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86.24+24.34+120.76
=(86+34).24+120.76
=120.24+120.76
=120.(24+76)
=120.100
=12000
28 x 76 + 24 x 28 - 28 x 20
= 28 x (76 + 24 - 20)
= 28 x 80
= 2240
\(\dfrac{4}{x}=\dfrac{y}{21}=\dfrac{28}{49}=\dfrac{28:7}{49:7}=\dfrac{4}{9}\\ Vậy:x=\dfrac{4.9}{4}=9\\ y=\dfrac{4.21}{9}=\dfrac{28}{3}\)
\(\dfrac{x}{2}=\dfrac{3}{y}\\ \Leftrightarrow x.y=2.3=6\\ Vậy:\left[{}\begin{matrix}\left(x;y\right)=\left(1;6\right)=\left(6;1\right)\\\left(x;y\right)=\left(2;3\right)=\left(3;2\right)\end{matrix}\right.\)
Ghi rõ đề ra, VP là bao nhiêu?
Biến đổi VT:
\(x+\frac{x}{2}+\frac{x}{6}+\frac{x}{12}+\frac{x}{20}+\frac{x}{30}+\frac{x}{42}+\frac{x}{56}\)
\(=x\left(1+\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{6.7}+\frac{1}{7.8}\right)\)
\(=x\left(1+1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}\right)\)
\(=x\left(2-\frac{1}{8}\right)\)
\(=x.\frac{15}{8}\)
\(x+\frac{x}{2}+\frac{x}{6}+\frac{x}{12}+\frac{x}{20}+\frac{x}{30}+\frac{x}{42}+\frac{x}{56}=28\)
\(\Leftrightarrow x\left(1+\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}\right)=28\)
\(\Leftrightarrow x\left(1+1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{7}-\frac{1}{8}\right)=28\)
\(\Leftrightarrow x\left(1+1-\frac{1}{8}\right)=28\)
\(\Leftrightarrow x.\frac{15}{8}=28\)
\(\Leftrightarrow x=\frac{224}{15}\)
\(\left(20+x\right)10+\left(x+28\right)6=\left(20+28\right)16\)
\(200+10x+6x+168-320-448=0\)
\(16x-400=0\)
\(x=25\)
200+10x+6x+168=768
<=>16x=400
<=> x=25