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\(35\cdot34+70\cdot38+65\cdot75+65\cdot35\)
\(=35\cdot34+35\cdot76+65\cdot\left(75+35\right)\)
\(=35\cdot\left(34+76\right)+65\cdot110\)
\(=35\cdot110+65\cdot110\)
\(=110\cdot\left(65+35\right)\)
\(=110\cdot100=11000\)
Ta có :
\(\frac{x-1}{27}+\frac{x-2}{26}+\frac{x-3}{25}+\frac{x-4}{24}=4\)
\(\Leftrightarrow\)\(\left(\frac{x-1}{27}-1\right)+\left(\frac{x-2}{26}-1\right)+\left(\frac{x-3}{25}-1\right)+\left(\frac{x-4}{24}-1\right)=4-4\) ( trừ 2 vế cho 4 )
\(\Leftrightarrow\)\(\frac{x-28}{27}+\frac{x-28}{26}+\frac{x-28}{25}+\frac{x-28}{24}=0\)
\(\Leftrightarrow\)\(\left(x-28\right)\left(\frac{1}{27}+\frac{1}{26}+\frac{1}{25}+\frac{1}{24}\right)=0\)
Vì \(\frac{1}{27}+\frac{1}{26}+\frac{1}{25}+\frac{1}{24}\ne0\)
Nên \(x-28=0\)
\(\Rightarrow\)\(x=28\)
Vậy \(x=28\)
Chúc bạn học tốt ~
\(x-\frac{1}{27}+x-\frac{2}{26}+x-\frac{3}{25}+x-\frac{4}{24}=4\)
\(\left(x+x+x+x\right)-\left(\frac{1}{27}+\frac{2}{26}+\frac{3}{25}+\frac{4}{24}\right)=4\)
\(4x-\frac{7031}{17550}=4\)
\(4x=4+\frac{7031}{17550}\)
\(x=\frac{4+\frac{7031}{17550}}{4}=1+\frac{\frac{7031}{17550}}{4}\)
\(x=1+\frac{7031}{70200}\)
.........................................................................................
1) (-37) + 14 + 26 + 37
= [(-37) + 37] + 14 + 26
= 0 + 40
= 40
2) (-24) + 6 + 10 + 24
= [(-24) + 24] + 6 + 10
= 0 + 16
= 16
3) 15 + 23 + (-25) + (-23)
= 15 + (-25) + [(-23) + 23]
= -10 + 0
= -10
4) 60 + 33 + (-50) + (-33)
= 60 + (-50) + [(-33) + 33]
= 10 + 0
= 10
a,(-15)-23+(-85)-77=[(-15)+(-85)]-(23+77)=(-100)-100=-200
b,(-24) + 4 + (-6) + 26 =[(-24)+(-6)]+(4+26)=(-30)+30=0
c, 34 + 35 + 36 + 37 - 14 - 15 - 16 - 17 =(34-14)+(35-15)+(36-16)+(37-17)=20+20+20+20=80
3.42+(57:56)-(2.24)
=3.42+57-6-24+1
=3.42+51-25
=(3.42)+5-32
=48+5-32
=53-32
=21
Ở câu a) số mũ lúc nào cug dương mà bạn ( 45-10 = 4510). Nếu số mũ là dương thì:
a)\(\frac{45^{10}.5^{20}}{75^{15}}\)
= \(\frac{\left(3^2.5\right)^{10}.5^{20}}{\left(3.5^2\right)^{15}}\)
= \(\frac{3^{20}.5^{10}.5^{20}}{3^{15}.5^{30}}\)
= \(\frac{3^{20}.5^{30}}{3^{15}.5^{30}}\)
= \(\frac{3^5.1}{1.1}\)
= \(\frac{243}{1}\)
= 243
b)\(\frac{2^{15}.9^4}{6^6.8^2}\)
= \(\frac{2^{15}.\left(3^2\right)^4}{\left(2.3\right)^6.\left(2^3\right)^2}\)
= \(\frac{2^{15}.3^8}{2^6.3^6.2^6}\)
= \(\frac{2^{15}.3^8}{2^{12}.3^6}\)
= \(\frac{2^3.3^2}{1.1}\)
= \(\frac{8.9}{1}\)
= \(\frac{72}{1}\)
= 72
Answer:
Bài 3:
\(334-\left(-75\right)+[\left(-175\right)-34]\)
\(=334+75-175-34\)
\(=\left(334-34\right)+\left(75-175\right)\)
\(=300+\left(-100\right)\)
\(=200\)
\(68-\left(-45\right)-[368-\left(-145\right)]\)
\(=68+45-[368+145]\)
\(=\left(68-368\right)+\left(45-145\right)\)
\(=\left(-300\right)+\left(-100\right)\)
\(=-400\)
Bài 4:
\(-17-\left(x-5\right)=-52\)
\(\Rightarrow x-5=-17-\left(-52\right)\)
\(\Rightarrow x-5=35\)
\(\Rightarrow x=40\)
\(3\left(7-x\right)+\left(-12\right)=-75\)
\(\Rightarrow3\left(7-x\right)=-75-\left(-12\right)\)
\(\Rightarrow3\left(7-x\right)=-63\)
\(\Rightarrow7-x=-21\)
\(\Rightarrow x=28\)
Lấy máy tính bấm đi bro
(75 - 15). (-4) + 24.(-34 - 26)
= 60. (-4) + 24.(-60)
= -240 + -1440
= -1680