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\(\frac{7^2}{49}=1\)
\(\frac{x+5}{-7}=\frac{5}{30-y}=1\)
*\(\frac{x+5}{-7}=1\Rightarrow x=-12\)
*\(\frac{5}{30-y}=1\Rightarrow y=25\)
Vậy x = -12; y = 25
\(\frac{5-\frac{5}{7}-\frac{5}{49}}{4-\frac{4}{7}-\frac{4}{49}}+\frac{1,5+75\%-\frac{3}{8}}{0.625-\frac{5}{2}-125\%}\)
\(=\frac{5.\left(\frac{1}{5}-\frac{1}{7}-\frac{1}{49}\right)}{4\cdot\left(\frac{1}{4}-\frac{1}{7}-\frac{1}{49}\right)}+\frac{\frac{3}{2}+\frac{3}{4}-\frac{3}{8}}{\frac{5}{8}-\frac{5}{2}-\frac{5}{4}}\)
\(=\frac{5}{4}+\frac{3\cdot\left(\frac{1}{2}+\frac{1}{4}-\frac{1}{8}\right)}{5\cdot\left(\frac{1}{8}-\frac{1}{2}-\frac{1}{4}\right)}\)
\(=\frac{5}{4}+\left(-\frac{3}{5}\right)\)
\(=\frac{13}{20}\)
\(\frac{x}{2}-\frac{11}{5}\)\(=\frac{7}{8}\times\frac{64}{49}\) ⇒\(\frac{x}{2}\) \(-\frac{11}{5}\)\(=\)\(\frac{8}{7}\) ⇒\(\frac{x}{2}=\frac{8}{7}+\frac{11}{5}\) ⇒\(\frac{x}{2}=\frac{117}{35}\) ⇒\(x=\frac{117}{35}\times2=\frac{234}{35}\)
1, Tính tổng:
\(C=\frac{5}{7}\cdot\frac{5}{11}+\frac{5}{7}\cdot\frac{2}{11}-\frac{5}{7}\cdot\frac{14}{11}\)
\(=\frac{5}{7}\cdot\left(\frac{5}{11}+\frac{2}{11}-\frac{14}{11}\right)=\frac{5}{7}\cdot\frac{-7}{11}=\frac{-5}{11}\)
2, Tìm x:
\(x+\frac{5}{5\cdot9}+\frac{4}{9\cdot13}+\frac{4}{13\cdot17}+...+\frac{4}{41\cdot45}=\frac{-37}{45}\)
\(\Rightarrow x+\frac{1}{5}-\frac{1}{9}+\frac{1}{9}-\frac{1}{13}+\frac{1}{13}-\frac{1}{17}+...+\frac{1}{41}-\frac{1}{45}=\frac{-37}{45}\)
\(\Rightarrow x+\frac{1}{5}-\frac{1}{45}=\frac{-37}{45}\Rightarrow x+\frac{9}{45}-\frac{1}{45}=\frac{-37}{45}\)
\(\Rightarrow x+\frac{8}{45}=\frac{-37}{45}\Rightarrow x=\frac{-37}{45}-\frac{8}{45}=\frac{-45}{45}=-1\)
- Các bài tìm x còn lại bạn cứ theo trình tự thực hiện phép tính mà làm nhé!
\(C=\frac{5}{7}\cdot\frac{5}{11}+\frac{5}{7}\cdot\frac{2}{11}-\frac{5}{7}\cdot\frac{14}{11}\)
\(=\frac{5}{7}\cdot\left(\frac{5}{11}+\frac{2}{11}-\frac{14}{11}\right)\)
\(=\frac{5}{7}\cdot-\frac{7}{11}\)
\(=-\frac{5}{11}\)
a. 60%x + 0,4x + x : 3 = 2
0.6x + 0,4x + x : 3 = 2
x(0,6 + 0,4 : 3 ) = 2
\(x.\frac{1}{3}=2=>x=2:\frac{1}{3}=\frac{1}{6}\)
câu B tự làm nha .
\(\frac{x+5}{-7}=\frac{5}{30-y}=\frac{49}{49}=1\)
\(\Rightarrow\hept{\begin{cases}\frac{x+5}{-7}=1\\\frac{5}{30-y}=1\end{cases}\Leftrightarrow\hept{\begin{cases}x+5=-7\\5=30-y\end{cases}\Leftrightarrow}\hept{\begin{cases}x=-7-5\\y=30-5\end{cases}\Leftrightarrow}\hept{\begin{cases}x=-12\\y=25\end{cases}}}\)
\(\frac{x+5}{-7}=\frac{5}{30-y}=\frac{7^2}{49}\)
\(\frac{x+5}{-7}=\frac{5}{30-y}=\frac{49}{49}=1\)
\(\Rightarrow\frac{x+5}{-7}=\frac{-7}{-7}\) và \(\frac{5}{30-y}=\frac{5}{5}\)
\(\Rightarrow x=-12;y=25\)