6th grade math answer math answers for clifton ridge middle school

..

Subtracting (ii) from (i), we get ..

Subtracting (ii) from (i), we get ..

n t h term of (1,2,3,....) is n Subtracting (ii) from (i), we get ..

. . . . . . . . . . . . Adding vertically, ..

From (1) and (2), (A + B) + C = A + (B + C) \ The associative law is verifi..

We are to select 4 students from 32. This selection can done i..

The given equations are 2x - y + z = -3 3x - 0.y - z = - 8 2x + 6y + 0.z= 2 = 2(6) +1(2) + 1(18) = 12 +2 + 18 = 32 The system has a unique solutions. A 1 1 = (0 + 6) = 6, A 1 2 = -(0 + 2) = -2, A 1 3 = 18 A 2 1 = 6, A 2 2 = -2, A ..

= (14 - 12) - (7 - 3) + (4 - 2) = 2 - 4 + 2 = 0 The system may have infinite number of solutions or no solution. Put x = k in (1) and (2) and solve y + z = 6 - k 2y + 3z = 14 - k. Solving the above two equations, we have z = k + 2 and y = 4 - 2k When x = k, substituting these value..

i) Here, the total number = 6 + 6 = 12. 12 persons can be arranged in circular permutation as (12 - 1)! = 11! ways. ii) When 6 gentlemen are arranged around a table, there are 6 positions, each being between two gentlemen for 6 ladies, when no two ..