Đặt A = \(\dfrac{3}{1.6}+\dfrac{3}{6.11}+...+\dfrac{3}{61.66}\)
=> \(\dfrac{5}{3}A=\dfrac{5}{1.6}+\dfrac{5}{6.11}+...+\dfrac{5}{61.66}\)
=> \(\dfrac{5}{3}A=1-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{11}+...+\dfrac{1}{61}-\dfrac{1}{66}\)
=> \(\dfrac{5}{3}A=1-\dfrac{1}{66}=\dfrac{65}{66}\)
=> A = \(\dfrac{13}{22}\)
@nam nguyen
a, (x + 1) + (x + 4) + ... + (x + 28) = 155
<=> (x + x + ... + x) + (1 + 4 + ... + 28) = 155
<=> 10x + 145 = 155
<=> 10x = 10
<=> x = 1
b, (x + 9) + (x - 2) + (x + 7) + (x - 4) + ... + (x - 8) + (x + 1) = 95
<=> (x + 9 + x + 7 + ... + x + 1) + (x - 2 + x - 4 + .. + x - 8) = 95
<=> (5x + 25) + (4x - 20) = 95
<=> (5x + 4x) + (25 - 20) = 95
<=> 9x + 5 = 95
<=> 9x = 90
<=> x = 10
@láo như cáo
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@Hồng Phúc Nguyễn
1. -3752 - (29 - 3632) - 51
= (-3752 - 51) - (29 - 3632)
= -3803 + 3603
= -200
2. a, -69.72 - 31.70 - 31.2
= -69.72 - 31(70 + 2)
= -69.72 - 31.72
= 72(-69 - 31)
= 72.(-100)
= -7200
b, -25(47 - 32) - 32(25 - 47)
= -25.47 + 25.32 - 32.25 + 32.47
= 47(-25 + 32) + 32(25 - 2)
= 47.7
= 329
c, [3.(-2) - (-8)].(-7) - (-2).(-5)
= [3(-2) + 8].(-7) - 2.5
= (-6 + 8).(-7) - 10
= 2.(-7) - 10
= -14 - 10
= -24
@Jenny Jenny