Tỉ số \(\dfrac{1}{10}\)m và 25cm là
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a) 75cm = 0,75m`
`=>` Tỉ số là: `4/3 : 0,75 = 16/9%`
b) `7/10 h = 42` phút
`=> 42:25=42/25`
c) `10` tạ = `1000 kg`
`=> 10 : 1000 = 1/100`

Đặt \(\left\{{}\begin{matrix}\dfrac{a}{b^2}=x\\\dfrac{b}{c^2}=y\\\dfrac{c}{a^2}=z\end{matrix}\right.\Rightarrow xyz=1;x+y+z=\dfrac{1}{x}+\dfrac{1}{y}+\dfrac{1}{z}\)
Ta có \(x+y+z=\dfrac{1}{x}+\dfrac{1}{y}+\dfrac{1}{z}\)
\(\Leftrightarrow x+y+z=xy+yz+zx\)
\(\Leftrightarrow xyz-1+x+y+z-xy-yz-zx=0\)
\(\Leftrightarrow\left(x-1\right)\left(y-1\right)\left(z-1\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(y-1\right)\left(z-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\y=1\\z=1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}\dfrac{a}{b^2}=1\\\dfrac{b}{c^2}=1\\\dfrac{c}{a^2}=1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}a=b^2\\b=c^2\\c=a^2\end{matrix}\right.\left(đpcm\right)\)

\(\left(A\right)5:4 ; \left(B\right)2:1 ; \left(C\right)=25:8 ; \left(D\right)96:7\)

tỉ số của a / b là (92 - 1/9 - 2/ 10 - 3/11 - ... - 92/100) trên 1/45 + 1/50 + ... + 1/500 :)) hay ngắn tắc hơn là A/B cho nhanh :)))))))))))))))
\(A=\left(1+1+...+1\right)-\left(\dfrac{1}{9}+\dfrac{2}{10}+...+\dfrac{92}{100}\right)\)𝓒𝓸́ 92 𝓼𝓸̂́ 1
\(A=\left(1-\dfrac{1}{9}\right)+\left(1-\dfrac{2}{10}\right)+...+\left(1-\dfrac{92}{100}\right)\)
\(A=\dfrac{8}{9}+\dfrac{8}{10}+...+\dfrac{8}{100}\)
\(A=8.\left(\dfrac{1}{9}+\dfrac{1}{10}+...+\dfrac{1}{100}\right)\)
\(B=\dfrac{1}{45}+\dfrac{1}{50}+...+\dfrac{1}{500}\)
\(B=\dfrac{1}{5}.\left(\dfrac{1}{9}+\dfrac{1}{10}+...+\dfrac{1}{100}\right)\)
\(\Rightarrow\dfrac{A}{B}=\dfrac{8.\left(\dfrac{1}{9}+\dfrac{1}{10}+...+\dfrac{1}{100}\right)}{\dfrac{1}{5}.\left(\dfrac{1}{9}+\dfrac{1}{10}+...+\dfrac{1}{100}\right)}\\ \Rightarrow\dfrac{A}{B}=\dfrac{8}{\dfrac{1}{5}}=40\)
𝓥𝓪̣̂𝔂 𝓽𝓲̉ 𝓼𝓸̂́ 𝓬𝓾̉𝓪 𝓐 𝓿𝓪̀ 𝓑 𝓵𝓪̀ 40

a; MA/MB=1/2
=>MB/MA=2/1
=>MB/MA+1=2/1+1
=>BA/MA=3
=>MA/AB=1/3
b: \(\dfrac{MA}{MB}=\dfrac{7}{4}\)
=>MB=4/7MA
=>MB+MA=11/7MA
=>AB=11/7MA
=>MA/AB=7/11

a) \(\dfrac{a}{b}=\dfrac{0.6\cdot100}{70}=\dfrac{60}{70}=\dfrac{6}{7}\)
b) \(\dfrac{a}{b}=\dfrac{0.2\cdot100}{12}=\dfrac{20}{12}=\dfrac{5}{3}\)
c) \(\dfrac{a}{b}=\dfrac{\dfrac{2}{3}\cdot100}{75}=\dfrac{200}{3}\cdot\dfrac{1}{75}=\dfrac{200}{225}=\dfrac{8}{9}\)
d) \(\dfrac{a}{b}=\dfrac{3}{10}:\dfrac{1}{3}=\dfrac{3}{10}\cdot3=\dfrac{9}{10}\)
`1/10m=10cm`
tỉ số đó là
`10/25=2/5`
tỉ số là
11025=110:25=1625