a: \(\dfrac{3.7}{4.5}=\dfrac{37}{45}\)
b: \(=\dfrac{4}{35}\cdot\dfrac{5}{2}=\dfrac{10}{70}=\dfrac{1}{7}\)
c: \(=\dfrac{7}{3}\cdot\dfrac{4}{3}=\dfrac{28}{9}\)
d: \(=\dfrac{22}{7}:\dfrac{5}{3}=\dfrac{22}{7}\cdot\dfrac{3}{5}=\dfrac{66}{35}\)
e: \(=2:\dfrac{1}{200}=\dfrac{400}{1}\)
f: =13/5:37/10=13/5x10/37=26/37
Tìm x:
\(\dfrac{x}{-18}=\dfrac{-50}{x};\\ 1\dfrac{1}{3}:\left(-0,08\right)=\dfrac{2}{3}:\left(-0,1x\right);\\ x=\dfrac{a}{b+c}=\dfrac{b}{c+a}=\dfrac{c}{b+a};\\ \dfrac{x^2}{6}=\dfrac{24}{25};\dfrac{x+1}{x-5}=\dfrac{0,5}{0,6};\\ \dfrac{2}{3}x:\dfrac{1}{5}=1\dfrac{1}{3}:\dfrac{1}{4};\\ 1,35:0,2=1,25:0,1x\)
Viết dưới dạng lũy thừa của một số nguyên:
a/\(12^3:\left(3^{-4}.64\right)\)
b/\(\left(\dfrac{3}{7}\right)^5.\left(\dfrac{7}{3}\right)^{-1}.\left(\dfrac{5}{3}\right)^6:\left(\dfrac{343}{625}\right)^{-2}\)
c/\(5^4.125.\left(2,5\right)^{-5}.0,04\)
1: Tính hợp lí:
a, \(\dfrac{11}{125}\)- \(\dfrac{17}{18}-\dfrac{5}{7}+\dfrac{4}{9}\)+ \(\dfrac{17}{14}\)
b,\(-1\dfrac{5}{7}.15+\dfrac{2}{7}.\left(-15\right)+\left(-105\right).\left(\dfrac{2}{3}-\dfrac{4}{5}+\dfrac{1}{7}\right)\)
2: Tìm x:
a, \(\dfrac{11}{13}-\left(\dfrac{5}{42}-x\right)=-\left(\dfrac{15}{28}-\dfrac{11}{13}\right)\)
b,\(|x+\dfrac{4}{15}|-|-3,75|=-|-2,15|\)
c, \(^{7^{x+2}}+2.7^{x-1}=345\)
Tìm x:
a/\(\left(\dfrac{12}{25}\right)^x\)=\(\left(\dfrac{3}{5}\right)^2-\left(-\dfrac{3}{5}\right)^4\)
b/\(\left(-\dfrac{3}{4}\right)^{3x-1}=\dfrac{256}{81}\)
c/172\(x^2-7^9:98^3=2^{-3}\)
Tìm a,b,c biết:
a/\(\dfrac{a}{2}=\dfrac{b}{3}=\dfrac{c}{5}\)và a.b.c=810
b/\(\dfrac{a}{4}=\dfrac{b}{3}=\dfrac{c}{9}\)và \(a-3b+4c=62\)
c/\(\dfrac{2a}{3}=\dfrac{3b}{4}=\dfrac{4c}{5}\)và a+b+c=49
d/\(\dfrac{a}{b}=\dfrac{9}{7}\)và\(\dfrac{b}{c}=\dfrac{7}{3}\),a-b+c=15
Bài 1: tìm GTLN:
a) D=1-|2x-3|
b) E=-|10-5x|-14,2
c) P=4-|5x-2|-|3y+12|
d) A= 5-3(2x-1)2
BÀI 2: TÍNH:
A=|x+\(\dfrac{1}{2}\)|-|x+2|+|x-\(\dfrac{3}{4}\)| khi x=\(\dfrac{-1}{2}\)
B= 2x+2xy-y với |x|=2,5;y=\(\dfrac{-3}{4}\)
C=3a-3ab-b; B=\(\dfrac{5a}{3}-\dfrac{3}{b}\)
Mong mn giúp mk vs, mk đang cần gấp
Help me ..........................!
Tính:\(A=3\dfrac{1}{417}.\dfrac{1}{762}-\dfrac{1}{139}+\dfrac{761}{762}-\dfrac{4}{417.762}+\dfrac{5}{139}\)
LƯU Ý:\(3\dfrac{1}{417}\)là hỗn số
Tìm \(x\in Z\),biết:
a/\(x^2=16\)
b/\(x^3=-8\)
c/\(\left(x+2\right)^2=4\)
d/\(\left(1-x\right)^3=1\)
e/\(\dfrac{1}{4}.\dfrac{1}{6}.\dfrac{3}{8}.\dfrac{4}{10}.....\dfrac{14}{30}.\dfrac{15}{32}=2^x\)
\(\dfrac{3}{4}+\dfrac{1}{4}:x=\dfrac{2}{5}\)
