|x-1/6|-6/16=25%
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I x - 1/6 I - 6/16 = 25%
=> I x - 1/6 I- 6/16 = 1/4
=>I x - 1/6 I = 5/8
\(\Rightarrow\orbr{\begin{cases}x-\frac{1}{6}=\frac{5}{8}\\x-\frac{1}{6}=-\frac{5}{8}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{19}{24}\\x=-\frac{11}{24}\end{cases}}\)
vậy x = 19/24 , x = -11/24
\(\left|x-\frac{1}{6}\right|-\frac{6}{16}=25\%\)
\(\left|x-\frac{1}{6}\right|-\frac{3}{8}=\frac{2}{8}\)
\(\left|x-\frac{1}{6}\right|=\frac{2}{8}+\frac{3}{8}\)
\(\left|x-\frac{1}{6}\right|=\frac{5}{8}\)
=> 2 trường hợp:
1 là \(x-\frac{1}{6}=\frac{5}{8}\)
2 là \(x-\frac{1}{6}=\frac{-5}{8}\)
Trường hợp 1:\(x=\frac{5}{8}+\frac{1}{6}=\frac{19}{24}\)
Trường hợp 2:\(x=\frac{-5}{8}+\frac{1}{6}=\frac{-11}{24}\)
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1/5 giờ = 12 phút
5/6 + 19/25 + 2/12 + 11/16 + 6/25 + 5/16 =
(5/6 + 2/12) + (19/25 + 6/25) + (11/16 + 5/16) =
1 + 1 + 1 = 3
Lời giải:
a. $21-2(x+6)=15$
$2(x+6)=21-15=6$
$x+6=6:2=3$
$x=3-6=-3$
b.
$3^{x+1}=27=3^3$
$\Rightarrow x+1=3$
$\Rightarrow x=2$
c.
$14-x=36$
$x=14-36=-22$
d.
$-3x+25=-2$
$-3x=-2-25=-27$
$x=(-27):(-3)=9$
e.
$37-2(x+6)=29$
$2(x+6)=37-29=8$
$x+6=8:2=4$
$x=4-6=-2$
h.
$2^{x-1}=16=2^4$
$x-1=4$
$x=4+1=5$
a) 450 – ( 25 – 10) = 450 – 15
= 435
450 – 25 – 10 = 425 – 10
= 415
b) 180 : 6 : 2 = 30 : 6
= 15
180 : ( 6 : 2 ) = 180 : 3
= 60
c) 410 – (50 +30) = 410 -80
= 330
410 - 50 + 30 = 360 + 30
= 390
d) 16 x (6 : 3) = 16 x 2
= 32
16 x 6 : 3 = 96 : 3
= 32
\(\dfrac{7}{16}+\dfrac{-1}{8}+\dfrac{9}{32}=\dfrac{14}{32}-\dfrac{4}{32}+\dfrac{9}{32}=\dfrac{19}{32}\)
\(\dfrac{5}{4}-\dfrac{25}{30}\times\dfrac{37}{44}+\dfrac{-25}{30}\times\dfrac{13}{44}+\dfrac{-25}{30}\times\dfrac{-6}{44}\)
\(=-\dfrac{25}{30}\times\left(\dfrac{5}{4}+\dfrac{37}{44}+\dfrac{13}{44}-\dfrac{6}{44}\right)\)
\(=-\dfrac{25}{30}\times\left(\dfrac{55}{44}+\dfrac{37}{44}+\dfrac{13}{44}-\dfrac{6}{44}\right)\)
\(=-\dfrac{25}{30}\times\dfrac{99}{44}\)
\(=-\dfrac{5}{6}\times\dfrac{9}{4}\)
\(=-\dfrac{15}{8}\)
\(\left(\dfrac{7}{16}+\dfrac{-1}{8}+\dfrac{9}{32}\right):\dfrac{5}{4}\)
\(=\left(\dfrac{14}{32}+\dfrac{-4}{32}+\dfrac{9}{32}\right):\dfrac{5}{4}\)
\(=\dfrac{19}{32}:\dfrac{5}{4}\)
\(=\dfrac{19}{32}.\dfrac{4}{5}=\dfrac{19.4}{32.5}=\dfrac{19}{40}\)
\(\dfrac{-25}{30}.\dfrac{37}{44}+\dfrac{-25}{30}.\dfrac{13}{44}+\dfrac{-25}{30}.\dfrac{-6}{44}\)
\(=\dfrac{-25}{30}.\left(\dfrac{37}{44}+\dfrac{13}{44}+\dfrac{-6}{44}\right)\)
\(=\dfrac{-25}{30}.\dfrac{44}{44}=\dfrac{-5}{6}.1=-\dfrac{5}{6}\)
\(y:\dfrac{1}{16}+y:0,25-12\times y:6=41,5\)
\(y\times16-y:\dfrac{1}{4}-\left(12:6\right)\times y=41,5\)
\(y\times16-y\times4-2\times y=41,5\)
\(y\times\left(16-4-2\right)=41,5\)
\(y\times10=41,5\)
\(y=41,5:10\)
\(y=4,15\)
\(x=\frac{19}{24}\)
|x - 1/6| - 6/16 = 25%
=>|x - 1/6| - 6/16 = 1/4
=>|x - 1/6| =5/8
=>Có 2 trường hợp
x-1/6=5/8 =>x=5/8 + 1/6=19/24
x-1/6=-5/8 =>x=-5/8 +1/6=-11/24
Vậy x có 2 giá trị thõa mãn là 19/24 và -11/24
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