a,= 32.(11+67) +78.68

      32.78+78.68

      78.(32+68)

      78.100

      = 7800

b,76.(41-20)+21.24

   =76.21+21.24

   =21.(76+24)

   =21.100

   =2100

28 x 76 + 24 x 28 - 28 x 20

= 28 x (76 + 24 - 20)

= 28 x 80

= 2240

\(24\cdot76+48\cdot12-20\cdot100=24\cdot76+24\cdot2\cdot12-20\cdot100\)

                                                     \(=24\cdot\left(76+2+12\right)-20\cdot100\)

                                                     \(=24\cdot100-20\cdot100\)

                                                     \(=\left(24-20\right)\cdot100\)

                                                     \(=4\cdot100=400\)

Cảm ơn bạn nhiều nha

24 x 76  + 48 x 12 - 20 x 100

= 12 x 2 x 76 + 48 x 12 - 20 x 100

= 24 x ( 76 + 48 + 12 ) - 20 x 100

= 24 x 100 - 20 x 100

= ( 24 - 20 ) x 100

= 4 x 100

= 400

a) Ta có:

\(\begin{array}{l}\frac{x}{3} = \frac{y}{4} \Rightarrow \frac{x}{3}.\frac{1}{5} = \frac{y}{4}.\frac{1}{5} \Rightarrow \frac{x}{{15}} = \frac{y}{{20}};\\\frac{y}{5} = \frac{z}{6} \Rightarrow \frac{y}{5}.\frac{1}{4} = \frac{z}{6}.\frac{1}{4} \Rightarrow \frac{y}{{20}} = \frac{z}{{24}}\end{array}\)

Vậy  \(\frac{x}{{15}} = \frac{y}{{20}} = \frac{z}{{24}}\) (đpcm)

b) Áp dụng tính chất của dãy tỉ số bằng nhau, ta có:

\(\frac{x}{{15}} = \frac{y}{{20}} = \frac{z}{{24}} = \frac{{x - y + z}}{{15 - 20 + 24}} = \frac{{ - 76}}{{19}} =  - 4\)

Vậy x = 15 . (-4) = -60; y = 20. (-4) = -80; z = 24 . (-4) = -96

`a) x - 24/8 = 8`

    `x           = 8 + 24/8`

    `x           = 11`

`b) 76/18 - x × 17/3 = 4/9`

                `x × 17/3 = 76/18 - 4/9`

                `x × 17/3 = 34/9`

                `x            = 34/9 : 17/3`

                `x            = 2/3`

a, X = 8 + 24/8

X = 11

b, X x 17/3 = 76/18 - 4/9

X x 17/3 = 34/9

X = 34/9 : 17/3

X = 2/3

a) \(24\times y+76\times y=100\)
\(\Rightarrow\left(24+76\right)\times y=100\)
\(\Rightarrow100\times y=100\)
\(\Rightarrow y=100:100\)
\(\Rightarrow y=1\)
b) \(125\times y-100\times y=1000\)
\(\Rightarrow\left(125-100\right)\times y=1000\)
\(\Rightarrow25\times y=1000\)
\(\Rightarrow y=1000:25\)
\(\Rightarrow y=40\)

a)\(=>y=1000:\left(24+76\right)=1000:100=10\)

b(\(=>y=1000:\left(125-100\right)=1000:25=40\)

Giải cho bạn 2 bài tìm x nhé! Bài kia dễ,tự giải

a) \(3^{x+2}-3^x=8.243\Leftrightarrow3^x.3^2-3^x=1944\)

\(\Leftrightarrow3^x\left(3^2-1\right)=1944\Leftrightarrow3^x.8=1944\)

\(\Leftrightarrow3^x=243=3^5\Leftrightarrow x=5\)

b) \(1+2+3+...+x=210\)

\(\Leftrightarrow\frac{x\left(x+1\right)}{2}=210\Leftrightarrow x\left(x+1\right)=420\)

\(\Leftrightarrow20\left(20+1\right)=420\Rightarrow x=20\)

thank ^ - ^

Bạn giải câu 3 ^x+2 - 3^x = 8.243 mk mới để ý vẫn còn cách giải nữa = 3 =

a, 25+35+76+65+22
=(65+35)+(76+22)+25
=100+100+25
=225
c , 78-23-25
=78-(23+25)
=78-48
=30
a , x-45=20 
x=20+45
x=65
b , 45 - x=20
     x =45-20
     x= 25

Bài 2: 

a: Ta có: x-45=20

nên x=65

b: Ta có: 45-x=20

nên x=25

Bài 1: 

\(101\cdot125+101\cdot25-101\cdot50\)

\(=101\cdot\left(125+25-50\right)\)

\(=101\cdot100\)

\(=10100\)

Bài 2: 

\(76\cdot115+56\cdot24+59\cdot24\)
\(=76\cdot115+24\cdot\left(56+59\right)\)

\(=76\cdot115+24\cdot115\)

\(=115\cdot\left(76+24\right)\)

\(=115\cdot100\)

\(=11500\)

5:

a: =>15x=165

=>x=11

b: =>x(x+1)/2=55

=>x^2+x=110

=>x=10

4: =>7x=56

=>x=8

Bài 1:

101•125+101•25+101•50

= 101•(125+25-50)

=101•100

=10100

Bài 2:

76•115+56•24+59•24

= 76•115+24•(56+59)

= 76•115+24•115

= 115•(76+24)

= 115•100

= 11500