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1)111/37<x<91/13
\(\Leftrightarrow\)\(\frac{1443}{481}\)<x<\(\frac{3367}{481}\)
vậy x\(\in\)\(\left\{\frac{1444}{481};......;\frac{3366}{481}\right\}\)
2)-84/14<x<108/9
\(\Leftrightarrow\)\(\frac{-801}{126}\)<x<\(\frac{432}{126}\)
vậy x\(\in\)\(\left\{\frac{-800}{126};.......;\frac{431}{126}\right\}\)
3)\(\frac{-x}{4}\)=\(\frac{-9}{x}\)\(\Rightarrow\)-x.x=(-x)2=4.(-9)=-36
\(\Rightarrow\)(-x)2=-36=(-6)2
vậy -x=6;x=6
Tính bằng cách hợp lý nhất:
\(a)\)\(-64.159+136.\left(-8\right)^2+123.64\)
\(=64.\left(-159\right)+136.64+123.64\)
\(=64.\left(-159+123+136\right)\)
\(=64.100\)
\(=6400\)
\(b)\)\(84.\left(16-37\right)-16.\left(37+84\right)\)
\(=84.16-84.37-16.37-16.84\)
\(=84.\left(16-16\right)-37.\left(84+16\right)\)
\(=84.0-37.100\)
\(=0-3700\)
\(=-3700\)
84:4 + 39 : 37 + 50
= 21 + 32 + 1
= 21 + 9 + 1
= 30 + 1
= 31
`@` `\text {Ans}`
`\downarrow`
`a)`
`84 \div 4 + 3^9 \div 3^7 + 5^0`
`= 21 + 3^2 + 1`
`= 21 + 9 + 1`
`= 30 + 1`
`= 31`
a) ( − 4 ) .13. ( − 250 ) = ( − 4 ) . ( − 250 ) .13 = 1000.13 = 13000
b) ( − 37 ) .84 + 37. ( − 16 ) = ( − 37 ) .84 + ( − 37 ) .16 = ( − 37 ) . ( 84 + 16 ) = ( − 37 ) .100 = − 3700
c) 25. ( − 5 ) .4. ( − 20 ) = 25.4. ( − 5 ) . ( − 20 ) = 100.100 = 10000
d) ( − 48 ) .72 + 36. ( − 304 ) = ( − 48 ) .2.36 + 36. ( − 304 ) = ( − 96 ) .3 + 36. ( − 304 )
b, ( cái (99) là -99 hay +99)
\(c,=\left[\left(-25\right).\left(-4\right)\right].\left[9.\left(-7\right)\right]\\ =100.\left(-63\right)=-6300\\ d,=37.\left(-84\right)+37.\left(-16\right)\\ =37.\left[\left(-84\right)+\left(-16\right)\right]\\ =37.\left(-100\right)=-3700\)
b) (-2).29+(-2).(99)+(-2).(-30)
=1.(-2).29+(-2).(99)+(-2)
=-2. (1+99+30)
=-2.130
=-260
c)(-25).9.(-4).(-7)
=[-25.(-4)].[9.(-7)]
=100.(-63)
=-6300
d) (-37).84+37.(-16)
=(-37+37).[84+(-16)]
=0.[84+(-16)]
=0
\(=84\cdot16-84\cdot37-16\cdot37-16\cdot84=-37\cdot100=-3700\)
84(37-x) = 4
= 84 ( -x + 37 ) = 4
= 84 . -x + 3108 = 4
= 84 . -x = 4 - 3108
= 84 . -x = -3104
= x = -3104 : 84
= x = -3104/84
= x = -776 / 21
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