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3 x 15 + 21 x 15 + 85 x 5
= 45 + 315 + 425
= 785
15 - 30 + 40
= 25
21 + 19 - 50 + 10
= 0
\(\dfrac{1}{5}-\dfrac{1}{4}+2\)
\(=-\dfrac{1}{20}+2\)
\(=\dfrac{39}{20}\)
\(\left(\dfrac{1}{4}+\dfrac{1}{6}\right)\times\left(\dfrac{1}{2}-\dfrac{1}{4}\right)\)
\(=\dfrac{5}{12}\times\dfrac{1}{4}\)
\(=\dfrac{5}{12}\times\dfrac{3}{12}\)
\(=\dfrac{5}{48}\)
\(\dfrac{1}{10}+\dfrac{1}{5}-\dfrac{3}{4}\)
\(=-\dfrac{9}{20}\)
\(3\times15+21\times15+85\times5\\ =15\times\left(3+21\right)+425\\ =15\times24+425\\ =360+425\\ =785\)
\(15-30+40\\ =\left(15+40\right)-30\\ =55-30\\ =25\)
\(21+19-50+10\\ =\left(21+19\right)-\left(50-10\right)\\ =40-40\\ =0\)
\(\dfrac{1}{5}-\dfrac{1}{4}+2\)
\(=\dfrac{4}{20}-\dfrac{5}{20}+\dfrac{40}{20}\)
\(=\dfrac{\left(4+40\right)}{20}-\dfrac{5}{20}\)
\(=\dfrac{44}{20}-\dfrac{5}{20}\)
\(=\dfrac{39}{20}\)
\(\left(\dfrac{1}{4}+\dfrac{1}{6}\right)\times\left(\dfrac{1}{2}-\dfrac{1}{4}\right)\)
\(=\dfrac{5}{12}\times\dfrac{1}{4}\)
\(=\dfrac{5}{48}\)
\(\dfrac{1}{10}+\dfrac{1}{5}-\dfrac{3}{4}\)
\(=\dfrac{2}{20}+\dfrac{4}{20}-\dfrac{15}{20}\)
\(=\dfrac{6}{20}-\dfrac{15}{20}\)
\(=-\dfrac{9}{20}\)
( x+1) + (x+2) +( x+3) +...+( x+9)+(x+10) = 85
\(x+1+x+2+x+3+...+x+9+x+10=85\)
\(10\times x+\left(1+2+3+...+9+10\right)=85\)
\(10\times x+\left[\left(1+10\right)\times10:2\right]=85\)
\(10\times x+55=85\)
\(10\times x=85-55\)
\(10\times x=30\)
\(x=30:10\)
\(x=3\)
( x + 1 ) + ( x + 2 ) + ( x + 3 ) + .......... + ( x + 9 ) + ( x + 10) = 85
x . 10 + ( 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 ) = 85
x . 10 + 55 = 85
x . 10 = 85 - 55
x . 10 = 30
x = 30 : 10
x = 3
Vậy x = 3
=(1+85+2009+10+1029)*20.19*20.04
=1,268,040.2184
ko biết có đúng hân nghe
= ( 1277 + 12.74 ) x ( 85 + 25 ) - 1874 x 10
= 1289.74 x (110 - 10) - 1874
= 128974 - 1874
= 127100
1277 x 85 + 12,74 x 25 - 1874 x 10
= ( 1277 + 12,74 ) x ( 85 + 25 ) - 1874 x10
= 1289,74 x ( 110 - 10 ) -1874
=128974 - 1874
=127100Thục Hiền 2005
a) \(\dfrac{25}{37}\times\dfrac{18}{29}+\dfrac{18}{29}\times\dfrac{12}{37}\)
\(=\dfrac{18}{29}\times\left(\dfrac{25}{37}+\dfrac{12}{37}\right)\)
\(=\dfrac{18}{29}\times\dfrac{37}{37}\)
\(=\dfrac{18}{29}\times1\)
\(=\dfrac{18}{29}\)
b) \(\dfrac{31}{85}\times\dfrac{11}{19}+\dfrac{31}{85}\times\dfrac{12}{19}-\dfrac{42}{19}\times\dfrac{31}{85}\)
\(=\dfrac{31}{85}\times\left(\dfrac{11}{19}+\dfrac{12}{19}-\dfrac{42}{19}\right)\)
\(=\dfrac{31}{85}\times\dfrac{-19}{19}\)
\(=\dfrac{31}{85}\times-1\)
\(=-\dfrac{31}{85}\)
c) \(\dfrac{16}{53}:\dfrac{17}{9}-\dfrac{16}{53}:\dfrac{17}{8}\)
\(=\dfrac{16}{53}:\left(\dfrac{9}{17}-\dfrac{8}{17}\right)\)
