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Số số hạng là :
Có số cặp là :
50 : 2 = 25 ( cặp )
Mỗi cặp có giá trị là :
99 - 97 = 2
Tổng dãy trên là :
25 x 2 = 50
Đáp số : 50
\(\frac{x-2017}{5}-\frac{x-2017}{6}=\frac{x-2017}{7}-\frac{x-2017}{8}\)
\(\Leftrightarrow\frac{x-2017}{5}-\frac{x-2017}{6}-\frac{x-2017}{7}+\frac{x-2017}{8}=0\)
\(\Leftrightarrow\left(x-2017\right)\left(\frac{1}{5}-\frac{1}{6}-\frac{1}{7}+\frac{1}{8}\right)=0\)
\(\Rightarrow x-2017=0\Rightarrow x=2017\)
Vậy x=2017
a) \(...-\dfrac{22}{7}:-\dfrac{15}{9}=\dfrac{22}{7}.\dfrac{9}{15}=\dfrac{66}{35}\)
b) \(...\dfrac{8}{3}:\left(-\dfrac{42}{7}\right)=\dfrac{8}{3}.\left(-\dfrac{7}{42}\right)=-\dfrac{8}{9}\)
c) ...\(\left(-\dfrac{7}{2}\right):\left(-\dfrac{13}{5}\right)=\dfrac{7}{2}.\dfrac{5}{13}=\dfrac{35}{36}\)
\(\left(\frac{2}{5}\right)^6:\left(\frac{2}{5}\right)^4=\left(\frac{2}{5}\right)^2=\frac{4}{25}\)
\(\left(\frac{3}{16}\right)^2:\left(\frac{9}{8}\right)^2=\frac{1}{12}\)
\(\left(\frac{2}{7}-\frac{1}{2}\right)^2=\frac{9}{196}\)
A : 3 - 2 = -x + 1/7
1 = -x + 1/7
x= 1/7 -1
x = -6/7
B: 4/5 + (-1/9) = 8/7 -x
31/45 = 8/7 -x
x= 8/7 -31/45
x=143/315
C: [x-1/3] =10
=> 10\(\le\)3x-1/3 \(< \)11
=> 30 \(\le\)3x-1 \(< \)33
=> 31\(\le3x\)<34
<=> 11\(\le x< 12\)
=> x=11
D: [ -x + 2/5 ] = 3,5 -1/2
[-5x+2/5]=3
=> 3\(\le\)-5x+2/5 <4
=> 15\(\le\)-5x+2 <20
=> 13\(\le\)-5x< 18
=> -3\(\ge\)x>-4
=> x = -3
Bài 1:
a: \(A=\left(-\dfrac{1}{5}\right)^{33}:\left(-\dfrac{1}{5}\right)^{32}=\dfrac{-1}{5}\)
c: \(C=\dfrac{2^{12}\cdot3^{10}+3^9\cdot2^9\cdot2^3\cdot3\cdot5}{2^{12}\cdot3^{12}+2^{11}\cdot3^{11}}\)
\(=\dfrac{2^{12}\cdot3^{10}\left(1+5\right)}{2^{11}\cdot3^{11}\cdot7}=\dfrac{2}{3}\cdot\dfrac{6}{7}=\dfrac{12}{21}=\dfrac{4}{7}\)
a)4,1×3,5+4,1×7,5-4,1
= 4,1 x ( 3,5 + 7,5 ) - 4,1
= 4, 1x 11 - 4,1
= 45,1 - 4,1
= 41
b) 1/1998 × 2/7 + 1/1998 × 1
= 1/1998 x ( 2/7 + 1 )
= 1/1998 x 9/7
= 1/1554
3/7 - 5/1998 × 1/7
= 3/7 - 5/13986
= 5989/13986
k) [( 2/139 - 3/386)× 139/17 + 33/34] : [(7/2001 + 11/4002) × 201/25 + 9/2]
= [ 355/53654 x 139/17 + 33/34 ] : [ 25/4002 x 201/25 + 9/2 ]
= [ 355/6562 + 33/34 ] : [ 67/1334 + 9/2 ]
= 3362/3281 : 3035/667
= 0,2251949344
a) \(4,1.3,5+4,1.7,5-4,1\)
= \(4,1.\left(3,5+7,5\right)-4,1\)
= \(4,1.11-4,1\)
= \(45,1-4,1\)
= \(41\).
b) \(\frac{1}{1998}.\frac{2}{7}+\frac{1}{1998}.1\)
= \(\frac{1}{1998}.\left(\frac{2}{7}+1\right)\)
= \(\frac{1}{1998}.\frac{9}{7}\)
= \(\frac{1}{1554}\).
\(\frac{3}{7}-\frac{5}{1998}.\frac{1}{7}\)
= \(\frac{3}{7}-\frac{5}{13986}\)
= \(\frac{5989}{13986}\).
Chúc bạn học tốt!