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1: =72/90+65/90=137/90
2: =24/56-77/56=-53/56
3: =-7/10+4/5=1/10
4: =15/100-4/100=11/100
5: =4/6-5/6=-1/6
6: =10/40-15/40-76/40=-81/40
7: =-9/10+7/18
=-81/90+35/90=-46/90=-23/45
8: =27/90-55/90=-28/90=-14/45
9: =36/60-50/60-35/60=-49/60
10: =-4/9+5/6-3/8
=-32/72+60/72-27/72
=1/72
\(5^{10}:5^8+x=3^{20}:\left(-3\right)^{18}-2^{35}:\left(-2\right)^{33}\\ \Leftrightarrow5^2+x=3^2+\left(-2\right)^2\\ \Leftrightarrow25+x=13\\ \Leftrightarrow x=-12\)
\(E=1.2.3+2.3.4+3.4.5+...+18.19.20\)
\(4E=1.2.3.4+2.3.4.4+3.4.5.4+...+18.19.20.4\)
\(4E=1.2.3.4+2.3.4.\left(5-1\right)+3.4.5.\left(6-2\right)+...+18.19.20.\left(21-17\right)\)
\(4E=1.2.3.4+2.3.4.5-1.2.3.4+3.4.5.6-2.3.4.5+...+18.19.20.21-17.18.19.20\)
\(4E=18.19.20.21\)
\(4E=143640\)
\(E=\frac{143640}{4}\)
\(E=35910\)
Chúc bạn học tốt ~
\(G=2.4.6+4.6.8+6.8.10+...+18.20.22\) ( xem lại đề có nhầm dấu ko nha bn )
\(8G=2.4.6.8+4.6.8.8+6.8.10.8+...+18.20.22.8\)
\(8G=2.4.6.8+4.6.8.\left(10-2\right)+6.8.10.\left(12-4\right)+...+18.20.22\left(24-16\right)\)
\(8G=2.4.6.8+4.6.8.10-2.4.6.8+6.8.10.12-4.6.8.10+...+18.20.22.24-16.18.20.22\)
\(8G=18.20.22.24\)
\(8G=190080\)
\(G=\frac{190080}{8}\)
\(G=23760\)
Chúc bạn học tốt ~
\(A=\frac{5}{2.4.6}+\frac{5}{4.6.8}+...+\frac{5}{16.18.20}\)
\(4A=5.\left(\frac{4}{2.4.6}+\frac{4}{4.6.8}+...+\frac{4}{16.18.20}\right)\)
\(4A=5.\left(\frac{1}{2.4}-\frac{1}{4.6}+\frac{1}{4.6}-\frac{1}{6.8}+...+\frac{1}{16.18}-\frac{1}{18.20}\right)\)
\(4A=5.\left(\frac{1}{8}-\frac{1}{360}\right)\)
\(4A=5.\left(\frac{45}{360}-\frac{1}{360}\right)\)
\(4A=5.\frac{44}{360}\)
\(A=\frac{5.44}{360.4}\)
\(A=\frac{11}{72}\)
Tham khảo~
\(A=\frac{5}{2\cdot4\cdot6}+\frac{5}{4\cdot6\cdot8}+.....+\frac{5}{16\cdot18\cdot20}\)
\(\frac{4}{5}A=\frac{4}{2\cdot4\cdot6}+\frac{4}{4\cdot6\cdot8}+.........+\frac{4}{16\cdot18\cdot20}\)
\(\frac{4}{5}A=\frac{1}{2\cdot4}-\frac{1}{4\cdot6}+\frac{1}{4\cdot6}-\frac{1}{6\cdot8}+.........+\frac{1}{16\cdot18}-\frac{1}{18\cdot20}\)
\(\frac{4}{5}A=\frac{1}{2\cdot4}-\frac{1}{18\cdot20}\)
\(\frac{4}{5}A=\frac{1}{8}-\frac{1}{360}\)
\(\frac{4}{5}A=\frac{11}{90}\)
\(A=\frac{11}{90}:\frac{4}{5}=\frac{11}{72}\)
x+8/10=340/360-324/360
x+8/10=16/360
x=16/360-80/360
x=-64/360
x-1/10=1/15
x=1/15+1/10
x=10/150-15/150
x=-5//150=-1/30
(3/5-2)+13/20=5/6
(3/5-10/5)+13/20
-7/5+13/20=5/6
Lời giải:
a. $(x+5)-20=123$
$x+5=123+20=143$
$x=143-5=138$
b.
$-18+(3-x)=25$
$3-x=25+18=43$
$x=3-43=-404
c. $4(x-2)+11=-13$
$4(x-2)=-13-11$
$4(x-2)=-24$
$x-2=-24:4=-6$
$x=-6+2=-4$
d.
$(x+10):(-20)=6$
$x+10=6(-20)=-120$
$x=-120-10=-130$
a)(x+5)-20=123
(x+5)=123+20
x+5=143
x=143-5
x=138
b)-18 + (3-x)=25
(3-x)=25-(-18)
3-X=43
x=3-43
x=-40
c)4.(x-2):(-20)=6
4.(x-2)=6.(-20)
4.(x-2)=-120
x-2=(-120):4
x-2=-30
x=(-30)+2
x=-28
d)
( x + 10 ) : ( - 20 ) = 6
x+10=6.(-20)
x+10=-120
x=(-120)-10
x=-130
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791:789+5.52-124
=791:789+5.25-124
=791-89+125-124
=72+125-124
=49+125-124
=174-124
=50
4.15+28:7-620:618
=60+4-620-18
=64-62
=64-36
=28
(32+23):7
=(9+8):7
=17:7
=17/7
1125:1123-35:(110+23)-60
=1125:1123-35:(1+8)-60
=1125:1123-35:9-60
=1125:1123-35:33-60
=1125-23-35-3-60
=112-32-60
=121-9-60
=112-60
=52
(-20)+18+(-2)
= (-2)+(-2)
= -4
(-5).2+10
= (-10)+10
=0
(-20) + 18 + (-2)
= (-2) + (-2)
= -4
(-5).2 + 10
= (-10) + 10
= 0