Hannah had just finished building a house of cards that stand four stories high. she is worried that it will fall down. which of the following statements is definitely true a. if no unbalanced force acts upon the house of cards then it will remain standing forever. b. if hannah adds another card to the house of cards, then it will fall down c. as long as nobody touches the house of cards, it will remain standing. d. a house of cards is is too fragile and must fall down eventually

Three numbers x, y, and z are in the ratio 2: 7: 8. if 12 is subtracted from y, then three numbers form a geometric sequence (in the order x, y–12, z). find x, y, and z. there are 2 sets.

Data from 2005 for various age groups show that for each $100 increase in the median weekly income for whites, the median weekly income of blacks increases by $105. also, for workers of ages 25 to 54 the median weekly income for whites was $676 and for blacks was $527. (a) let w represent the median weekly income for whites and b the median weekly income for blacks, and write the equation of the line that gives b as a linear function of w. b = (b) when the median weekly income for whites is $760, what does the equation in (a) predict for the median weekly income for blacks?

Sum of the interior angles of a pentagon