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A) 7/38 x 9/11 +7/38 x 4/11 -7/38 x 2/11
=7/38.(9/11+4/11-2/11)
=7/38
B) 5/31 x 21/25 + 5/31 x -7/10 - 5/31 x 9/20
=5/31.(21/25-7/10-9/20)
=5/31.(-31/100)
=-1/20
3-/x-5/=-7+/-8/
3-/x-5/=-7+8
3-/x-5/=1
/x-5/=3-1
/x-5/=2
=>x-5=2 hoặc x-5=-2
x=5+2 x=5+(-2)
x=7 x=3
vậy x\(\in\){3;7}
\(1.\)\(3-\left|X-5\right|=-7+\left|-8\right|\)
\(3-\left|X-5\right|=-7+8\)
\(3-\left|X-5\right|=1\)
\(\left|X-5\right|=3-1\)
\(\left|X-5\right|=2\)
\(\Rightarrow X-5=2\)\(ho\text{ặ}c\)\(X-5=\left(-2\right)\)
\(N\text{ếu}\)\(X-5=2\) \(N\text{ếu}\)\(X-5=\left(-2\right)\)
\(X=5+2\) \(X=\left(-2\right)+5\)
\(X=7\) \(X=3\)
a. 37-7.(x+1)=40-8.3
37 - 7(x+1) = 16
7(x+1) = 21
x+1 = 3
x=2
b. (x+5).3=11=10+(3+4).4
(sao có 2 dấu bằng, dấu nào là dấu cộng do viết nhầm ???)
c. 25-5.3+4.10=100-5.x
50 = 100 - 5x
5x = 50
x=10
d. 36+2.(x-7)=12+8.(3+5)-36
36 + 2(x-7) = 40
2(x-7) = 4
x-7 =2
x=9
e. 3.(x+7)-9=11.5-5-8
3(x+7) - 9 = 42
3(x+7) = 51
x+7 = 17
x=10
Bài 1:
a)12,5 x (-5/7) + 1,5 x (-5/7)
=-5/7*(12,5+1,5)
=-5/7*14
=-10
b)(-1/4) x (6|2/11) + 3|9/11 x (-1/4)
=-1/4*(68/11+42/11)
=-1/4*10
=-5/2
c tương tự
d)\(\frac{9^8\cdot4^3}{27^4\cdot6^5}=\frac{\left(3^2\right)^8\cdot\left(2^2\right)^3}{\left(3^3\right)^4\cdot\left(2\cdot3\right)^5}=\frac{3^{16}\cdot2^6}{3^{12}\cdot2^5\cdot3^5}=\frac{3^{16}\cdot2^5\cdot2}{3^{16}\cdot3^1\cdot2^5}=\frac{2}{3}\)
Bài 2:
a)Ta có:
2800=(28)100=256100
8200=(82)100=64100
Vì 256100>64100 =>2800>8200
b)Ta có:
1245=(123)15=172815
Vì 62515<172815 =>62515<1245
\(\dfrac{8}{9}\) : ( 2 - 3 \(\times\) y) = \(\dfrac{5}{3}\)
2 - 3 \(\times\) y = \(\dfrac{8}{9}\) : \(\dfrac{5}{3}\)
2 - 3 \(\times\) y = \(\dfrac{8}{15}\)
3 \(\times\) y = 2 - \(\dfrac{8}{15}\)
3 \(\times\) y = \(\dfrac{22}{15}\)
y = \(\dfrac{22}{15}\) : 3
y = \(\dfrac{22}{45}\)
\(\text{-7129+1478+7129+(-1479)}\)
\(=\text{-7129+7129+1478+(-1479)}\)
\(=0-1=-1\)
\(\text{|-5|.(-7)+4.(-9)}\)
\(=\text{5.(-7)+4.(-9)}\)
\(=\left(-35\right)+\left(-36\right)=-71\)
1) \(x-\left(-\dfrac{3}{2}\right)=\dfrac{1}{4}\)
\(\Rightarrow x+\dfrac{3}{2}=\dfrac{1}{4}\)
\(\Rightarrow x=\dfrac{1}{4}-\dfrac{3}{2}\)
\(\Rightarrow x=-\dfrac{5}{4}\)
2) \(-\dfrac{3}{2}+x=\dfrac{8}{9}\)
\(\Rightarrow x=\dfrac{8}{9}+\dfrac{3}{2}\)
\(\Rightarrow x=\dfrac{43}{18}\)
3) \(\dfrac{4}{5}\cdot x=\dfrac{4}{-7}\)
\(\Rightarrow x=\dfrac{4}{-7}:\dfrac{4}{5}\)
\(\Rightarrow x=\dfrac{4}{-7}\cdot\dfrac{5}{4}\)
\(\Rightarrow x=\dfrac{5}{-7}\)
4) \(x:\dfrac{8}{11}=\dfrac{-11}{3}\)
\(\Rightarrow x=\dfrac{-11}{3}\cdot\dfrac{8}{11}\)
\(\Rightarrow x=\dfrac{-8}{3}\)
5) \(\dfrac{8}{9}:x-\dfrac{2}{3}=1\dfrac{1}{3}\)
\(\Rightarrow\dfrac{8}{9}:x-\dfrac{2}{3}=\dfrac{4}{3}\)
\(\Rightarrow\dfrac{8}{9}:x=\dfrac{4}{3}+\dfrac{2}{3}\)
\(\Rightarrow\dfrac{8}{9}:x=2\)
\(\Rightarrow x=\dfrac{8}{9}:2\)
\(\Rightarrow x=\dfrac{4}{9}\)