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Bài 1:
y/0,25+y*11-y*5=1.8
y*4+y*11-y*5=1.8
y*(4+11-5)=1.8
10y=1.8
y=0.18
Bài 2:
0.32+56*0.95-31*12=0.32+53.2-372=-318.48
78/0.25*3+45*9=78*4*3+45*9=78.12+45.9=936-405=531
a, \(y-\frac{8}{3}=\frac{7}{5}:\frac{7}{3}\frac{7}{5}.\frac{3}{7}=\frac{3}{5}\)
\(y=\frac{3}{5}+\frac{8}{3}=\frac{9}{15}+\frac{40}{15}=\frac{49}{15}\)
7,75-(0,5xY:5-6,2) = 1,75
(0,5xY :5-6,2)=7,75-1,75
(0,5xY:5-6,2)= 6
0,5xY:5=6+6,2
0,5xY:5= 12,2
0,5xY= 12,2x5
0,5xY=61
Y=61:0,5
Y=122
vậy Y= 122
7,75-(0,5*y:5-6,2)=1,75
0,5*y:5-6,2=7,75-1,75
0,5:5*y-6,2=6
0,1*y-6,2=6
y-6,2=6:0,1
y-6,2=60
y=60+6,2
y=66,2
\(7,75-\left(0,5\times x\div5-6,2\right)=5\)
\(\Leftrightarrow0,5\times x\div5-6,2=7,75-5\)
\(\Leftrightarrow\frac{0,5\times x}{5}-6,2=2,75\)
\(\Leftrightarrow\frac{0,1\times5\times x}{5}=2,75+6,2\)
\(\Leftrightarrow0,1x=8,95\)
\(\Leftrightarrow x=\frac{8,95}{0,1}\)
\(\Leftrightarrow x=89,5\)
7,75 - (0,5 x X : 5-6,2)= 5
0,5 x X : 5-6,2 = 7,75 - 5
0,5 x X : 5-6,2 = 2,75
0,5 x X : 5 = 2,75 + 6,2
0,5 x X : 5 = 8,95
0,5 x X = 8,95 x 5
0,5 x X = 44,75
X = 44,75 : 0,5
=> X = 89,5
Chúc em học tốt!!!
6,3 x y + 3,7 x y = 100
(6,3 + 3,7) x y = 100
10 x y = 100
y = 100 : 10
y = 10
7,75 - (0,5 x y : 5 - 6,3) = 1,75
0,5 x y : 5 - 6,2 = 7,75 - 1,75
0,5 x y : 5 - 6,2 = 6
0,5 x y : 5 = 6 + 6,2
0,5 x y : 5 = 12,2
0,5 x y = 12,2 x 5
0,5 x y = 61
y = 61 : 0,5
y = 122
\(6,3\times y+3,7\times y=100\)
\(\Rightarrow y\times\left(6,3+3,7\right)=100\)
\(\Rightarrow y\times10=100\)
\(\Rightarrow y=100:10=10\)
\(7,75-\left(0,5\times y:5-6,2\right)=1,75\)
\(\Rightarrow0,5\times y:5-6,2=7,75-1,75\)
\(\Rightarrow0,5\times y:5-6,2=6\)
\(\Rightarrow0,5\times y:5=6+6,2\)
\(\Rightarrow0,5\times y:5=12,2\)
\(\Rightarrow y:5=12,2:0,5\)
\(\Rightarrow y:5=24,4\)
\(\Rightarrow y=24,4\times5=122\)
Bài 1 : \(\frac{2}{3}< \left[\frac{1}{6}+\frac{2}{15}+\frac{3}{40}+\frac{4}{96}\right]:5\times x< \frac{5}{6}\)
=> \(\frac{2}{3}< \left[\frac{1}{6}+\frac{2}{15}+\frac{3}{40}+\frac{1}{24}\right]:5\cdot x< \frac{5}{6}\)
=> \(\frac{2}{3}< \left[\frac{1}{6}+\frac{1}{24}+\frac{2}{15}+\frac{3}{40}\right]:5\cdot x< \frac{5}{6}\)
=> \(\frac{2}{3}< \frac{5}{12}:5\cdot x< \frac{5}{6}\)
=> \(\frac{2}{3}< \frac{1}{12}\cdot x< \frac{5}{6}\)
=> \(\frac{2}{3}< \frac{x}{12}< \frac{5}{6}\)
=> \(\frac{8}{12}< \frac{x}{12}< \frac{10}{12}\)
=> x = 9
Bài 2 : \(\frac{\left[\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\right]}{x}=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{132}\)
