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\(2^{35}< 2^{36}=8^{12}\)
\(3^{24}=\left(3^2\right)^{12}=9^{12}\)
\(8^{12}< 9^{12}\)
=>\(2^{36}< 3^{24}\)
=>\(2^{35}< 3^{24}\)
Bài 3:
a) \(159-\left(25-x\right)=43\)
\(\Rightarrow25-x=159-43\)
\(\Rightarrow25-x=116\)
\(\Rightarrow x=25-116\)
\(\Rightarrow x=-91\)
b) \(\left(79-x\right)-43=-\left(17-52\right)\)
\(\Rightarrow\left(79-x\right)-43=-\left(-35\right)\)
\(\Rightarrow79-x=35+43\)
\(\Rightarrow79-x=78\)
\(\Rightarrow x=79-78\)
\(\Rightarrow x=1\)
c) \(-\left(-x+13-142\right)+18=55\)
\(\Rightarrow-\left(-x+13-142\right)=55-18\)
\(\Rightarrow x-13+142=37\)
\(\Rightarrow x+129=37\)
\(\Rightarrow x=37-129\)
\(\Rightarrow x=-92\)
Đổi: 300m2 = 3000000cm2
Diện tích 1 viên gạch là:
50 x 50 = 2500 (cm2)
Vậy số viên gạch có là:
3000000 : 2500 = 1200 (viên)
Đ/S: 1200 viên
\(5,2863< \overline{5,a8b1}< 5,3841\)
=>\(2863< \overline{a8b1}< 3841\)
=>\(\left(a,b\right)\in\left\{\left(2;7\right);\left(2;8\right);\left(2;9\right);\left(3;0\right);\left(3;1\right);\left(3;2\right);\left(3;3\right)\right\}\)
2: ĐKXĐ: n<>1/3
Để \(\dfrac{12}{3n-1}\in Z\) thì \(12⋮3n-1\)
=>\(3n-1\in\left\{1;-1;2;-2;3;-3;4;-4;6;-6;12;-12\right\}\)
=>\(3n\in\left\{2;0;3;-1;4;-2;5;-3;7;-5;13;-11\right\}\)
=>\(n\in\left\{\dfrac{2}{3};0;1;-\dfrac{1}{3};\dfrac{4}{3};-\dfrac{2}{3};\dfrac{5}{3};-1;\dfrac{7}{3};-\dfrac{5}{3};\dfrac{13}{3};-\dfrac{11}{3}\right\}\)
mà n nguyên
nên \(n\in\left\{0;1;-1\right\}\)
| x - \(\frac{1}{2}\)| = 1
TH1:x - \(\frac{1}{2}\) = 1 TH2:x - \(\frac{1}{2}\) = -1
x = 1 + \(\frac{1}{2}\) x = -1 + \(\frac{1}{2}\)
x = \(\frac{3}{2}\) x = \(\frac{-1}{2}\)
Vậy x thuộc \(\frac{3}{2}\)và \(\frac{-1}{2}\)
=2/5(-3/7-5/14)-18/35
=2/5x(-11/14)-18/35
=-22/70-18/35=-29/35
(3/8)-(1/4)+(5/12):(2/3)
=(3/8)-(1/4)+(5/12).(3/2)
=(3/8)-(1/4)+(23/12)
=(1/8)+(23/12)
=49/24
\(\frac{3}{8}\) \(-\frac{1}{4}\) \(+\frac{5}{12}\) \(:\frac{2}{3}\)
\(=\frac{3}{8}\) \(-\frac{1}{4}\) \(+\frac{5}{12}\) X \(\frac{3}{2}\)
\(=\frac{3}{8}\) \(-\frac{1}{4}\) \(+\frac{5}{8}\)
\(=\frac{1}{8}\) \(+\frac{5}{8}\)
\(=\frac{6}{8}\) \(=\frac{3}{4}\)
#Ninh Nguyễn