Pythagoras liked to organize positive even integers into groups. One way he did this was to divide them into three groups: evenly-even, oddly-even, and oddly-

odd. Evenly-even numbers could be halved, halved again and again until the

number 1 was reached; oddly-even numbers could be halved but could not be

halved again; oddly-odd numbers could be halved more than once but the number

1 could never be reached. What is the sum of the least two-digit evenly-even

positive integer and the least two-digit oddly-odd positive integer? ("Halving", in

this case, can only be carried out on even integers)

Write two subtraction equations that are equivalent to 5 + 12 = 17.

The table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal number of cups of raisins 8 2 12 3 16 4 molly plotted an equivalent ratio as shown on the grid below: a graph is shown. the title of the graph is cereal bars. the horizontal axis label is cereal in cups. the x-axis values are 0, 20, 40, 60, 80,100. the vertical axis label is raisins in cups. the y-axis values are 0, 10, 20, 30, 40, 50. a point is plotted on the ordered pair 40,20. which of these explains why the point molly plotted is incorrect? (a) if the number of cups of cereal is 40, then the number of cups of raisins will be10. (b)if the number of cups of raisins is 40, then the number of cups of cereal will be10. (c) if the number of cups of cereal is 40, then the number of cups of raisins will be 80. (d) if the number of cups of raisins is 40, then the number of cups of cereal will be 80.

What is the total surface area of this square pyramid?