=> \(\frac{\left[1-\frac{1}{2}+\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{8}+\frac{1}{8}-\frac{1}{16}\right]}{x}=\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+...+\frac{1}{11\cdot12}\)
=> \(\frac{\left[1-\frac{1}{16}\right]}{x}=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{11}-\frac{1}{12}\)
=> \(\frac{15}{\frac{16}{x}}=1-\frac{1}{12}\)
=> \(\frac{15}{\frac{16}{x}}=\frac{11}{12}\)
=> \(\frac{15}{16}:x=\frac{11}{12}\)
=> \(x=\frac{45}{44}\)
Bài 3 : \(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{1}{x\times(x+1):2}=\frac{399}{400}\)
=> \(\frac{2}{6}+\frac{2}{12}+\frac{2}{20}+...+\frac{2}{x\times(x+1)}=\frac{399}{400}\)
=> \(2\left[\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{x\times(x+1)}\right]=\frac{399}{400}\)
=> \(2\left[\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+...+\frac{1}{x\times(x+1)}\right]=\frac{399}{400}\)
=> \(\left[\frac{1}{2}-\frac{1}{3}+...+\frac{1}{x}-\frac{1}{x+1}\right]=\frac{399}{800}\)
=> \(\frac{1}{2}-\frac{1}{x+1}=\frac{399}{800}\)
=> \(\frac{1}{x+1}=\frac{1}{800}\)
=> x = 799
Bài 2 :
\(\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\right):x=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{132}\) (*)
Ta có : \(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}=\frac{8}{16}+\frac{4}{16}+\frac{2}{16}+\frac{1}{16}=\frac{8+4+2+1}{16}=\frac{15}{16}\) (1)
Lại có : \(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{132}\)
\(=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{11.12}\)
\(=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{11}-\frac{1}{12}\)
\(=1\left(-\frac{1}{2}+\frac{1}{2}\right)+\left(-\frac{1}{3}+\frac{1}{3}\right)+...+\left(-\frac{1}{11}+\frac{1}{11}\right)-\frac{1}{12}\)
\(=1-\frac{1}{12}=\frac{11}{12}\) (2)
Thay (1) và (2) vào biểu thức (*) ta được :
\(\frac{15}{16}:x=\frac{11}{12}\)
\(\Leftrightarrow x=\frac{15}{16}:\frac{11}{12}\)
\(\Leftrightarrow x=\frac{45}{44}\)
Vậy : \(x=\frac{45}{44}\)
Ta có : 7,75 - ( 0,5 x y : 5 - 6,2 ) = 1,75
<=> 0,5 x y : 5 - 6,2 = 7,75 - 1,75
<=> 0,5 x y : 5 - 6,2 = 6
<=> 0,5x y : 5 = 6 + 6,2
<=> 0,5 x y : 5 = 12,2
<=> 0,5 x y = 12,2 x 5
<=> 0,5 x y = 61
<=> y = 61 : 0,5
<=> y =122
Vậy y =122
\(7,75-\left(0,5\cdot y:5-6,2\right)=1,75\)
\(0,5\cdot y:5-6,2=7,75-1,75\)
\(0,5\cdot y:5-6,2=6\)
\(0,5\cdot y:5=6+6,2\)
\(0,5\cdot y:5=12,2\)
\(0,5\cdot y=12,2\cdot5\)
\(y=61:0,5=122\)
Vậy y = 122