1.) there are 8 people in a room.
each person shakes hands with each of the other people once and only once.
how many handshakes take place?

2.) a student has some pigs and some chickens.
he finds that together they have 70 heads and 200 legs.
how many pigs and how many chickens does he have?

3.) a well is 10 feet deep.
a frog climbs up 5 feet during the day, but falls back 4 feet at night.
assuming that the frog starts at the bottom of the well,
how many days does it take the frog to get to the top?

i'm looking for work shown, too, ! : )

Christina can paint 420 square feet in 105 minutes. which unit rate describes the scenario?

Which of the following values in the set below will make the equation 5x + 6 = 6 true? (only input the number.) {0, 1, 2, 3, 4}

Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. here are data on the "penetrability" of the same type of soil at two levels of compression. penetrability is a measure of how much resistance plant roots will meet when they try to grow through the soil. compressed soil 2.85 2.66 3 2.82 2.76 2.81 2.78 3.08 2.94 2.86 3.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16 intermediate soil 3.17 3.37 3.1 3.40 3.38 3.14 3.18 3.26 2.96 3.02 3.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26 use the data, omitting the high outlier, to give a 95% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil. compute degrees of freedom using the conservative method. interval: to