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A = 8 . 12 . 32 + 4 . 27 . 24 + 41 .4 . 16
A = 96 . 32 + 96 . 27 + 41 . 4 . 16
A = 96 ( 32 + 27 ) +41 . 4 . 16
A = 96 . 59 + 41 . 64
A = 32 . 3 . 59 + 41 . 32 . 2
A = 32 ( 3 + 59 + 41 + 2 )
A = 32 . 105
A = 3360
2,
a) \(315-\left(135-x\right)=215\)
\(\Rightarrow135-x=315-215\)
\(\Rightarrow135-x=100\)
\(\Rightarrow x=135-100\)
\(\Rightarrow x=35\)
b) \(x-320:32=25\cdot16\)
\(\Rightarrow x-10=5^2\cdot4^2\)
\(\Rightarrow x-10=20^2\)
\(\Rightarrow x-10=400\)
\(\Rightarrow x=410\)
c) \(3\cdot x-2018:2=23\)
\(=3\cdot x-1009=23\)
\(\Rightarrow3\cdot x=1032\)
\(\Rightarrow x=1032:3\)
\(\Rightarrow x=344\)
d) \(280-9\cdot x-x=80\)
\(\Rightarrow280-x\cdot\left(9+1\right)=80\)
\(\Rightarrow280-10\cdot x=80\)
\(\Rightarrow10\cdot x=280-80\)
\(\Rightarrow10\cdot x=200\)
\(\Rightarrow x=20\)
e) \(38\cdot x-12\cdot x-x\cdot16=40\)
\(\Rightarrow x\cdot\left(38-12-16\right)=40\)
\(\Rightarrow x\cdot10=40\)
\(\Rightarrow x=40:10\)
\(\Rightarrow x=4\)
g) (15 + 37) + (52 – 37 – 17) = 15 + 37 + 52 – 37 – 17 = 15 + 52 – 17 = 50 h) (38 – 42 +14) - (38 – 42 - 15) = 38 – 42 +14 - 38 + 42 + 15 = 14 + 15 = 29 i) (27 + 65 ) + (346 - 27- 65) = 27 + 65 + 346 - 27- 65 = 346 k) - (27 + 65) - (346 – 27 - 65) = -27 - 65 - 346 + 27 + 65 = -346 l) (42 – 69 + 17) - (42 + 17) = 42 – 69 + 17 - 42 - 17 = – 69 m) 24. (16 - 5) – 16. (24 – 5 ) = 24. 16 - 24 . 5 - 16 . 24 + 16. 5 = - 24 . 5 + 16. 5 = -8 . 5 = -40 n) (-12). 47 – 12 . 52 + (-12) = -12 (47 - 52 + 1) = -12 . (-4) = 48 p) 51 . (69 - 25) – 69. (51 - 25) = 51 . 69 - 51 . 25 – 69. 51 + 69. 25 = - 51 . 25 + 69. 25 = (- 51+ 69).25 = 450 |
\(\frac{9}{27}+\frac{8}{24}+\frac{18}{27}+\frac{16}{24}+\frac{2}{3}\)
=\(\frac{1}{3}+\frac{1}{3}+\frac{2}{3}+\frac{2}{3}+\frac{2}{3}\)
\(=\frac{8}{3}\)
\(\frac{9}{27}+\frac{8}{24}+\frac{18}{27}-\frac{-16}{24}+\frac{2}{3}\)
\(=\frac{9}{27}+\frac{8}{24}+\frac{18}{27}+\frac{16}{24}+\frac{2}{3}\)
\(=\frac{1}{3}+\frac{1}{3}+\frac{2}{3}+\frac{2}{3}+\frac{2}{3}\)
\(=\left[\frac{1}{3}+\frac{2}{3}\right]+\left[\frac{1}{3}+\frac{2}{3}\right]+\frac{2}{3}\)
\(=1+1+\frac{2}{3}=2+\frac{2}{3}=\frac{8}{3}\)
Bài 1 bạn tự là nhé dễ lắm :))
Bài 2 :
Ta có :
\(4x-15=-75-x\)
\(\Leftrightarrow\)\(4x+x=-75+15\)
\(\Leftrightarrow\)\(5x=-60\)
\(\Leftrightarrow\)\(x=\frac{-60}{5}\)
\(\Leftrightarrow\)\(x=-12\)
Bài 3 :
Ta có :
\(12⋮\left(x-3\right)\)\(\Rightarrow\)\(\left(x-3\right)\inƯ\left(12\right)\)
Mà \(Ư\left(12\right)=\left\{1;-1;2;-2;3;-3;4;-4;6;-6;12;-12\right\}\)
Suy ra : ( lập bảng )
\(x-3\) | \(1\) | \(-1\) | \(2\) | \(-2\) | \(3\) | \(-3\) | \(4\) | \(-4\) | \(6\) | \(-6\) | \(12\) | \(-12\) |
\(x\) | \(4\) | \(2\) | \(5\) | \(1\) | \(6\) | \(0\) | \(7\) | \(-1\) | \(9\) | \(-3\) | \(15\) | \(-9\) |
Vậy \(x\in\left\{4;2;5;1;6;0;7;-1;9;-3;15;-9\right\}\)
Chúc bạn học tốt
\(\Leftrightarrow2^x=2^4.2^7.2^4=2^{15}\Leftrightarrow x=15\)
Lời giải:
$24:27=-16:x$
$-16:x=\frac{8}{9}$
$x=-16: \frac{8}{9}=\frac{-16\times 9}{8}=-18$
Ta có:
24 : 27 = - 16 : x
- 16 : x = 24 : 27
- 16 : x = 24/ 27
- 16/ x = 24/ 27
- 16/ x = 8/ 9
- 16/ x = 16/ 18
=> x = 18