Tìm x biết
\(\dfrac{7}{3}:0.2x=\dfrac{7}{6}:0.8\)
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7/3 : 0,2x = 7/6 : 0,8
7/3 : 0,2x = 35/24
0,2x = 7/3 : 35/24
0,2x = 8/5
x = 8/5 : 0,2
x = 8
7/3:0.2x=7/6:0.8
7/3 : 0.2 x = 35/24
0.2 x = 35/24 : 7/3
0.2 x = 5/8
x=5/8 : 0.2
x= 25/8
Vậy x=25/8
=>\(\dfrac{7}{3}:0,2x=\dfrac{7}{6}.\dfrac{5}{4}\)
=>\(\dfrac{7}{3}:0,2x=\dfrac{35}{24}\)
=>0,2\(.x=\dfrac{7}{3}:\dfrac{35}{24}\)
=>0,2\(.x=\dfrac{7}{3}.\dfrac{24}{35}\)
=>0,2.\(x=\dfrac{8}{5}\)
=>\(x=\dfrac{8}{5}:0,2\)
=>\(x=\dfrac{8}{5}.5\)
=>\(x=8\)
Vậy x=8
7) vì \(\dfrac{x}{5}\)=\(\dfrac{y}{6}\)=\(\dfrac{z}{7}\)và x-y+z=36
Nên theo tính chất của dãy tỉ số bằng nhau ta có:
\(\dfrac{x}{5}\)=\(\dfrac{y}{6}\)=\(\dfrac{z}{7}\)=\(\dfrac{x-y+z}{5-6+7}\)=\(\dfrac{36}{6}\)=6
\(\Rightarrow\)x=6.5=30
y=6.6=36
z=6.7=42
vậy x=30,y=36,z=42
a: x=4/27-2/3=4/27-18/27=-14/27
b: =>3/4x-1/4x=1/6+7/3
=>1/2x=1/6+14/6=5/2
hay x=5
c: =>13/10x=7/2+5/2=6
=>x=13/10:6=13/60
d: (3x+2)(-2/5x-7)=0
=>3x+2=0 hoặc 2/5x+7=0
=>x=-2/3 hoặc x=-35/2
\(\Rightarrow x-1=\dfrac{6}{7}+\dfrac{1}{7}\times\left(\dfrac{2}{7}+\dfrac{5}{7}\right)=\dfrac{6}{7}+\dfrac{1}{7}\times1\\ \Rightarrow x-1=\dfrac{6}{7}+\dfrac{1}{7}=1\\ \Rightarrow x=1+1=2\)
\(x-\dfrac{3}{5}=\dfrac{2}{7}+\dfrac{1}{6}\)
\(\Leftrightarrow x-\dfrac{3}{5}=\dfrac{19}{42}\)
\(\Leftrightarrow x=\dfrac{19}{42}+\dfrac{3}{5}\)
\(\Leftrightarrow x=\dfrac{221}{210}\)
=>x-3/5=12/42+7/42=19/42
=>x=19/42+3/5=95/210+126/210=221/210
Bài 1:
a) Ta có: \(\dfrac{7^4\cdot3-7^3}{7^4\cdot6-7^3\cdot2}\)
\(=\dfrac{7^3\cdot\left(7\cdot3-1\right)}{7^3\cdot2\left(7\cdot3-1\right)}\)
\(=\dfrac{1}{2}\)
c) Ta có: \(E=1+\dfrac{1}{3}+\dfrac{1}{3^2}+...+\dfrac{1}{3^{100}}\)
\(\Leftrightarrow\dfrac{1}{3}\cdot E=\dfrac{1}{3}+\dfrac{1}{3^2}+\dfrac{1}{3^3}+...+\dfrac{1}{3^{101}}\)
\(\Leftrightarrow E-\dfrac{1}{3}\cdot E=1+\dfrac{1}{3}+\dfrac{1}{3^2}+...+\dfrac{1}{3^{100}}-\left(\dfrac{1}{3}+\dfrac{1}{3^2}+\dfrac{1}{3^3}+...+\dfrac{1}{3^{101}}\right)\)
\(\Leftrightarrow E\cdot\dfrac{2}{3}=1-\dfrac{1}{3^{101}}\)
\(\Leftrightarrow E=\dfrac{3-\dfrac{3}{3^{101}}}{2}=\dfrac{1-\dfrac{1}{3^{100}}}{2}\)
\(a)\dfrac{x^2}{6}=\dfrac{36}{x}\)
\(=>x^3=36.6\)
\(=>x^3=6^3\)
\(=>x=6\)
(câu b thiếu dữ kiện)
áp dụng dãy tỉ số bằng nhau ta có
x/3=y/7=z/2=x+y+z/3+7+2=-16/12=-4/3
=>x/3=-4/3=>x=-4/3X3=-4
=>y/7=-4/3=>y=-4/3X7=-9,(3)
=>z/2=-4/3=>z=-4/3X2=-2(6)
\(\dfrac{7}{3}:0,2x=\dfrac{7}{6}:0,8\)
⇔ \(\dfrac{7}{3}:0,2x=\dfrac{35}{24}\)
⇔ \(0,2x=\dfrac{7}{3}:\dfrac{35}{24}\)
⇔ \(0,2x=1,6\)
⇔ x = 1,6 : 0,2
⇔ x = 8
Vậy x =8