You finally made it has arrived! your parents are so proud that they are throwing you a huge party. they have rented a big tent for your graduation party just in case it rains. the inside of the tent (represented by the blue area) is set up for a dance floor for you and friends to dance the night away. the rectangular dance floor is twice as long as it is wide. the tent surrounds the dance floor, leaving some space (7 feet in each direction) for guests to mingle and cool off after dancing. this extra space (represented by the grey area) has an area of 952 square feet. your task is to find the dimensions of the dance floor. be sure to show all work. dimensions outside: top= 2x+14 side=x+14 gray area= 952 ft.^2 dimensions dance floor: top=2x side= x

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

Write an expression that has three terms and simplifies to 4x - 7. identify the coefficient(s) and constant(s) in your expression

Find the number of liters in 12.8 gal of gasoline. round to the nearest hundredths