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200-18:(372:3.X-1)-28=166
200-18:(372:3.X-1) =166+28
200-18:(372:3.X-1) =194
200-18:(124.X-1) =194
18:(124.X-1) =200-194
18:(124.X-1) =6
124.X-1 =18:6
124.X-1 =3
124.X =3+1
124.X =4
X =4:124
X =\(\frac{1}{31}\).
\(B=\frac{3}{4.7}+\frac{3}{7.10}+...+\frac{3}{73.76}\)
\(\Leftrightarrow B=\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+...+\frac{1}{73}-\frac{1}{76}\)
\(\Leftrightarrow B=\frac{1}{4}+\left(\frac{1}{7}-\frac{1}{7}\right)+\left(\frac{1}{10}-\frac{1}{10}\right)+...+\left(\frac{1}{73}-\frac{1}{73}\right)-\frac{1}{76}\)
\(\Leftrightarrow B=\frac{1}{4}-\frac{1}{76}=\frac{9}{38}\)
~ Hok tốt ~
\(\left[200-18:\left(372:3.x-1\right)\right]-28=166\)
\(\Leftrightarrow200-18:\left(124.x-1\right)=166+28\)
\(\Leftrightarrow200-18:\left(124.x-1\right)=194\)
\(\Leftrightarrow18:\left(372:3.x-1\right)=200-194\)
\(\Leftrightarrow18:\left(124.x-1\right)=6\)
\(\Leftrightarrow124.x-1=18:6\)
\(\Leftrightarrow124.x-1=3\)
\(\Leftrightarrow124.x=3+1\)
\(\Leftrightarrow124.x=4\)
\(\Leftrightarrow x=4:124\)
\(\Leftrightarrow x=\frac{1}{31}\)
~ Hok tốt ~
200 - 18: (42 : 3 x X - 1) - 28 = 154
200 - 18 :(14 x X -1) = 182
18 : (14X - 1) = 182
18: 14X - 18 = 182
18 : 14X = 200
14X = 0,09
X = \(\frac{9}{1400}\)
a,
23x + 12x + 27x = 372
62x = 372
x = 372 : 62
x = 6
b,
x + 2x + 3x + ... + 15x = 840
( 1 + 2 + ... + 15 ) x = 840
1 + 2 + ... + 15
Số số hạng
( 15 - 1 ) : 1 + 1 = 15
Tổng
( 15 + 1 ) * 15 : 2 = 120
120x = 840
x = 840 : 120
x = 7
c,
( 2x - 11 ) ( 5x - 40 ) = 0
\(\orbr{\begin{cases}2x-11=0\\5x-40=0\end{cases}}\)
\(\orbr{\begin{cases}2x=11\\5x=40\end{cases}}\)
\(\orbr{\begin{cases}x=\frac{11}{2}\\x=8\end{cases}}\)
Bài làm :
\(a,23x+13x+27x=372\)
\(\left(23+13+27\right)x=372\)
\(63x=372\)
\(x=\frac{124}{21}\)
\(b,x+2x+3x+...+15x=840\)
\(\left(1+2+3+...+15\right)x=840\)
\(120x=840\)
\(x=7\)
\(c,\left(2x-11\right)\left(5x-40\right)=0\)
\(\Rightarrow\orbr{\begin{cases}2x-11=0\\5x-40=0\end{cases}}\Rightarrow\orbr{\begin{cases}2x=11\\5x=40\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{11}{2}\\x=8\end{cases}}\)
Vậy \(x=\frac{11}{2}\) hoặc x = 8 .
Học tốt
\(1,\frac{2}{3}+\frac{4}{9}+\frac{1}{5}+\frac{2}{15}+\frac{3}{2}-\frac{17}{18}\)
\(< =>\frac{4}{9}+\frac{3}{2}+\left(\frac{2}{3}+\frac{1}{5}+\frac{2}{15}\right)-\frac{17}{18}\)
\(< =>\frac{8}{18}+\frac{27}{18}+\left(\frac{10}{15}+\frac{3}{15}+\frac{2}{15}\right)-\frac{17}{18}\)
\(< =>\frac{35}{18}+1-\frac{17}{18}\)
\(< =>\frac{53}{18}-\frac{17}{18}\)
\(< =>2\)
\(2,\frac{13}{28}\cdot\frac{5}{12}-\frac{5}{28}\cdot\frac{1}{12}\)
\(< =>\left(\frac{13}{28}-\frac{5}{28}\right)\cdot\left(\frac{5}{12}-\frac{1}{12}\right)\)
\(< =>\frac{2}{7}\cdot\frac{1}{3}\)
\(< =>\frac{2}{21}\)
\(3,\frac{19}{4}\cdot\frac{15}{23}-\frac{15}{4}\cdot\frac{7}{23}+\frac{15}{4}\cdot\frac{11}{23}\)
\(< =>\frac{285}{92}-\frac{105}{92}+\frac{165}{92}\)
\(< =>\frac{15}{4}\)
Câu 11:
(\(\dfrac{11}{4}\). \(\dfrac{-5}{9}\) - \(\dfrac{4}{9}\).\(\dfrac{11}{4}\)).\(\dfrac{8}{33}\)
= \(\dfrac{11}{4}\).(\(\dfrac{-5}{9}\) - \(\dfrac{4}{9}\)). \(\dfrac{8}{33}\)
= \(\dfrac{11}{4}\).(-1).\(\dfrac{8}{33}\)
= - \(\dfrac{2}{3}\)
😅😅😅😅😅
200 - 18 : (372 : 3 + x - 1) - 28 = 166
=> 200 - 18 : (124 + x - 1) = 166 + 28
=> 200 - 18 : (124 + x - 1) = 194
=> 18 : (124 + x - 1) = 200 - 194
=> 18 : (124 + x - 1) = 6
=> 124 + x - 1 = 18 : 6
=> 124 + x - 1 = 3
=> 124 + x = 4
=> x = 4 - 124 = -120