8x - 1 = 11 8x = 12 x = 12 / 8 or x = 3 / 2.
11 x 12 = 132 12 x 11 = 132 2 x 66 = 132 66 x 2 = 132
11 x 12 = 132
1 x 132, 2 x 66, 3 x 44, 4 x 33, 6 x 22, 11 x 12, 12 x 11, 22 x 6, 33 x 4, 44 x 3, 66 x 2, 132 x 1 = 132
720720 Prime factorised in power format: 2 = 2 3 = 3 4 = 2² 5 = 5 6 = 2 x 3 7 = 7 8 = 2³ 9 = 3² 10 = 2 x 5 11 = 11 12 = 2² x 3 13 = 13 14 = 2 x 7 15 = 3 x 5 16 = 2⁴ lcm = 2⁴ x 3² x 5 x 7 x 11 x 13 = 720720
0.1818
lcm(4, 8, 11, 12) = 264 4 = 2^2 8 = 2^3 11 = 11 12 = 2^2 x 3 lcm = 2^3 x 3 x 11 = 264
2 x 2 x 3 = 12 2 x 3 x 11 = 66
2 x 2 x 3 = 12 3 x 11 = 33
2 x 2 x 3 = 12 3 x 11 = 33
Sum = n/2(2a + (n-1)d) = 11/2 x (2 x -12 + 10 x 5) = 11/2 x 26 = 143
8x - 1 = 11 8x = 12 x = 12 / 8 or x = 3 / 2.
The easiest way that I know to do this is to factor each number, drop out the factors that are shared, and multiply the factors that are left. 11 is prime already. 22 = 2 X 11 12 = 2 X 2 X 3 Drop out one of the 11's because it is shared. Drop out a 2 that is shared. What is left is: 11 X 2 X 2 X 3 = 132 Test to make sure it is right. 132 / 11 = 12 132/22 = 6 132/12 = 11 It checks out ok, so give the final answer. Answer: 132
You haven't said what's the total size of the group.Here are all of them:Groups of 2: (12) x (16) = 192Groups of 4: (12 x 11) x (16 x 15) / (2!)2 = 7,920Groups of 6: (12 x 11 x 10) x (16 x 15 x 14) / (3!)2 = 123,200Groups of 8: (12 x 11 x 10 x 9) x (16 x 15 x 14 x 13) / (4!)2 = 900,900Groups of 10: (12 x 11 x 10 x 9 x 8) x (16 x 15 x 14 x 13 x 12) / (5!)2 = 3,459,456Groups of 12: (12 x 11 x 10 x 9 x 8 x 7) x (16 x 15 x 14 x 13 x 12 x 11) / (6!)2 = 7,399,392Groups of 14:(12 x 11 x 10 x 9 x 8 x 7 x 6) x (16 x 15 x 14 x 13 x 12 x 11 x 10) / (7!)2 = 9,060,480Groups of 16:(12 x 11 x 10 x 9 x 8 x 7 x 6 x 5) x (16 x 15 x 14 x 13 x 12 x 11 x 10 x 9) / (8!)2 = 6,370,650Groups of 18:(12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4) x (16 x 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8) / (9!)2 = 2,516,800Groups of 20:(12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3) x (16 x 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7) / (10!)2 = 528,528Groups of 22:(12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2) x(16 x 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6) / (11!)2 = 52,416Groups of 24:(12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) x(16 x 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5) / (12!)2 = 1,820You can't make groups of more than 24, because there are only 12 boys,and the group must have the same numbers of boys and girls.Total number of possible groups of all sizes = 30,421,754You're welcome.
lcd(22, 12, 16, 9) = 1584 22 = 2 x 11 12 = 2^2 x 3 16 = 2^4 9 = 3^2 lcd = 2^4 x 3^2 x 11 = 1584
Floor area = ceiling area = 11 x 8 = 88 sq feet Wall area = 2 x 11 x 12 + 2 x 8 x 12 = (22 + 16) x 12 = 38 x 12 = 456 sq feet
x2 + 12x - 11 = x2 + 12x + (12/2)2 - (12/2)2 - 11 = (x + 6)2 - 47