the oranges to make orange juice. she used 1/3 of the oranges to make a fruit salad. she put 1/8 of the oranges in a bowl on the table. she put 2/12 of the oranges in the refrigerator. a) jackie left more oranges on the table than she put in the refrigerator. b) jackie used fewer oranges to make orange juice than she left on the table. c) jackie put fewer oranges in the refrigerator than she used to make the fruit salad. eliminate d) jackie used more oranges to make a fruit salad than she used to make orange juice.

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.