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a.35 x 34 + 35 x 38 + 65 x 75 + 45 x 65
= 35 x (34 + 38) + 65 x 75 + 65 x 45
= 35 x 72 + 65 x (75+45)
= 35 x 72 + 65 x 120
= 35 x 72 + 65 x (72 + 48)
= 35 x 72 + 65 x 72 + 65 x 48
= (35+65) x 72 + 65 x 48
= 100 x 72 + 65 x 48
= 7200 + 3120
= 10320
b.39 x 8 + 60 x 2 + 21 x 8
=39 x 8 + 15 x 4 x 2 +21 x 8
= 39 x 8 + 15 x 8 + 21 x 8
=(39 + 15 + 21) x 8
= 75 x 8
= 600
c.58 x 75 + 58 x 50 - 58 + 25
= 58 x 75 + 58 x 50 - 58 x 1 + 25
= 58 x(75+50-1)+25
= 58 x 124 + 25
= 7192 + 25
= 7217
d.125 x 98 - 125 x 46 - 52 x 25
= 25 x 5 x 98 - 25 x 5 x 46 - 25 x 52
= 25 x 490 - 25 x 230 - 25 x 52
= 25 x (490 - 230 - 52)
= 25 x 208
= 5200
a) X = 15
b) X = 4
c ) X= 23
d) X= 11
( Chỉ là ý kiến riêng thôi nhé, nhận gạch đá )
a) \(\frac{6+x}{33}=\frac{7}{11}\)
=> (6 + x). 11 = 33.7
=> 66 + 11x = 231
=> 11x = 231 - 66
=> 11x = 165
=> x = 165 : 11
=> x = 15
b) 15/26 + x/13 = 46/52
=> x/13 = 23/26 - 15/26
=> x/13 = 4/13
=> x = 4
c) 121/27 x 54/11 < x < 100/21 : 25/126
=> 22 < x < 24
=> x = 23 (vì x là số tự nhiên)
d) 1 < 11/x < 12
=> 11/x \(\in\){2; 3; 4 ; ...; 11}
=> x \(\in\) {11/2; 11/3; ...; 1}
Vì x là số tự nhiên => x = 1
Xin lỗi bạn nhé mình chỉ làm được bài 2 thôi!
Bài 2:
a) y + y x 1/3 : 2/9 + y : 2/7 = 252
y x 1 + y x 1/3 x 9/2 + y x 7/2 = 252
y x 1 + y x 3/2 + y x 7/2 = 252
y x ( 1 + 3/2 + 7/2) = 252
y x 6 = 252
y = 252 : 6
y =42
b) ( 324 : 3 + 12 - y) : 7 = 3
( 108 + 12 - y) = 3 x 7
120 - y = 21
y = 120 - 21
y 99
3 × 25 × 8 + 4 × 37 × 6 + 2 × 38 × 12
= ( 3 × 8 ) × 25 + ( 4 × 6 ) × 37 + ( 2 × 12 ) × 38
= 24 × 25 + 24 × 37 + 24 × 38
= 24 × ( 25 + 37 + 38 )
= 25 × 100
= 2 500
35 × 34 + 35 × 66 + 65 × 55 + 65 × 45
= 35 × ( 34 + 66 ) + 65 × ( 55 + 45 )
= 35 × 100 + 65 × 100
= 100 × ( 35 + 65 )
= 100 × 100
= 10 000
Cách 1 :
136 × 68 + 16 × 272
= 136 × 2 × 34 + 16 × 272
= 272 × 34 + 16 × 272
= 272 × ( 34 + 16 )
= 272 × 50
= 13 600
Cách 2 :
136 × 68 + 16 × 272
= 136 × 68 + 16 × 2 × 136
= 136 × 68 + 32 × 136
= 136 × ( 68 + 32 )
= 136 × 100
= 13 600
a) \(3.25.8+4.37.6+2.38.12=24.25+24.37+24.38\)
\(=24.\left(25+37+38\right)=24.100=2400\)
b) \(35.34+35.66+65.55+65.45\)
\(=35.\left(34+66\right)+65.\left(55+45\right)=35.100+65.100\)
\(=100.\left(35+65\right)=100.100=10000\)
c) \(136.68+16.272=136.68+32.136\)
\(=136.\left(68+32\right)=136.100=13600\)
p/s: dấu "." là dấu nhân
\(\frac{21}{36}x\frac{39}{14}x\frac{54}{13}=\frac{21x39x54}{36x14x13}=\frac{3x7x13x3x9x6}{6x6x7x2x13}=\frac{3x9}{2x2}=\frac{27}{4}\)
\(\frac{21}{36}x\frac{39}{14}x\frac{54}{13}=\frac{13}{8}x\frac{54}{13}=\frac{54}{8}=\frac{27}{4}\)
Vì bớt cả trên lẫn dưới đi 13
