0,16 : ( x : 3,5) = 2,8

x : 3,5 = 0,16 : 2,8

x  =  0,16 : 2,8 x 3,5

x  =  0,2

Thử lại: 0,16 : (0,2 : 3,5) = 2,8 (đúng)

a) \(|2x|.|3.5|=|-2.8|\)

\(\Rightarrow|2x|.|15|=|-16|\)

\(\Rightarrow|2x|.15=16\)

\(\Rightarrow|2x|=\dfrac{16}{15}\)

Ta có hai trường hợp:

1) \(2x\ge0\)

\(\Rightarrow|2x|=2x=\dfrac{16}{15}\Rightarrow x=\dfrac{8}{15}\)

2) \(2x< 0\)

\(\Rightarrow|2x|=-2x=\dfrac{16}{15}\Rightarrow-x=\dfrac{8}{15}\Rightarrow x=-\dfrac{8}{15}\)

Vậy \(x=\dfrac{8}{15}\) hoặc \(x=-\dfrac{8}{15}\).

b) \(|x-\dfrac{1}{2}|+|x+y|=0\)

\(\Rightarrow\left\{{}\begin{matrix}x-\dfrac{1}{2}=0\\x+y=0\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}x=\dfrac{1}{2}\\y=-\dfrac{1}{2}\end{matrix}\right.\)

Vậy \(\left\{{}\begin{matrix}x=\dfrac{1}{2}\\y=-\dfrac{1}{2}\end{matrix}\right.\)

1. 

\(A\le0,5\)

Dấu "=" xảy ra khi x-3,5 = 0

       <=> x = 3,5

Vậy max A = 0,5 khi x = 3,5

\(B\le-2\)

Dấu "=" xảy ra khi 1,4 -x =0

      <=> x = 1,4

Vậy  max B = -2 khi x =1,4

1. 

A nhỏ hơn hoặc bằng 0,5 suy ra GTLN của A là 0,5.

B sẽ nhơ hơn hoặc bằng 2 suy ra GTLN 

\(1,A=0,5-\left|x-3,5\right|\)

Có \(\left|x-3,5\right|\ge0\)

\(\Rightarrow A\le0,5+0=0,5\)

Dấu "=" xảy ra khi \(\left|x-3,5\right|=0\Leftrightarrow x=3,5\)

Vậy \(A_{max}=0,5\Leftrightarrow x=3,5\)

\(B=-\left|1,4-x\right|-2\)

Có \(-\left|1,4-x\right|\le0\)

\(\Rightarrow B\le0-2=-2\)

Dấu "=" xảy ra khi \(1,4-x=0\Leftrightarrow x=1,4\)

Vậy \(B_{max}=-2\Leftrightarrow x=1,4\)

\(2,C=1,7+\left|3,4-x\right|\)

Có \(\left|3,4-x\right|\ge0\)

\(\Rightarrow C\ge1,7+0=1,7\)

Dấu "=" xảy ra khi \(3,4-x=0\Leftrightarrow x=3,4\)

Vậy \(C_{min}=1,7\Leftrightarrow x=3,4\)

\(D=\left|x+2,8\right|-3,5\)

Có \(\left|x+2,8\right|\ge0\)

\(\Rightarrow D\ge0-3,5=-3,5\)

Dấu "=" xảy ra khi \(x+2,8=0\Leftrightarrow x=-2,8\)

Vậy \(D_{min}=-3,5\Leftrightarrow x=-2,8\)

a/\(240\times20-\left(846+202\times2,5\right)\)
\(=4800-\left(846+505\right)\)
\(=4800-1351\)
\(=3449\)
b/\(2000+\left(32,4:3-2,8\right)\)
\(=2000+\left(10,8-2,8\right)\)
\(=2000+8\)
\(=2008\)
c/\(320\times1,25-\left(933+302\times3,5\right)\)
\(=400-\left(933+1057\right)\)
\(=400-1990\)
\(=-1590\)

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a) 6,3 + (-3,7) + 2,4 + (-0,3)

= (6,3 + 2,4) + [-3,7 + (-0,3)]

= 8,7 + (-4)

=  4,7

b) (-4,9) + 5,5 + 4,9 + (-5,5)

= (-4,9 + 4,9) + [5,5 + (-5,5)]

= 0 + 0

= 0

c) 2,9 + 3,7 + (-4,2) + (-2,9) + 4,2

= [2,9 + (-2,9)] + (-4,2 + 4,2) + 3,7

= 0 + 0 + 3,7

= 3,7

d) (-6,5) . 2,8 + 2,8 . (-3,5)

= 2,8 . [-6,5 + (-3,5)]

= 2,8 . (-10)

= -28.

\(A=1,7+\left|3,4-x\right|\)

\(C\text{ó};\left|3,4-x\right|\)lớn hơn or =0

\(\Rightarrow\)\(1,7+\left|3,4-x\right|=1,7+0\)

\(\Rightarrow1,7+\left|3,4-x\right|=1,7\)

\(\Rightarrow\left|3,4-x\right|=0\)

\(\Rightarrow x=3,4\)

\(B=\left|x+2,8\right|-3,5\)

\(C\text{ó}:\left|x+2,8\right|\)Lớn hơn or = 0

\(\Rightarrow\left|x+2,8\right|-3,5=0-3,5\)

\(\Rightarrow\left|x+2,8\right|-3,5=-3,5\)

\(\Rightarrow\left|x+2,8\right|=0\)

\(\Rightarrow x=-2,8\)

\(C=\left|4,3-x\right|+3,7\)

\(C\text{ó}:\left|4,3-x\right|\) Lớn hơn or = 0

\(\Rightarrow\left|4,3-x\right|+3,7=0+3,7\)

\(\Rightarrow\left|4,3-x\right|+3,7=3,7\)

\(\Rightarrow\left|4,3-x\right|=0\)

\(\Rightarrow x=4,3\)