Partition the set A into 4 subsets:
{1, 8}, {2, 7}, {3, 6}, and {4, 5},
each consisting of two integers whose sum is 9. If 5 integers are selected from A,
then by the Pigeonhole Principle at least two must be from the same subset. But
then the sum of these two integers is 9.
Answer:
Step-by-step explanation:
1/2 x because it is always positive and gives half the value of x
Answer:
Alex will need 14 bags
Step-by-step explanation:
B= 4(2x+7)+3(2x+7)
and
2x+7=2
First, we should solve the second equation to obtain x:
2x+7=2
2x=2-7
x= -5/2
Then, we use this answer to calculate B:
B=4(2(-5/2)+7)+3(2)
B=4(-5+7)+6
B=4(2)+6
B=8+6
B=14
Alex will need 14 bags
Length of side of new square is 17 inches
Step-by-step explanation:
- Step 1: Let the length of the side of the old square be x. Then length of side of new square = x + 3 and Perimeter of new square = 40 + 2x
Perimeter of a square = 4 × side
⇒ 4(x + 3) = 40 + 2x
⇒ 4x + 12 = 40 + 2x
⇒ 2x = 28
⇒ x = 14 inches
- Step 2: Find length of side of the new square
⇒ x + 3 = 17 inches
