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1/ Tính nhanh :
1,05 + 1,55 + 2,05 + 2,55 + ......+ 8,55
Giải
Số số hạng của dãy là:
( 8,55 - 1,05 ) : ( 1,55 - 1,05 ) + 1 = 16 ( số số hạng )
Tống của dãy trên là :
( 8,55 + 1,05 ) x 16 : 2 = 76,8
Vậy : 1,05 + 1,55 + 2,05 + 2,55 + ......+ 8,55 = 76,8
2/ Tìm x :
x : 0,4 - x : 0,5 = 1,2
x : 2 / 5 - x : 1/ 2 = 6 / 5
X x 5/2 - X x 2 = 6/5
X x ( 5 / 2 - 2 ) = 6/5
X x 1 / 2 = 6/5
x = 6 / 5 : 1 / 2
x = 12 / 5
Vậy x = 2,4
Ai tk mk mk tk lại
\(78-\left(x-25\right).3\frac{1}{3}=73\)
\(78-\left(x-25\right)\cdot\frac{10}{3}=73\)
\(\left(x-25\right)\cdot\frac{10}{3}=78-73\)
\(\left(x-25\right)\cdot\frac{10}{3}=5\)
\(x-25=5:\frac{10}{3}\)
\(x-25=1,5\)
\(x=25+1,5=26,5\)
Tìm x :
2,8 : x - 1,5 = 2,3 : 5,75
=> x - 1,5 = 5,75
x = 5,75 + 1,5
x = 7,25
Tính nhanh :
\(\frac{1}{1\times2}+\frac{1}{2\times3}+\frac{1}{3\times4}+...+\frac{1}{13\times14}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{13}-\frac{1}{14}\)
\(=1-\frac{1}{14}+0+...+0\)
\(=\frac{13}{14}\)
1. 2,8 : x - 1,5 = 2,3 : 5,75
2,8 : x - 1,5 = 0,4
2,8 : x = 0,4 + 1,5
2,8 : x = 1,9
x = 2,8 : 1,9
x = 1,473
2. \(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{13.14}\)
= \(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{13}-\frac{1}{14}\)
= \(1-\frac{1}{14}\)
= \(\frac{13}{14}\)
X : 0,5 + X : 0,25 = 24
X x 2 + X x 4 = 24
X x ( 2 + 4 ) = 24
X x 6 = 24
X = 24 : 6
X = 4
( 1/1.2 + 1/2.3 + 1/3.4 + 1/4.5 +1/5.6 ) x 10 - x = 0
= ( 1- 1/2 +1/2 -1/3 +1/3 - 1/4 + 1/4 - 1/5 +1/5 -1/6 ) x 10 - x = 0
= ( 1 - 1/6 ) x 10 - x = 0
= 5/6 x 10 - x =0
= 25/3 - x =0
x = 25/3 - 0
x = 25/3
\(\left(\frac{1}{1\times2}+\frac{1}{2\times3}+\frac{1}{3\times4}+\frac{1}{4\times5}+\frac{1}{5\times6}\right)\times10-x=0\)
\(\left(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}\right)\times10-x=0\)
\(\left(\frac{1}{1}-\frac{1}{6}\right)\times10-x=0\)
\(\frac{5}{6}\times10-x=0\)
\(\frac{25}{3}-x=0\)
x =\(\frac{25}{3}-0=\frac{25}{3}\)
Ta có:
\(\frac{1}{3\times4}+\frac{1}{4\times5}+\frac{1}{5\times6}+.....+\frac{1}{14\times15}=\frac{4-3}{3\times4}+\frac{5-4}{4\times5}+\frac{6-5}{6\times5}+...+\frac{15-14}{14\times15}\)
\(=\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+...+\frac{1}{14}-\frac{1}{15}=\frac{1}{3}-\frac{1}{15}=\frac{4}{15}\)
Do đó: \(\frac{4}{15}=\frac{x}{30}\)
\(x=\frac{4}{15}\times30=8\)
\(\frac{1}{3\times4}+\frac{1}{4\times5}+\frac{1}{5\times6}+...+\frac{1}{14\times15}=\frac{x}{30}\)
\(\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{5}+...+\frac{1}{14}-\frac{1}{15}=\frac{x}{30}\)
\(\frac{1}{3}-\frac{1}{15}=\frac{x}{30}\)
\(\frac{4}{15}=\frac{x}{30}\)
\(\Rightarrow4\times30=15\times x\)
\(120=15\times x\)
\(x=120\div15\)
\(x=8.\)
\(\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+...+\frac{1}{14.15}=\frac{x}{30}\)
\(\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{14}-\frac{1}{15}=\frac{x}{30}\)
\(\frac{1}{3}-\frac{1}{15}=\frac{x}{30}\)
\(\frac{5}{15}-\frac{1}{15}=\frac{x}{30}\)
\(\frac{4}{15}=\frac{x}{30}\)
\(\frac{8}{30}=\frac{x}{30}\)
\(x=8\)
hok tốt!!
\(7-\left(11+x-13\right)\div2\frac{2}{3}=2\)
\(\left(11+x-13\right)\div2\frac{2}{3}=7-2\)
\(\left(11+x-13\right)\div2\frac{2}{3}=5\)
\(11+x-13=\frac{40}{3}\)
\(11+x=\frac{79}{3}\)
\(x=\frac{46}{3}\)
X x 6 + X x 1/3 = 1/2
X x ( 6 + 1/3 ) = 1/2
X x 19/3 = 1/2
X = 1/2 : 19/3
X = 3/38
MK k bt có đúng k vì k dùng máy tính nếu đúng tích mk sai thì thôi các bạn thông cảm !!
\(x\cdot6+x:3=\frac{1}{2}\)
\(x\cdot6+x\cdot\frac{1}{3}=\frac{1}{2}\)
\(x\cdot\left(6+\frac{1}{3}\right)=\frac{1}{2}\)
\(x\cdot\frac{19}{3}=\frac{1}{2}\)
\(x=\frac{1}{2}:\frac{19}{3}\)
\(x=\frac{3}{38}\)