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a. 23 . ( 42 - x ) = 46
42 - x = 46 : 23
42 - x = 2
x = 42 - 2
x = 40
b. 7x - 8 = 41
7x = 41 + 8
7x = 49
x = 49 : 7
x = 7
c. 125 - 5(x + 3) = 15
5(x + 3) = 125 - 15
5(x + 3) = 110
x + 3 = 110 : 5
x + 3 = 22
x = 22 - 3
x = 19
a) 23 . ( 42 - x) = 46 => 42 - x = 46 : 23 = 2
=> x = 42 - 2 = 40
b) 7x - 8 = 41 => 7x = 41 + 8 = 49 => x = 49 : 7 = 7
c) 125 - 5.(x+3) = 15 => 5.(x+3) = 125 - 15 = 110 => x + 3 = 110 : 5 =22
=> x = 22 - 3 = 19
\(\frac{12.23+23.88}{46.3+46.14}\)
\(=\frac{23.\left(12+88\right)}{46.\left(3+14\right)}\)
\(=\frac{23.100}{46.17}\)
\(=\frac{23.2.50}{23.2.17}\)
\(=\frac{50}{17}\)
\(\frac{12x23+23x88}{46x3+46x14}\)
=\(\frac{23x\left(12+88\right)}{46x\left(14+3\right)}\)
=\(\frac{23x100}{46x17}\)
= \(\frac{50}{17}\)
a, 46*42+46*5+23*2*10+46*42+46=46*(42+5+10+42+1)=46*100=4600
b,5/3*1/9+5/3*5/9+5/3*7/9-5/3*4/9=5/3*(1/9+5/9+7/9-4/9)=5/3*1=5/3
a) 46 x 42 + 46 x 5 + 23 x 2 x 10 + 46 x 42 + 46
= 46 x 42 + 46 x 5 + 46 x 10 + 46 x 42 + 46
= 46 x (42 + 5 + 10 + 42 + 1)
= 46 x 100
= 4600
b) \(\frac{5}{3}\times\frac{1}{9}+\frac{5}{3}\times\frac{5}{9}+\frac{5}{3}\times\frac{7}{9}-\frac{5}{3}\times\frac{4}{9}\)
\(=\frac{5}{3}\times\left(\frac{1}{9}+\frac{5}{9}+\frac{7}{9}-\frac{4}{9}\right)\)
\(=\frac{5}{3}\times1\)
\(=\frac{5}{3}\)
23 x 45 + 46 x 23 + 23 x 8 + 23
= 23 x 45 + 46 x 23 + 23 x 8 + 23 x 1
= 23 x (45 + 46 + 8 + 1)
= 23 x 100
= 2300
Bài 2:
a, \(\dfrac{5}{23}\) \(\times\) \(\dfrac{17}{26}\) + \(\dfrac{5}{23}\) \(\times\) \(\dfrac{9}{26}\)
= \(\dfrac{5}{23}\) \(\times\) ( \(\dfrac{17}{26}\) + \(\dfrac{9}{26}\))
= \(\dfrac{5}{23}\) \(\times\) \(\dfrac{26}{26}\)
= \(\dfrac{5}{23}\)
b, \(\dfrac{3}{4}\) \(\times\) \(\dfrac{7}{9}\) + \(\dfrac{7}{4}\) \(\times\) \(\dfrac{3}{9}\)
= \(\dfrac{7}{12}\) + \(\dfrac{7}{12}\)
= \(\dfrac{14}{12}\)
= \(\dfrac{7}{6}\)
\(\frac{34}{11}\cdot\frac{27}{46}\cdot\frac{23}{17}\cdot\frac{22}{9}\)
\(=\frac{34\cdot27\cdot23\cdot22}{11\cdot46\cdot17\cdot9}\)
\(=\frac{2\cdot17\cdot3\cdot3\cdot3\cdot23\cdot2\cdot11}{11\cdot2\cdot23\cdot17\cdot3\cdot3}\)
\(=\frac{3\cdot2}{1}\)
\(=6\)
=))
23 : (42 - x) = 46
=> 42 - x = 1/2
=> x = 83/2
23 : (42 - x) = 46
42 - x = 23 : 46
42 - x = 0,5
x = 42 - 0,5
x = 41,5