32. x – a = -x + a + 4b
x + x = a + 4b + a
2x = 2a + 4b
x = (2a + 4b)/2
x = a + 2b
54. y + ½ = -1/3(x+1/2)
y + ½ = -x/3 -1/6
y = -x/3 -1/6-1/2
Taking LCM on right side,
y = -2x/6 – 1/6 – 3/6
y = (-2x – 1 – 3)/6
y = (-2x – 4)/6
y = (-x -2)/3
72. S = n(n + 1)(2n + 1)/6
N S
1 1
2 5
3 14
4 30
5 55
82. Let MSRP of Hummer H1 be x.
Discount = 8 %
Discount amount = 8 % or x = $ (8/100)x = $0.08x
Selling price = $ 107272
We know that,
MSRP = Selling price + Discount amount
x = 107272 + 0.08x
x – 0.08x = 107272
0.92x = 107272
x = 116600
Therefore, MSRP = $116,600