\(\dfrac{2}{3}-\left[\dfrac{7}{4}-\left(\dfrac{1}{2}+\dfrac{3}{8}\right)\right]\)

\(=\dfrac{2}{3}-\left[\dfrac{7}{4}-\left(\dfrac{4}{8}+\dfrac{3}{8}\right)\right]\)

\(=\dfrac{2}{3}-\left(\dfrac{7}{4}-\dfrac{7}{8}\right)=\dfrac{2}{3}-\left(\dfrac{14}{8}-\dfrac{7}{8}\right)=\dfrac{2}{3}-\dfrac{14}{8}=\dfrac{16}{24}-\dfrac{42}{24}=\dfrac{-26}{24}=-\dfrac{13}{12}\)

uh là nhân

a) \(=\dfrac{254x\left(400-1\right)-145}{254+\left(400-1\right)x253}=\dfrac{254x400-254-145}{254+253x400-253}\)

\(=\dfrac{101600-399}{101200+1}=\dfrac{101211}{101201}=\dfrac{101201+10}{101201}=1+\dfrac{10}{101201}\)

b) \(=\dfrac{5392+\left(600+1\right)x5391}{5392x\left(600+1\right)-69}=\dfrac{5392+600x5391+5391}{5392x600+5392-69}\)

\(=\dfrac{10783+3234600}{3235200+5323}=\dfrac{\text{3245383}}{\text{3240523}}=\dfrac{3240523+60}{3240523}=1+\dfrac{60}{3240523}\)

c) \(=\dfrac{1}{2}x\left(\dfrac{1}{2}-\dfrac{1}{4}\right)+\dfrac{1}{2}x\left(\dfrac{1}{4}-\dfrac{1}{8}\right)+\dfrac{1}{32}\)

\(=\dfrac{1}{2}x\left(\dfrac{1}{2}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{8}\right)+\dfrac{1}{32}\)

\(=\dfrac{1}{2}x\left(\dfrac{1}{2}-\dfrac{1}{8}\right)+\dfrac{1}{32}=\dfrac{3}{16}+\dfrac{1}{32}=\dfrac{7}{32}\)

Gọi a là chiều dài mảnh vườn (m)

Gọi b là chiều rộng mảnh vườn (m)

Theo đề bài ta có : \(a=\dfrac{3}{2}xb\)

Diện tích mảnh vườn HCN :

\(axb=\dfrac{3}{2}xbxb=54\Rightarrow bxb=54:\dfrac{3}{2}=54x\dfrac{2}{3}=36\)

\(\Rightarrow b=6\left(m\right)\Rightarrow a=\dfrac{3}{2}x6=9\left(m\right)\)

Chu vi mảnh vườn :

\(\left(9+6\right)x2=30\left(m\right)\)

a) Thời gian người đi xe máy đuổi kịp người đi xe đạp :

\(15x2:\left(35-15\right)=1,5\left(h\right)\)

b) Chỗ gặp nhau cách A :

\(35x1,5=52,5\left(m\right)\)

\(A=x^2+x+1\)

\(A=x^2+x+\dfrac{1}{4}-\dfrac{1}{4}+1\)

\(A=\left(x+\dfrac{1}{2}\right)^2+\dfrac{3}{4}\)

mà \(\left(x+\dfrac{1}{2}\right)^2\ge0\)

\(\Rightarrow A=\left(x+\dfrac{1}{2}\right)^2+\dfrac{3}{4}>\dfrac{3}{4}>0\) với mọi x

\(\Rightarrow Dpcm\)

\(x:12=x:27\Rightarrow\dfrac{x}{12}=\dfrac{x}{27}\Rightarrow x\in\varnothing\)

Bạn xem lại đề

65 kg=0,065 tấn

65 kg= 65:1000=0,065 tấn 

Chúc bn hok tốt nha!!!