Tìm a biết 1/4 < a/24< 1/3
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Ta có \(\dfrac{1}{4}< \dfrac{a}{24}< \dfrac{1}{3}\)
\(\Rightarrow\dfrac{6}{24}< \dfrac{a}{24}< \dfrac{8}{24}\)
\(\Rightarrow6< a< 8\)
\(\Rightarrow a=7\)
Vậy a = 7.
\(a)x=\dfrac{1}{4}+\dfrac{5}{13}=\dfrac{33}{52}.\\ b)\dfrac{x}{3}=\dfrac{2}{3}+\dfrac{-1}{7}.\\ \Leftrightarrow\dfrac{x}{3}=\dfrac{11}{21}.\\ \Leftrightarrow\dfrac{7x}{21}=\dfrac{11}{21}.\\ \Rightarrow7x=11.\\ \Leftrightarrow x=\dfrac{11}{7}.\\ c)\dfrac{x}{3}=\dfrac{16}{24}+\dfrac{24}{36}=\dfrac{2}{3}+\dfrac{2}{3}=\dfrac{4}{3}.\\ \Rightarrow x=4.\\ d)\dfrac{x}{15}=\dfrac{1}{5}+\dfrac{2}{3}=\dfrac{13}{15}.\\ \Rightarrow x=13.\)
Ta có:
3(2x-1)-5(x-3)+6(3x-4)=24
6x-3-5x+15+18x-24=24
19x-12=24
19x=36
x=36/19
a: =>6/x=x/24
=>x^2=144
=>x=12 hoặc x=-12
b: =>x(1-7/12+3/8)=5/24
=>x*19/24=5/24
=>x=5/24:19/24=5/19
c: =>(x-1/3)^2=1+3/4+1/2=9/4
=>x-1/3=3/2 hoặc x-1/3=-3/2
=>x=11/6 hoặc x=-7/6
d: =>(x-3)^2=16
=>x-3=4 hoặc x-3=-4
=>x=-1 hoặc x=7
e: =>9/x=-1/3
=>x=-27
f: =>x-1/2=0 hoặc -x/2-3=0
=>x=1/2 hoặc x=-6
\(1-\left(\frac{27}{8}+a-\frac{129}{24}\right):\frac{23}{3}=0\)
\(1-\left(\frac{81+24a-129}{24}\right):\frac{23}{3}\)=0
\(1-\left(\frac{24a-48}{24}\right):\frac{23}{3}=0\)
\(1-\left(a-2\right)\frac{3}{23}=0\\ \frac{23}{23}-\frac{3a-6}{23}=0\\ \frac{23-3a+6}{23}=0\\ 29-3a=0\\ a=\frac{29}{3}\)
=\(\frac{1X6}{4X6}< \frac{a}{24}< \frac{1x8}{3x8}\)
\(=\frac{6}{24}< \frac{a}{24}< \frac{8}{24}\)
\(\Rightarrow6< a< 8\)
\(\Rightarrow a=7\)
Nha bn!!
HT!~!