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\(\left(y+1\right)+\left(y+2\right)+\left(y+3\right)+...+\left(y+100\right)=5750\)
\(\Leftrightarrow\left(y+y+y+...+y\right)+\left(1+2+3+...+100\right)=5750\)
\(\Leftrightarrow100y+5050=5750\)
\(\Leftrightarrow100y=5750-5050\)
\(\Leftrightarrow100y=700\)
\(\Leftrightarrow y=700\div100\)
\(\Leftrightarrow y=7\)
Vậy y = 7
y+1+y+2+y+3+.......+y+100=5750
(y+y+y+....+y)+(1+2+3+......100)=5750
100 chữ số y
100*y+5050=5750
100*y=5750-5050
100*y=700
y=700/100
y=7
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a) Y x 4 - Y : 4 - 24,76 = 190,48 : 2
Y x 4 - Y x 1/4 - 24,76 = 95,24
Y x (4 - 1/4) = 95,24 + 24,76
Y x 15/4 = 120
Y = 120 : 15/4 = 32
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Ta có : \(\frac{x}{4}=\frac{y}{7}\)
\(\Rightarrow\frac{x^2}{16}=\frac{y^2}{49}=\frac{3x^2}{48}=\frac{4y^2}{196}=\frac{3x^2-4y^2}{48-196}=\frac{100}{-148}=-\frac{25}{37}\)
Thay vào là ra nhé !:D
Cái chỗ Nguyễn Quang Trung đúng ròi
\(\Rightarrow\hept{\begin{cases}\frac{x}{4}=-\frac{25}{37}\\\frac{y}{7}=-\frac{25}{37}\end{cases}}\Rightarrow\hept{\begin{cases}x=-\frac{100}{37}\\y=-\frac{175}{37}\end{cases}}\)
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\(\frac{1}{3}+\frac{2}{3}-\frac{1}{4}\div y=\frac{75}{100}\)
\(\Leftrightarrow\frac{3}{3}-\frac{1}{4}\div y=\frac{3}{4}\)
\(\Leftrightarrow\frac{1}{4}\div y=\frac{3}{3}-\frac{3}{4}\)
\(\Leftrightarrow\frac{1}{4}\div y=\frac{3}{12}\)
\(\Leftrightarrow y=\frac{1}{4}\div\frac{3}{12}\)
\(\Leftrightarrow y=1\)
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a)100-9:(372:3.y-1)-14=83
<=>100-9:(124y-1)-14=83
<=>86-9:(124y-1)=83
<=>9:(124y-1)=3
<=>124y-1=3
<=>124y=4
<=>y=\(\frac{1}{31}\approx0,3223\)
b)7260-120:24.y+924=528,3
<=>8184-5y=528,3
<=>5y=7655,7
<=>y=1531,14
c)2000-52:(615:3:y-15)-14=1984
<=>1986-52:(205:y-15)=1984
<=>52:(205:y-15)=2
<=>205:y-15=26
<=>205:y=41
<=>y=5
d)y+y.1/3+5/18=7/18
<=>4/3y=1/9
<=>y=1/12
e)13/15-(5/21+y)7/12=7/10
<=>7/12.(5/21+y)=1/6
<=>5/36+7/12y=1/6
<=>7/12y=1/36
<=>y=1/21\(\approx\)0,4762
h)y+2.y+3.y+...+10.y=49,5
<=>55y=49,5
<=>y=0,9
i)y.(1975/8.9+1885/9.10+1755/10.11+1579/11.12)=1/24
<=>7991,364899y=1/24
<=>y=33/6329161
tích nha mỏi tay quá
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![](https://rs.olm.vn/images/avt/0.png?1311)
a) Sai đề
b) y + 2 . y + 3 . y + ... + 100 . y = 15 150
=> y . ( 1 + 2 + 3 + ... + 100 ) = 15 150
=> y . ( 100 + 1 ) . 100 : 2 = 15 150
=> y . 5050 = 15 150
=> y = 3
( y+1) + ( y+2) + (y+3) + ( y+4)+...+( y+100) = 5750
=>( 100 x y )+ ( 1+2+3+4+ ...+ 100) = 5750
100 x y +[ (1+100) .100 : 2 ]= 5750
100 x y + 5050 = 5750
100 x y = 5750 - 5050
100 x y = 700
y = 700 : 100
y = 7
(y+1) +(y+2) + (y+3) + ( y+4) + ...+ (y+100)= 5750
............................
y=7
Hk tốt