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Câu 1:
Ta có: \(\dfrac{x-4}{y-3}=\dfrac{4}{3}\)
=> \(3.\left(x-4\right)=4.\left(y-3\right)\)
=>\(3x-12=4y-12\)
=>\(3x=4y\) (1)
Ta có: \(x-y=5\)
=> \(y=y+5\) Thay vào (1) ta có:
\(3.\left(y+5\right)=4.\)y
=>\(3y+15=4y\)
=> \(15=4y-3y\)
=> 15 = y
=> y =15
ta có: x = y +5
=> x = 15 +5
=> x =20
Câu 2:
\(B=\dfrac{10}{56}+\dfrac{10}{140}+\dfrac{10}{260}+...+\dfrac{10}{1400}\)
\(B=\dfrac{5}{28}+\dfrac{6}{70}+\dfrac{5}{130}+...+\dfrac{5}{700}\)
\(B=\dfrac{5}{4.7}+\dfrac{5}{7.10}+\dfrac{5}{10.13}+...+\dfrac{5}{25.28}\)
\(B=5,\left(\dfrac{1}{4}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{10}+\dfrac{1}{10}-\dfrac{1}{13}+...+\dfrac{1}{25}-\dfrac{1}{28}\right)\)
\(3B=5.\left(\dfrac{3}{4.7}+\dfrac{3}{7.10}+\dfrac{3}{10.13}+...+\dfrac{3}{25.28}\right)\)
\(3B=5.\left(\dfrac{1}{4}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{10}+\dfrac{1}{10}-\dfrac{1}{13}+...+\dfrac{1}{25}-\dfrac{1}{28}\right)\)
\(3B=5.\left(\dfrac{1}{4}-\dfrac{1}{28}\right)\)
\(3B=5.\dfrac{3}{14}\)
\(B=\dfrac{15}{14}:3=\dfrac{5}{14}\)
Câu 3:
38 - (|x+10|+13) = \(\left(-6\right)^{20}:\left(9^9.4^{10}\right)\)
=> \(38-\left(\left|x+10\right|+13\right)=\left(2.3\right)_{ }^{20}:\)\(\left[\left(3^2\right)^9.\left(2^2\right)^4\right]\)
=>\(38-\left(\left|x+10\right|+13\right)=2^{20}.3^{20}:\left(3^{18}.2^{20}\right)\)
=> \(38-\left(\left|x+10\right|+13\right)=\dfrac{3^{20}.2^{20}}{3^{18}.2^{20}}\)
=> \(38-\left(\left|x+10\right|+13\right)=9\)
=> |x +10| + 13 = 38 -9
=> |x+10| +13 = 29
=> |x+10| = 29 -13
=> |x+10| = 16
\(\Rightarrow\left[{}\begin{matrix}x+10=16\\x+10=-16\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=6\\x=-26\end{matrix}\right.\)
34 + (9-21)=3417-(x+341)
22 = 3417-(x+341)
3417-(x+341)=22
x+341=3417-22
x+341=3395
x=3395-341 ; x =3054
Xin lỗi Quảng Bùi Quỳnh Trang, tớ lỡ bấm vào sai rồi
I'm sorry
<=>38-(|x+10|+13)=-(|x+10|-25)
=>-(|x+10|-25)=32
=>-(|x+10|-25)=9
=>-(|x+10|)=9+(-25)
=>-(|x+10|)=-16
=>-(x+10)=±-16
TH1:-(x+10)=-16
=>x=-26
TH2:-(x+10)=16
=>x=6
mình không biết làm các bạn giúp mình nhé phải làm đúng 100% đấy nhé
1: =-2/9(15/17+2/17)=-2/9
2: \(=\dfrac{-6}{3}+\dfrac{-21}{90}\)
=-2-7/30=-67/30
3: \(=\dfrac{3}{4}\cdot\dfrac{7}{5}+\dfrac{9}{7}\cdot\dfrac{3}{2}\)
=21/20+27/14=417/140
4: =-25/13(5/19+14/19)=-25/13
5: =-7/5-45/21=-7/5-15/7=-124/35
1: =-2/9(15/17+2/17)=-2/9
2: =−63+−2190=−63+−2190
=-2-7/30=-67/30
3: =34⋅75+97⋅32=34⋅75+97⋅32
=21/20+27/14=417/140
4: =-25/13(5/19+14/19)=-25/13
5: =-7/5-45/21=-7/5-15/7=-124/35
Lười quá làm mẫu 1,2 câu thôi nhé
1)
<=> 3x - 5x = 2 + 6
<=> -2x = 8
<=> x = 8 : (-2)
<=> x = -4
3) -3 - ! x + 5 ! = -9
! x + 5 ! = -3 + 9
! x + 5 ! = 6
=> x + 5 = 6 hay x + 5 = -6
x = 6 -5 hay x = -6 - 5
x = 1 hay x = -11
\(38-\left(\left|x+10\right|+13\right)=\left(-6\right)^{20}:\left(9^9.4^{10}\right)\)
\(38-\left(\left|x+10\right|+13\right)=\left(-3\right)^{20}.2^{20}:\left(9^9.4^{10}\right)\)
\(38-\left(\left|x+10\right|+13\right)=9^{10}.2^{20}:9^9.2^{20}\)
\(38-\left(\left|x+10\right|+13\right)=9\)
\(\Rightarrow\left|x+10\right|+13=38-9\)
\(\left|x+10\right|=29-13\)
\(\left|x+10\right|=16\)
\(\Leftrightarrow\orbr{\begin{cases}x+10=16\\x+10=-16\end{cases}\Leftrightarrow\orbr{\begin{cases}x=6\\x=-26\end{cases}}}\)
Vậy x = 6 hoặc x = -26
thank nha kết bạn ko bạn :@shuichi akai