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a) 2 x 12 x 43 + 3 x 32 x 8 + 25 x 6 x4
=(2 x12) x43+(3 x8) x32+(6 x4) x25
=24 x43+24 x32+ 24 x25
=24 x(43+32+25)
=24 x100
=2400
b) 78 x 31 + 78 x 24 + 17 x 78 + 28 x 78
=78x(31+24+17+28)
=78x100
=7800
4/3 * [ 7/2 - 1 1/4 ] - 3/4 * x = 2
4/3 * [ 7/2 - 5/4 ] - 3/4 * x = 2
4/3 * [ 14/4 - 5/4] - 3/4 * x = 2
4/3 * 9/4 - 3/4 * x = 2
3 - 3/4 * x = 2
3/4 * x = 3 - 2
3/4 * x = 1
x = 1 : 3/4
x = 4/4 x 4/3 = 4/3
=> x = 4/3
5 * x - 4 * x = 24 * 5
5 * x - 4 * x = 120
x * ( 5 - 4 ) = 120
x * 1 = 120
x = 120 : 1
x = 120
Ủng hộ tui nha! ^^
\(\frac{1}{2\cdot x}-2021-\frac{1}{4}-\frac{1}{12}-\frac{1}{24}-...-\frac{1}{222}=\frac{6}{11}\)
\(\frac{1}{2\cdot x}-2021-\left(\frac{1}{4}+\frac{1}{12}+\frac{1}{24}+...+\frac{1}{222}\right)=\frac{6}{11}\)
....
Cái dãy \(\frac{1}{4}+\frac{1}{12}+\frac{1}{24}+...+\frac{1}{222}\) nó không có quy luật, không tính được
Sửa đề\(\frac{1}{2x-2021}-\frac{1}{4}-\frac{1}{12}-\frac{1}{24}-...-\frac{1}{220}=\frac{6}{11}\)
=> \(\frac{1}{2x-2021}-\left(\frac{1}{4}+\frac{1}{12}+\frac{1}{24}+...+\frac{1}{220}\right)=\frac{6}{11}\)
=> \(\frac{1}{2x-2021}-\frac{1}{2}\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{110}\right)=\frac{6}{11}\)
=> \(\frac{1}{2x-2021}-\frac{1}{2}\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{10.11}\right)=\frac{6}{11}\)
=> \(\frac{1}{2x-2021}-\frac{1}{2}\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+..+\frac{1}{10}-\frac{1}{11}\right)=\frac{6}{11}\)
=> \(\frac{1}{2x-2021}-\frac{1}{2}\left(1-\frac{1}{11}\right)=\frac{6}{11}\)
=> \(\frac{1}{2x-2021}-\frac{1}{2}.\frac{10}{11}=\frac{6}{11}\)
=> \(\frac{1}{2x-2021}-\frac{5}{11}=\frac{6}{11}\)
=> \(\frac{1}{2x-2021}=1\)
=> 2x - 2021 = 1
=> 2x = 2022
=> x = 1011
Vậy x = 1011
X – 60 : 15 = 20,5
=> X – 60 = 307,5
=> X = 367,5
X : 4 + 12 = 23
=> X : 4 = 11
=> X = 44
( x – 60 ) : 15 = 20
=> x – 60 = 300
=> x = 360
3 .(x + 7)- 15= 27
=> 3 .(x + 7) = 42
=> x + 7 = 14
=> x = 7
2. ( x – 5 )- 17 = 24 + 6 x 1,5
=> 2. ( x – 5 ) - 17 = 33
=> 2. ( x – 5 ) = 50
=> x - 5 = 25
=> x = 30
\(a,x-60:15=20,5\)
\(x-4=20,5\)
\(x=20,5+4=24,5\)
\(b,x:4+12=23\)
\(x:4=23-12=11\)
\(x=11.4=44\)
\(c,\)\(\left(x-60\right)\)\(:15=20\)
\(x-60=20.15=300\)
\(x=300+60=360\)
\(d,3\left(x+7\right)\)\(-15=27\)
\(3\left(x+7\right)\)\(=27+15=42\)
\(x+7=42:3=14\)
\(x=14-7=7\)
\(e,2\left(x-5\right)\)\(-17=24+6.1,5=24+9=33\)
\(2\left(x-5\right)\)\(=33+17=50\)
\(x-5=50:2=25\)
\(x=25+5=30\)
=>........................
\(\frac{\left(120+60\right)}{12}=\frac{120}{12}+\frac{60}{12}=10+5=15\)
\(78\cdot31+78\cdot17+78\cdot24+22\cdot72=78\left(31+17+24\right)+22\cdot72\)
\(=78\cdot72+22\cdot72=72\left(78+22\right)=72\cdot100=7200\)
\(997+86=997+\left(83+3\right)=\left(997+3\right)+83\)
\(=1000+83=1083\)
\(5\cdot25\cdot2\cdot37\cdot4=\left(5\cdot2\right)\cdot\left(25\cdot4\right)\cdot37\)
\(=10\cdot100\cdot37=37000\)
\(558+336+442+664=\left(558+442\right)+\left(336+664\right)\)
\(=1000+1000=2000\)
5 x 25 x 2 x 37 x 4
= ( 5 x 2 ) x ( 25 x 4 ) x 37
= 10 x 100 x 37
= 1000 x 37
= 37000