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a)(y+2):5-5x5=378
(y+2):5-25=378
(y+2):5=378+25
(y+2):5=403
(y+2)=403x5
y+2=2015
y=2015-2
y=2013
(y+2):5-5.5=378
(y+2):5-25=378
(y+20)=378+25
(y+2)=403
(y+2)=403.5
y+2=2015
y=2015-2
y=2013
Để : \(\overline{2x3}+\overline{3y5}⋮9\Leftrightarrow\left\{{}\begin{matrix}\overline{2x3}⋮9\\\overline{3y5}⋮9\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}\left(2+x+3\right)⋮9\\\left(3+y+5\right)⋮9\end{matrix}\right.\)
....
1.
c. \(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{49.50}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{49}-\frac{1}{50}\)
\(=1-\frac{1}{50}\)
\(=\frac{49}{50}\)
2.
a. \(45-5\left(y+1\right)=10\)
\(\Rightarrow5\left(y+1\right)=35\)
\(\Rightarrow y+1=7\)
\(\Rightarrow y=6\)
b. \(y:2+y:2=15\)
\(\Rightarrow\frac{1}{2}y+\frac{1}{2}y=15\)
\(\Rightarrow y=15\)
Bài 1 :
\(a,12,5\times32\times8\)
\(=\left(12,5\times8\right)\times32\)
\(=100\times32\)
\(=3200\)
\(b,20,9+20,9\times99\)
\(=20,9\times\left(1+99\right)\)
\(=20,9\times100\)
\(=2090\)
\(c,\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+....+\frac{1}{49.50}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{49}-\frac{1}{50}\)
\(=1-\frac{1}{50}\)
\(=\frac{50}{50}-\frac{1}{50}\)
\(=\frac{49}{50}\)
Bài 2 :
\(a,45-5\times\left(y+1\right)=10\)
\(5\times\left(y+1\right)=45-10\)
\(5\times\left(y+1\right)=35\)
\(y+1=35\div5\)
\(y+1=7\)
\(y=7-1\)
\(y=6\)
\(b,y\div2+y\div2=15\)
\(y\times\frac{1}{2}+y\times\frac{1}{2}=15\)
\(2\times\left(y\times\frac{1}{2}\right)=15\)
\(y=15\)
Học tốt
5+3=8; 2+3=5
Vì 9< 8+5=13<18
Vậy x+y=5 => x= 5-y
Mà: x-y=3 => (5-y)-y=3 <=> 5-2y=3 <=> 2y=8 <=> y=4 => x=1
Vậy: x=1 và y=4
Trả lời
\(\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+...+\frac{1}{49\cdot50}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{49}-\frac{1}{50}\)
\(=1-\frac{1}{50}\)
\(\Rightarrow\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+...+\frac{1}{49\cdot50}< 1\)
Vậy \(\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+...+\frac{1}{49\cdot50}< 1\left(đpcm\right)\)
50%=1/2
Có y+1/2=1/2x3
y=1/2x2=1