(3x+1).9-74=16

(3x+1).9=16+74

(3x+1).9=90

(3x+1)=90/9

3x+1=10

3x=9

x=3

Chiều cao miếng bìa là:

(56+8):2=32(cm)

Độ dài đáy miếng bìa là:

32-8=24(cm)

Diện tích miếng bìa là:

(32x24):2=384(cm²)

đáp số: 384 cm²

Chiều cao miếng bìa là :

( 56 + 8 ) : 2 = 32 ( cm )

Độ dài đáy miếng bìa là :

32 - 8 = 24 ( cm )

Diện tích miếng bài là :

( 32 x 24 ) : 2 = 384 ( cm² )

Đáp số : 384 cm²

@ChiDung

\(\overline{abcdef}=100x\overline{abcd}+ef=98x\overline{abcd}+2x\overline{abcd}+\overline{ef}⋮7\)

\(98x\overline{abcd}⋮7\Rightarrow2x\overline{abcd}+\overline{ef}⋮7\)

\(\overline{efabcd}=10000x\overline{ef}+\overline{abcd}=9996x\overline{ef}+4x\overline{ef}+\overline{abcd}\)

Ta có

\(2x\left(4x\overline{ef}+\overline{abcd}\right)=8x\overline{ef}+2x\overline{abcd}=7x\overline{ef}+\left(2x\overline{abcd}+\overline{ef}\right)\)

Ta thấy

\(7x\overline{ef}⋮7\)

\(2x\overline{abcd}+\overline{ef}⋮7\left(cmt\right)\)

\(\Rightarrow2x\left(4x\overline{ef}+\overline{abcd}\right)⋮7\Rightarrow4x\overline{ef}+\overline{abcd}⋮7\)

Ta thấy

\(9996x\overline{ef}⋮7;4x\overline{ef}+\overline{abcd}⋮7\Rightarrow\overline{efabcd}⋮7\)

\(\left(\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+...+\dfrac{1}{90}\right)\left(x-\dfrac{1}{2}\right)=\dfrac{3}{5}:\dfrac{2}{3}\)

=>\(\left(1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+...+\dfrac{1}{9}-\dfrac{1}{10}\right)\left(x-\dfrac{1}{2}\right)=\dfrac{3}{5}\cdot\dfrac{3}{2}=\dfrac{9}{10}\)

=>\(\dfrac{9}{10}\left(x-\dfrac{1}{2}\right)=\dfrac{9}{10}\)

=>\(x-\dfrac{1}{2}=1\)

=>\(x=1+\dfrac{1}{2}=\dfrac{3}{2}\)

\(3^x+25=26\times2^0+2\times3^0\)

\(3^x+25=26\times1+2\times1\)

\(3^x+25=28\)

\(3^x=28-25\)

\(3^x=3\)

\(x=1\)

3^x + 25 = 26 . 2⁰ + 2 . 3⁰
3^x + 25 = 26 . 1 + 2 . 1
3^x + 25 = 28
3^x = 3
x = 1

\(\overline{abccba}=100001xa+10010xb+1100xc=\)

\(=11x9091xa+11x910xb+11x100xc=\)

\(=11x\left(9091xa+910xb+100xc\right)⋮11\)

\(y:\dfrac{1}{16}-y:0,25-12\cdot y:6=41,5\)

=>\(16y-4y-2y=41,5\)

=>10y=41,5

=>\(y=\dfrac{41.5}{10}=4,15\)

Ta thấy

\(x+23⋮31\)

\(x+8⋮15\Rightarrow\left(x+8\right)+15=x+23⋮15\)

\(\Rightarrow\left(x+23\right)=BC\left(15;31\right)\) x nhỏ nhất khi \(x+23=BCNN\left(15;31\right)\)

\(\Rightarrow BCNN\left(15;31\right)=15x31=465\)

\(\Rightarrow x+23=465\Rightarrow x=442\)

`8 . 2^(x - 5) = 16^7`

`=> 2^3  . 2^(x - 5) = (2^4)^7`

`=> 2^(3 + x - 5) = 2^28`

`=> x - 2 = 28`

`=> x=28+2`

`=>x=30`

Vậy: `x=30`

\(8\cdot2^{x-5}=16^7\)

=>\(2^3\cdot2^{x-5}=2^{28}\)

=>\(2^{x-2}=2^{28}\)

=>x-2=28

=>x=2+28=30