\(\frac{2x-4,36}{0,125}=0,25.42,9-11,7.0,25+0,25.0,8\)
\(\Leftrightarrow\frac{2x-4,36}{0,125}=0,25.\left(42,9-11.7+0,8\right)\)
\(\Leftrightarrow\frac{2x-4,36}{0,125}=0,25.32\)
\(\Leftrightarrow\frac{2x-4,36}{0,125}=8\)
\(\Leftrightarrow2x-4,36=1\)
\(\Leftrightarrow2x=5,36\)
\(\Leftrightarrow x=2,68\)
b) \(N=\frac{1}{1.5}+\frac{1}{5.10}+\frac{1}{10.15}+\frac{1}{15.20}+...+\frac{1}{2005.2010}\)
\(\Leftrightarrow N=\frac{1}{5}\left(1-\frac{1}{5}+\frac{1}{5}-\frac{1}{10}+\frac{1}{10}-\frac{1}{15}+\frac{1}{15}-\frac{1}{20}+...+\frac{1}{2005}-\frac{1}{2010}\right)\)
\(\Leftrightarrow N=\frac{1}{5}\left(1-\frac{1}{2010}\right)\)
\(\Leftrightarrow N=\frac{1}{5}.\frac{2009}{2010}=\frac{2009}{10050}\)
Bài 1:
a)\(\frac{2\cdot x-4,36}{0,125}=0,25\cdot42,9-11,7\cdot0,25+0,25\cdot0,8\)
\(\frac{2\cdot x-4,36}{0,125}=0,25\cdot\left(42,9-11,7+0,8\right)\)
\(\frac{2\cdot x-4,36}{0,125}=0,25\cdot32\)
\(\frac{2\cdot x-4,36}{0,125}=8\)
\(2\cdot x-4,36=8\cdot0,125\)
\(2\cdot x-4,36=1\)
\(2\cdot x=1+4,36\)
\(2\cdot x=5,36\)
\(x=\frac{5,36}{2}=2,68\)
b) \(N=\frac{1}{1\cdot5}+\frac{1}{5\cdot10}+\frac{1}{10\cdot15}+\frac{1}{15\cdot20}+...+\frac{1}{2005\cdot2010}\)
\(4N=\frac{4}{1\cdot5}+\frac{4}{5\cdot10}+\frac{4}{10\cdot15}+\frac{4}{15\cdot20}+...+\frac{4}{2005\cdot2010}\)
\(4N=1-\frac{1}{5}+\frac{1}{5}-\frac{1}{10}+\frac{1}{10}-\frac{1}{15}+\frac{1}{15}-\frac{1}{20}+...+\frac{1}{2005}-\frac{1}{2010}\)
\(4N=1-\frac{1}{2010}=\frac{2009}{2010}\)
\(N=\frac{2009}{2010}\div4=\frac{2009}{8040}\)
Bài 2:
a) ( x + 5,2 ) : 3,2 = 4,7 ( dư 0,5 )
\(x+5,2=4,7\cdot3,2+0,5\)
\(x+5,2=15,54\)
\(x=15,54-5,2=10,34\)
b)\(A=\frac{4047991-2010\cdot2009}{4050000-2011\cdot2009}\)
\(A=\frac{4047991-2010\cdot2009}{4050000-2009-2010\cdot2009}\)
\(A=\frac{4047991-2010\cdot2009}{4047991-2010\cdot2009}=1\)
Bài 3:
a) \(104,5\cdot x-14,1\cdot x+9,6\cdot x=25\)
\(x\cdot\left(104,5-14,1+9,6\right)=25\)
\(x\cdot100=25\)
\(x=\frac{25}{100}=\frac{1}{4}=0,25\)
b) \(T=\frac{2009\cdot2010+2000}{2011\cdot2010-2020}\)
\(T=\frac{2009\cdot2010+2000}{2009\cdot2010+4020-2020}\)
\(T=\frac{2009\cdot2010+2000}{2009\cdot2010+2000}=1\)
\(a,\left(15x+165\right):15=11+x\)
\(=>x+11=11+x\)
\(=>x-x=11-11\)
\(=>0=0\)
=>x nhận mọi giá trị
4835- 35 x 54 - 54 x 65 + 5165
= (4835+5165) + 54 x (-35 - 65)
=10000 + 54 x (-100)
=10000 -5400
=4600
52 x 39 - 52 x 38 -30 -22
=52 x (39-38) - (30+22)
=52 x 1 -52
= 52 -52
=0
đây bạn nhé phần 2 có 2 cách ý bạn
nhưng mình viết 1 cách thui
a: 4835-35x54-54x65+5165
\(=\left(4835+5165\right)-54\times\left(35+65\right)\)
=10000-54x100
=10000-5400
=4600
b: 52x39-52x38-30-22
=52x(39-38)-52
=52x1-52
=52-52
=0