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a) \(15-5\left|x+4\right|=-12-3\)
\(\Leftrightarrow5\left|x+4\right|=30\)
\(\Leftrightarrow\left|x+4\right|=6\)
\(\Leftrightarrow\orbr{\begin{cases}x+4=6\\x+4=-6\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=2\\x=-10\end{cases}}\)
b) \(\left(4x-8\right)\left(7-x\right)=0\Leftrightarrow\orbr{\begin{cases}4x-8=0\\7-x=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=2\\x=7\end{cases}}\)
c) \(\left(x^2-36\right)\left(x^2+5\right)=0\Rightarrow\left(x-6\right)\left(x+6\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-6=0\\x+6=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=6\\x=-6\end{cases}}\)
d) \(-3\left(x+7\right)-11=2\left(x+5\right)\)
\(\Leftrightarrow-3x-32=2x+10\)
\(\Leftrightarrow5x=-42\Rightarrow x=-\frac{42}{5}\)
a.7,2 :2 x 58,6 + 2,93 x 2 x 64
= 3,6 x 58,6 + 5,86 x 64
=210,96 + 357,04
=586
b.\(4\frac{2}{5}+2\frac{3}{7}-2\frac{2}{5}+5\frac{4}{7}\)
=\(\left(4\frac{2}{5}-2\frac{2}{5}\right)+\left(2\frac{3}{7}+5\frac{4}{7}\right)\)
= 2 + 8
= 10
c. 2 x 41 x 36 + 8 x 9 x 58 + 12 x 6
=72 x 41 + 72 x 58 + 72 x 1
=72 x ( 41 + 58 +1 )
=72 x 100
=7200
d, \(\frac{3}{5}\)x \(\frac{1}{2}\):\(\frac{2}{5}\)
=\(\frac{3}{5}\)x \(\frac{1}{2}\)x\(\frac{5}{2}\)
=\(\frac{3}{4}\)
a \(\dfrac{5}{12}\times\dfrac{4}{9}\) + \(\dfrac{4}{9}\times\dfrac{7}{12}\)
= \(\dfrac{4}{9}\times\left(\dfrac{5}{12}+\dfrac{7}{12}\right)\)
= \(\dfrac{4}{9}\times\dfrac{12}{12}\)
= \(\dfrac{4}{9}\)
b(\(\dfrac{13}{21}\times\dfrac{7}{8}-\dfrac{12}{21}\times\dfrac{7}{8}\)) x 12
(\(\dfrac{7}{8}\times\left(\dfrac{13}{21}-\dfrac{12}{21}\right)\))x 12
\(\dfrac{7}{8}\times\dfrac{1}{21}\) x 12
\(\dfrac{139}{14}\)
\(\dfrac{7}{11}+\dfrac{3}{4}+\dfrac{4}{11}+\dfrac{8}{17}+\dfrac{1}{4}+\dfrac{18}{34}\)
=\(\left(\dfrac{7}{11}+\dfrac{4}{11}\right)+\left(\dfrac{3}{4}+\dfrac{1}{4}\right)\) + \(\dfrac{18}{34}\)
=1 + 1 + \(\dfrac{18}{34}\)
=\(\dfrac{34}{17}\)
a.2436 :x = 12
x = 2436 : 12
x = 203
b. 6x - 5 = 613
6x = 613 + 5
6x = 618
x = 618 : 6
x = 13
c.( x - 47 ) - 115 = 7
x - 47 = 7 + 115
x - 47 = 122
x = 122 + 47
x =169
d . 315 + (146 - x ) =401
146 - x = 401 - 315
146 - x = 86
x = 146 - 86
x = 60
e.( x - 36 ) : 18 = 12
x - 36 = 12 x 18
x - 36 = 216
x = 216 + 36
x = 252
a , 2 436 : x = 12
x = 2 436 : 12
x = 203
b , 6x - 5 = 613
6x = 618
x = 103
c , ( x - 47 ) - 115 = 7
x - 47 = 122
x = 169
d , 315 + ( 146 - x ) = 401
146 - x = 401 - 315
146 - x = 86
x = 146 - 86
x = 60
e , ( x - 36 ) : 18 = 12
x - 36 = 216
x = 216 + 36
x = 252
\(=\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{9}+...+\dfrac{1}{145}-\dfrac{1}{147}\)
\(=\dfrac{1}{5}-\dfrac{1}{147}=\dfrac{142}{735}\)
a: x/147=5/7
=>x=147*5/7=105
b: x-2/36=7/12
=>x-2/36=21/36
=>x=21/36+2/36=23/36