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a) − 2 5 + 1 6 + − 1 5 ≤ x < − 3 4 + 9 7 + − 1 4 + 5 7 ⇔ − 13 30 ≤ x ≤ 1 ⇔ x ∈ 0 ; 1
b) 5 17 + − 4 9 + 12 17 < x ≤ − 3 7 + 7 15 + 4 − 7 + 8 15 + 9 3 ⇔ 5 9 < x ≤ 3 ⇔ x ∈ 1 ; 2 ; 3
2/5.3x-1/2-1/4=1/5
=>2/5.3x-1/4=1/5
=>2/5.3x=1/5+1/4
=>2/5.3x=9/20
=>3.x=9/20:2/5
=>3.x=9/8
=>x=9/8:3
=>x=3/8
vay x=3/8
2/5.3x-1/2-1/4 = 1/5
=> 2/5.3x = 1/5+1/4+1/2
2/5.3x = 19/20
3x = (19/20):(2/5)
3x = 19/8
x = (19/8):3
x = 19/24
a)48.45+55.48=(45+55).48=100.48=4800
b)57.37+57.23+57.40=57.(23+37+40)=57.100=5700
c)25.5.4.17.2=(25.4).(5.17.2)=100.170=17000
d)127.45+55.127-27.100=127.(45+55)-(27.100)=127.100-27.100=(127-27).100=100.100=10000
e)543+165+457+35=(543+457)+(165+35)=1000+200=1200
g)13.58.4+32.6.2+52.10=(52.58)+(52.32)+52.10=52.(58+32+10)=52.100=5200
h)25.5.4.17.2=(25.4).(17.2.5)=100.170=17000
k)(3737.43-4343.37):(2+4+6+...+100)=(37.101.43-43.101.37):(2+4+6+...+100)=0.(2+4+6+...+100)=0
i)1+5+9+...+29+33+37=(1+37)+(5+33)+...=190
a=4800
b=5700
c=17000
d=10000
e=1200
...
phần còn lại bạn tự làm nhé
4. ( x - 250 ) : 6 = 64 - 12
( x- 250 ) : 6 = 52
x - 250 = 312
x = 562
5. 10x = 1030
=> x = 103
6. 30x = 120
x = 4
7. \(x=2023\)
\(8.165-\left(35:x+3\right).19=13\)
\(\left(35:x+3\right).19=152\)
\(35:x+3=8\)
\(35:x=5\)
\(x=7\)
4) \(\left(x-250\right)\div6=4^3-2^2\times3\)
\(\left(x-250\right)\div6=64-4\times3\)
\(\left(x-250\right)\div6=64-12=52\)
\(x-250=52\times6=312\)
\(x=312+250\)
\(x=562\)
5) \(2x+3x+5x=1030\)
\(x\left(2+3+5\right)=1030\)
\(10x=1030\)
\(x=1030\div10\)
\(x=103\)
6) \(15x-35x+50x=120\)
\(x\left(15-35+50\right)=120\)
\(30x=120\)
\(x=120\div30\)
\(x=4\)
7) \(\dfrac{1}{2}x+\dfrac{1}{6}x+\dfrac{1}{3}x=2023\)
\(x\left(\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{6}\right)=2023\)
\(x\times1=2023\)
\(x=2023\)
8) \(165-\left(35\div x+3\right)\times19=13\)
\(\left(35\div x+3\right)\times19=165-13\)
\(\left(35\div x+3\right)\times19=152\)
\(35\div x+3=152\div19=8\)
\(35\div x=8-3=5\)
\(x=35\div5\)
\(x=7\)
Bài 1:
1: =15+37+52-37-17=52-2=50
2: =38-42+14-25+27+15=62-42+29=20+29=49
Bài 1: Bỏ ngoặc rồi tính
3) (21-32) - (-12+32)=21-32-(-12)-32=21-32+12-32=-31
4) (12+21) - (23-21+10)=12+21-23+21-10=21
5) (57-725) - (605-53)=57-725-605+53=-1220
6) (55+45+15) - (15-55+45)=55+45+15-15+55-45=55+55=110
Bài 2: Tính các tổng sau một cách hợp lí
1) (-37) + 14 + 26 + 37=(-37+37)+(14+26)=0+40=40
2) (-24) +6 + 10 + 24=(-24+24)+(6+10)=0+16=16
3) 15 + 23 + (-25) + (-23)=(15-25)+(23-23)=-10+0=-10
4) 60 + 33 + (-50) + (-33)=(60-50)+(33-33)=10+0=10
5) (-16) + (-209) + (-14) + 209=(-16-14)+(-209+209)=-30+0=-30
6) (-12) + (-13) + 36 + (-11)=(-11-12-13)+36=-36+36=0
\(5\cdot3^{x+6}=2\cdot3^5+3\cdot3^5\)
=>\(5\cdot3^{x+6}=5\cdot3^5\)
=>\(3^{x+6}=3^5\)
=>x+6=5
=>x=5-6=-1
Sửa đề: \(9^x=5\cdot9^7+4\cdot9^7\)
=>\(9^x=9^7\left(5+4\right)=9^8\)
=>x=8
\(37+5\cdot2^{x+1}=57\)
=>\(5\cdot2^{x+1}=57-37=20\)
=>\(2^{x+1}=\dfrac{20}{5}=4=2^2\)
=>x+1=2
=>x=2-1=1