James folds a piece of paper in half several times, each time unfolding the
paper to count how many equal parts he sees. After folding the paper
about six times, it becomes too difficult to fold it again but he is curious
how many parts the paper would be broken into if he could continue to
fold it. He decides to employ the modeling cycle to predict how many
parts the paper would be folded into if he were able to fold it 11 times.

/is used for a fraction 1) if x = 2/3 and y = 3/4, what is the value of (x + y) (x/y) expressed as a common fraction? 2) what is the least positive integer greater than 1 that leaves a remainder of 1 when divided by each of 2, 3, 4, 5, 6, 7, 8, and 9? 3) the ponde family's powerjet pumps 420 gallons of water per hour. at this rate, how many gallons of water will it pump in 45 minutes? 4) kim's insurance company pays 80% of the cost of all prescription medication she purchases in a year beyond the first $250 worth of prescriptions. her prescriptions for this year cost a total of $570. how many dollars of this amounts will kim's insurance company pay?

Jane has 5 nickels. john has 3 dimes. jane says she has a greater amount of money. with the information given, is she correct?

The graph of the the function f(x) is given below. find [tex]\lim_{x \to 0\zero} f(x)[/tex] [tex]\lim_{x \to 1+\oneplus} f(x)[/tex] [tex]\lim_{x \to 0-\zeroneg} f(x)[/tex]