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a)\(\dfrac{x}{7}=\dfrac{18}{14}\)
\(\Rightarrow x=\dfrac{7.18}{14}=9\)
b)\(6:x=1\dfrac{3}{4}\)
\(\Leftrightarrow\dfrac{6}{x}=\dfrac{7}{4}\)
\(\Rightarrow x=\dfrac{6.4}{7}=\dfrac{24}{7}\)
c)5,7:0,35=(-x):0,45
\(\Leftrightarrow\dfrac{114}{7}=\dfrac{-x}{0,45}\)
\(\Rightarrow\left(-x\right)=\dfrac{114.0,45}{7}=\dfrac{-513}{70}\)
a)\(\dfrac{x}{3}=\dfrac{y}{7}=\dfrac{x+y}{3+7}=\dfrac{20}{10}=2\)
\(\dfrac{x}{3}=2\Rightarrow x=6\)
\(\dfrac{y}{7}=2\Rightarrow y=14\)
b)\(\dfrac{x}{5}=\dfrac{y}{2}=\dfrac{x-y}{5-2}=\dfrac{6}{3}=2\)
\(\dfrac{x}{5}=2\Rightarrow x=10\)
\(\dfrac{y}{2}=2\Rightarrow y=4\)
\(a,x=\dfrac{18.7}{14}\)
\(x=\dfrac{8}{2}=4\)
\(b,\)\(x=6.5:1\dfrac{3}{4}\)
\(x=30:\dfrac{7}{4}\)
\(x=30.\dfrac{4}{7}=\dfrac{120}{7}\)
\(c,-x=\)\(\dfrac{5,7.0,45}{0,35}\)
\(-x=\)\(\dfrac{2,565}{0,35}\)
\(x=\dfrac{-2,565}{0,35}\)
a)\(\dfrac{x}{7}=\dfrac{18}{14}\) b) 6:x=\(1\dfrac{3}{4}\):5 c) 5,7 : 0,35= -x: 0,45
\(\Rightarrow\) x.14= 18.7 \(\Rightarrow\) 6:x=\(\dfrac{7}{20}\) \(\Rightarrow\)\(\dfrac{114}{7}=\dfrac{-x}{0,45}\)
\(\Rightarrow\)x.14=126 \(\Rightarrow\)x=\(\dfrac{10}{21}\) \(\Rightarrow53,1=\left(-x\right).7\)
\(\Rightarrow\)x=9 \(\Rightarrow x=7,3\)
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Câu 2:
Áp dụng tính chất của dãy tỉ số bằng nhau, ta được:
\(\dfrac{x}{2}=\dfrac{y}{4}=\dfrac{z}{6}=\dfrac{x-y+z}{2-4+6}=\dfrac{8}{8}=1\)
Do đó: x=2; y=4; z=6
a) \(\frac{x}{7}=\frac{18}{14}\)
\(\frac{x}{7}=\frac{9}{7}\)
\(\Rightarrow x=9\)
b) \(6:x=1\frac{3}{4}:5\)
\(6:x=\frac{7}{4}.\frac{1}{5}\)
\(6:x=\frac{7}{20}\)
\(x=6:\frac{7}{20}\)
\(x=\frac{120}{7}\)
vay \(x=\frac{120}{7}\)
c) \(\frac{5,7}{0,35}=\frac{-x}{0,45}\)
\(\Rightarrow-0,35x=5,7.0,45\)
\(\Rightarrow-0,35x=2,565\)
\(\Rightarrow x=\frac{-2,565}{0,35}\)
\(\Rightarrow x=\frac{-513}{70}\)
vay \(x=\frac{-513}{70}\)
Bài 1 :
a) \(\frac{x}{7}=\frac{18}{14}\)
=> x.14 = 7.18
x.14 = 126
x = 126:14
x = 9
b) \(\frac{6}{x}=\frac{7}{4}\)
=> \(x=\frac{6.4}{7}=\frac{24}{7}\)
c) Theo mình đề thế này mới đúng \(\frac{5,7}{0,35}=\frac{\left(-x\right)}{0,45}\)
=> 5,7.0,45 = 0,35.(-x)
2,565 = 0,35.(-x)
(-x) = 2,565:0,35
(-x) = 513/70
=> -x = -513/70
x = 513/70
Bài 2 : Áp dụng tính chất dãy tỉ số bằng nhau ta có :
\(\frac{x}{2}=\frac{y}{4}=\frac{z}{6}=\frac{x-y+z}{2-4+6}=\frac{8}{4}=2\)
\(\frac{x}{2}=2\)
x = 2.2
x = 4
\(\frac{y}{4}=2\)
y = 2.4
y = 8
\(\frac{z}{6}\) = 2
z = 2.6
z = 12
Vậy x=4 ; y=8 và z=12
a)x=18*7/14=9
b)x=6.5/(7/4)=120/7
c)-x=5,7*0,45/0,35=513/70
a: Ta có: \(\dfrac{1}{4}:x=3\dfrac{4}{5}:40\dfrac{8}{15}\)
\(\Leftrightarrow x=\dfrac{1}{4}\cdot\dfrac{\dfrac{608}{15}}{3+\dfrac{4}{5}}\)
\(\Leftrightarrow x=\dfrac{152}{15}:\dfrac{19}{5}=\dfrac{8}{3}\)
b: Ta có: \(\left(x+1\right):\dfrac{5}{6}=\dfrac{20}{3}\)
\(\Leftrightarrow x+1=\dfrac{50}{9}\)
hay \(x=\dfrac{41}{9}\)
c: Ta có: \(\dfrac{7}{x-1}=\dfrac{x+1}{9}\)
\(\Leftrightarrow x^2-1=63\)
\(\Leftrightarrow x^2=64\)
hay \(x\in\left\{8;-8\right\}\)
c. \(\dfrac{7}{x-1}=\dfrac{x+1}{9}\)
\(7.9=\left(x-1\right).\left(x+1\right)\)
\(63=x^2-1\)
\(x^2=63+1\)
\(x^2=64\)
\(x^2=8^2\)
\(x=8\)
a/ \(\dfrac{x}{7}=\dfrac{18}{14}\)
\(\Leftrightarrow14x=7.18\)
\(\Leftrightarrow14x=126\)
\(\Leftrightarrow x=9\)
Vậy ....
b/ \(6:x=1\dfrac{3}{4}:5\)
\(\Leftrightarrow6:x=\dfrac{7}{20}\)
\(\Leftrightarrow x=\dfrac{120}{7}\)
Vậy ...........
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