Find the number of ways to partition the numbers 1, 2, . . . , 12 into four sets of three numbers, so that the sum of the numbers in each set is divisible by 3. (The order of the sets does not matter, and the order of the elements within each set does not matter. For example, the partition {1, 5, 12}, {2, 9, 10}, {3, 4, 8}, {6, 7, 11} is the same as the partition {8, 3, 4}, {9, 10, 2}, {7, 11, 6}, {12, 5, 1}.)

1 plus 1 equals a

Step-by-step explanation:

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

14.3

step-by-step explanation:

add all the numbers together.

9 + 12 + 15 + 16 + 17 + 17 = 86

now, divide 86 by how many numbers we have: 6.

86 / 6 = 14.3