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a,2.53-36:32
=2.125-36:9
=250-4=246
b,13.75+13.25-140
=13.(75+25)-140
=13.100-140
=1300-140
=1160
c,50-[30-(6-2)2]
=50-[30-42]
=50-[30-16]
=50-14=36
a)\(5^{2x-3}-2\cdot5^2=5^2\cdot3\)
\(5^{2x-3}-2\cdot25=75\)
\(5^{2x-3}-50=75\)
\(5^{2x-3}=125\)
\(125=5^3\)
\(5^3=5^{\left(3+3\right):2}=5^3\Rightarrow x=3\)
Vậy \(x=3\)
b)\(\frac{2}{9}\cdot\left(5x+1\right):2-\frac{1}{18}=\frac{5}{36}\)
\(=\frac{2}{9}\cdot\left(5x+1\right):2=\frac{5}{36}+\frac{1}{18}\)
\(=\frac{2}{9}\cdot\left(5x+1\right)=\frac{7}{36}\cdot2\)
\(5x+1=\frac{7}{18}:\frac{2}{9}\)
\(x=\left(\frac{7}{4}-1\right):5=\frac{3}{20}\)
\(\Rightarrow x=\frac{3}{20}\)
a, \(5^{2x-3}-2.5^2=5^2.3\)
\(\Leftrightarrow5^{2x-3}-2.25=25.3\)
\(\Leftrightarrow5^{2x-3}-50=75\)
\(\Leftrightarrow5^{2x-3}=125\)
\(\Leftrightarrow5^{2x-3}=5^3\)
\(\Leftrightarrow2x-3=3\)
\(\Leftrightarrow2x=6\)
\(\Leftrightarrow x=3\)
b, \(\frac{2}{9}.\left(5x+1\right):2-\frac{1}{18}=\frac{5}{36}\)
\(\Leftrightarrow\frac{2}{9}.\left(5x+1\right):2=\frac{7}{36}\)
\(\Leftrightarrow\frac{2}{9}.\left(5x+1\right)=\frac{7}{36}.2\)
\(\Leftrightarrow\frac{2}{9}.\left(5x+1\right)=\frac{7}{18}\)
\(\Leftrightarrow5x+1=\frac{7}{18}:\frac{2}{9}\)
\(\Leftrightarrow5x+1=\frac{7}{18}.\frac{9}{2}\)
\(\Leftrightarrow5x+1=\frac{7}{4}\)
\(\Leftrightarrow5x=\frac{3}{4}\)
\(\Leftrightarrow x=\frac{3}{4}:5=\frac{3}{4}.\frac{1}{5}=\frac{3}{20}\)
\(36:3^2-2.5^2\)
\(=36-2.\left(5^2-3^2\right)\)
\(=24.5^0\)
\(=24.5=120\)
a , = 123+39-23 =(123-23) +39 =100+39 =139
b, = (64+36).32 = 100.32 =3200
c, =62.4 +5.2(5-1) =62.4 + 40 = 36.4+40 =144+40 +184
d, đề sao sao ấy nhể k rõ đề lm
2.25.9+{[2.125-(5x+4).5]:(4.3.5)}=453
50.9+{[350-(5x+4).5]:60}=453
450+{[350-(5x+4).5]:60}=453
[350-(5x+4).5]:60=453-450
[350-(5x+4).5]:60=3
350-(5x+4).5=3.60
350-(5x+4).5=180
350-(5x+4)=180:5
350-(5x+4)=36
5x+4=350-36
5x+4=314
5x=314-4
5x=310
x=310:5
x=62
a) \(2.5^2.3^2+\left\{\left[2.5^3-\left(5x+4\right).5\right]:\left(2^2.3.5\right)\right\}=453\)
\(2.25.9+\left\{\left[2.125-\left(5x+4\right).5\right]:\left(4.3.5\right)\right\}=453\)
\(50.9+\left\{\left[250-\left(5x+4\right).5\right]:60\right\}=453\)
\(450+\left\{\left[250-\left(5x+4\right).5\right]:60\right\}=453\)
\(\left[250-\left(5x+4\right).5\right]:60=453-450\)
\(\left[250-\left(5x+4\right).5\right]:60=3\)
\(250-\left(5x+4\right).5=3.60\)
\(250-\left(5x+4\right).5=180\)
\(\left(5x+4\right).5=250-180\)
\(\left(5x+4\right).5=70\)
\(5x+4=70:5\)
\(5x+4=14\)
\(5x=14-4\)
\(5x=10\)
\(x=10:5\)
\(x=2\)
Vậy \(x=2\)
b) \(\left|x-\frac{1}{3}\right|=2\)
\(\Rightarrow\orbr{\begin{cases}x-\frac{1}{3}=-2\\x-\frac{1}{3}=2\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\left(-2\right)+\frac{1}{3}\\x=2+\frac{1}{3}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{-5}{3}\\x=\frac{7}{3}\end{cases}}\)
Vậy \(x\in\left\{\frac{-5}{7};\frac{7}{3}\right\}\)
2.25.9+{[2.125-25.x-20]:(4.3.5)}=453
450 +{[250-25.x -20]:60 }=453
450 +{[230-25.x] :60 }=453
450 +{23/6-13/30x }=453
23/6-5/12x =453-450
46/12-5/12x =3
(46-5x)/12 =3
46-5x =3.12=36
5x =46-36=10
x=2
Mình viết cách ra cho dễ hiểu đó
\(M= \dfrac{3^2}{2.5} +\dfrac{3^2}{5.8} +\dfrac{3^2}{8.11}+...+\dfrac{3^2}{98.101}\)
\(M= \) \( \dfrac{9}{2.5} +\dfrac{9}{5.8} +\dfrac{9}{8.11}+...+\dfrac{9}{98.101}\)
\(M=3(\dfrac{3}{2.5}+\dfrac{3}{5.8}+\dfrac{3}{8.11}+...+ \dfrac{3}{98.101})\)
\(M= 3(\dfrac{1}{2} -\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{11})\)
\(M= 3(\dfrac{1}{2}-\dfrac{1}{11})\)
\(M=3(\dfrac{11}{22}- \dfrac{2}{22})\)
\(M=3.\dfrac{9}{22}\)
\(M=\dfrac{27}{22}\)
S= 23/2.5+23/5.8+....................+23/53.56
S=8/2.5+8/5.8+8/8.11+.......+8/53.56
S=8/3.(3/2.5+3/5.8+3/8.11+...........+3/53.56)
S=8/3.(1/2-1/5+1/5-1/8+1/8-...........+1/53-1/56)
S=8/3.(1/2-1/56)
S=8/3.27/56
S=9/7
nhớ t ick cho mình nha
2.5^3 - 36:3^2
= 2.125 - 36: 9
= 300: 4
= 75
Học tốt nha!!! =)