\(=\dfrac{16}{53}:\dfrac{1}{17}\)
\(=\dfrac{16}{901}\)
c) \(\dfrac{1}{5}\times\dfrac{12}{31}\times\dfrac{4}{3}+\dfrac{19}{31}\times\dfrac{4}{15}\)
\(=\dfrac{4}{15}\times\dfrac{12}{31}+\dfrac{19}{31}\times\dfrac{4}{15}\)
\(=\dfrac{4}{15}\times\left(\dfrac{12}{31}+\dfrac{19}{31}\right)\)
\(=\dfrac{4}{15}\times\dfrac{31}{31}\)
\(=\dfrac{4}{15}\times1\)
\(=\dfrac{4}{15}\)
a: =18/29*(25/37+12/37)
=18/29
b: =31/85(11/19+12/19-42/19)
=-31/85
c; =16/53(9/17+8/17)=16/53
d: =4/15(12/31+19/31)=4/15
Bài 1:
\(A=\frac{1}{\left(1+2\right)}+\frac{1}{\left(1+2+3\right)}+\frac{1}{\left(1+2+3+4\right)}\)\(+\frac{1}{\left(1+2+3+4+5\right)}+...+\)\(\frac{1}{\left(1+2+3+...+10\right)}\)
\(A=\frac{1}{3}+\frac{1}{6}+....+\frac{1}{55}\)
\(A=2\left(\frac{1}{6}+\frac{1}{12}+....+\frac{1}{110}\right)\)
\(A=2\left(\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{10.11}\right)\)
\(A=2\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{10}-\frac{1}{11}\right)\)
\(A=2.\left(\frac{1}{2}-\frac{1}{11}\right)\)
\(A=\frac{9}{11}\)
Bài 2 :
2) Tử số = 11 x 13 x 15 + 3 x 3 x 3 x 11 x 13 x 15 + 5 x 5 x 5 x 11 x 13 x 15 + 9 x 9 x 9 x 11 x 13 x 15
= (1 + 3 x 3 x 3 + 5 x 5 x 5 + 9 x 9 x9) x 11 x 13 x 15 = (1+27+125+ 729) x 11 x 13 x 15
Mẫu số = 11 x 13 x 17 + 3 x 3 x 3 x 13 x 15 x 19 + 5 x 5 x 5 x 13 x 15 x 17 + 9 x 9 x 9 x 13 x 15 x 17 lớn hơn 11 x 13 x 15 + 3 x 3 x 3 x 13 x 15 x 17 + 5 x 5 x 5 x 13 x 15 x 17 + 9 x 9 x 9 x 13 x 15 x 17
= (1 + 3 x 3 x 3 + 5 x 5 x 5 + 9 x 9 x9) 13 x 15 x 17 = (1+27+125+729) x 13 x 15 x 17
\(\Rightarrow A< \frac{\left(1+27+125+729\right)\times11\times13\times15}{\left(1+27+125+729\right)\times13\times15\times17}\)
\(=\frac{11}{17}\)
\(=\frac{1111}{1717}=B\)
Vậy \(A=B\)
a,
\(1=\frac{5}{x}=\frac{x}{12}\)
+) \(1=\frac{5}{x}\)
=> 1.x = 5.1
=> x = 5
+) \(1=\frac{x}{12}\)
=> 1.12 = x.1
=> x = 12
vậy ta có :
\(1=\frac{5}{5}=\frac{12}{12}\)
b,
\(0=\frac{x}{7}=\frac{x}{85}\)
+) \(0=\frac{x}{7}\)
=> 0.7 = 1.x
=> x = 0
+) \(0=\frac{x}{85}\)
=> 0.85 = 1.x
=> x = 85
vậy ta có \(0=\frac{0}{7}=\frac{0}{85}\)
24% + 3/4 + 0,76 + 25% + 10% x 15 + 1/10 x 85
0,24 + 0,75 + 0,76 + 0,25 + 0,1 x 15 + 0,1 x 85
= (0,24 + 0,76) + (0,75 + 0,25) + 0,1 x (15 + 85)
= 1 + 1 + 0,1 x 100
= 1 + 1 + 10
= 2 + 10
= 12
24% + \(\dfrac{3}{4}\) + 0,76 + 25% + 10% x 15 + \(\dfrac{1}{10}\) x 85
0,24 + 0,75 + 0,76 + 0,25 + 0,1 x 15 + 8,5
= (0,24 + 0,76) + (0,75 + 0,25) + (0,1 x 15 + 8,5)
= 1 + 1 + (1,5 + 8,5)
= 2 + 10
= 12
X * 5 + X * 10 + X * 85 = 37500
X * ( 5 + 10 + 85 ) = 37500
X * 100 = 37500
X = 37500 : 100
X = 375
⇒ x = 375
Lời giải :
X x (5+10+85) = 37500
X x 100 = 37500
X = 37500 : 100
X = 375
Vậy X = 375