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(y+1)+(y+4)+(y+7)+...+(y+28)=155
y+1+y+4+y+7+...+y+28=155
(y.(28-1):2+1)+(1+4+7+..+28)=155
y.10+145=155
y.10=10
y=10:10
y=1
b) \(\left(x+1\right)+\left(x+4\right)+...+\left(x+28\right)=155\)
\(\Leftrightarrow10x+\left(1+4+...+28\right)=155\)
\(\Leftrightarrow10x+145=155\)
\(\Leftrightarrow10x=10\)
\(\Leftrightarrow x=1\)
Vậy x=1
\(a,\left(\frac{3y}{7}+1\right)\div\left(-4\right)=-\frac{1}{28}\)
\(\left(\frac{3y}{7}+1\right)=-\frac{1}{28}\times\left(-4\right)\)
\(\frac{3y}{7}+1=\frac{1}{7}\)
\(\frac{3y}{7}=\frac{1}{7}-1\)
\(\frac{3y}{7}=\frac{-6}{7}\)
=> 3y = -6
y = -6 : 3
y = -2
Vậy y = -2
\(\dfrac{4}{x}=\dfrac{y}{21}=\dfrac{28}{49}=\dfrac{28:7}{49:7}=\dfrac{4}{9}\\ Vậy:x=\dfrac{4.9}{4}=9\\ y=\dfrac{4.21}{9}=\dfrac{28}{3}\)
\(\dfrac{x}{2}=\dfrac{3}{y}\\ \Leftrightarrow x.y=2.3=6\\ Vậy:\left[{}\begin{matrix}\left(x;y\right)=\left(1;6\right)=\left(6;1\right)\\\left(x;y\right)=\left(2;3\right)=\left(3;2\right)\end{matrix}\right.\)
a) 0,5 x - \(\frac{2}{3}\)x = \(\frac{7}{12}\)
x . ( 0,5 - \(\frac{2}{3}\)) = \(\frac{7}{12}\)
x . \(\frac{-1}{6}\) = \(\frac{7}{12}\)
x = \(\frac{7}{12}\): \(\frac{-1}{6}\)
x = \(\frac{-7}{2}\)
b) x : \(\frac{25}{3}\) = -25
x = -25 . \(\frac{25}{3}\)
x = \(\frac{-625}{3}\)
c) 5,5 x = \(\frac{13}{15}\)
x = \(\frac{13}{15}\): 5,5
x = \(\frac{26}{165}\)
d) (\(\frac{3x}{7}\)+ 1 ) : ( -4) = \(\frac{-1}{28}\)
( \(\frac{3x}{7}\)+ 1 ) = \(\frac{-1}{28}\). ( -4)
\(\frac{3x}{7}\)+ 1 = \(\frac{1}{7}\)
\(\frac{3x}{7}\) = \(\frac{1}{7}\)- 1
\(\frac{3x}{7}\) = \(\frac{-6}{7}\)
=> x = -2
e) y + 30% y = -1,3
y + \(\frac{3}{10}\)y = -1,3
y . ( 1 + \(\frac{3}{10}\)) = -1,3
y . \(\frac{13}{10}\) = -1,3
y = -1,3 : \(\frac{13}{10}\)
y = -1
g) y - 25% y = \(\frac{1}{2}\)
y - \(\frac{1}{4}\)y = \(\frac{1}{2}\)
y . ( 1 - \(\frac{1}{4}\)) = \(\frac{1}{2}\)
y . \(\frac{3}{4}\) = \(\frac{1}{2}\)
y = \(\frac{1}{2}\): \(\frac{3}{4}\)
y = \(\frac{2}{3}\)
ai tốt bụng thì tk cho mk nha, mk đg âm điểm đây huhu
`(y+1)+(y+4)+(y+7)+(y+10)+...+(y+28)=155`
`=> (y+y+y+y+...+y)(` có `(28 - 1):3 + 1 = 10` chữ số `y) + (1+4+7+10+...+28)=155`
`=> 10y + (1+4+7+10+...+28)=155`
Số hạng là:
`(28-1):3+1=10(` số hạng `)`
Tổng là:
`(28+1) . 10 : 2 = 145`
`=> 10y + 145=155`
`=> 10y = 10`
`=> y= 10:10`
`=>y=1`
Vậy: `y=1`