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\(\left(x+1,2\right)+\left(x+1,5\right)+\left(x+1,8\right)+...+\left(x+5,7\right)=103,2\)
\(\left(x+x+...+x\right)+\left(1,2+1,5+1,8...+5,7\right)=103,2\)
Gọi \(\left(1,2+1,5+1,8....+5,7\right)\) là \(A\)
Xét \(A\) :
1) K/c : \(1,5-1,2=0,3\)
2) SSH :\(\left(5,7-1,2\right):0,3+1=16\) số \(\Rightarrow16\) x
3) Tổng : \(\left(5,7+1,2\right).16:2=55,2\)
\(\Rightarrow\) \(x.16+55,2=103,2\)
\(x.16=103,2-55,2\)
\(x.16=48\)
\(x=48:16\)
\(x=3\)
Kluận: \(x=3\)
Bai 1 :
a/ \(x:1,4+2,8=8,4\)
\(x:1,4=8,4-2,8\)
\(x:1,4=5,6\)
\(x=5,6\times1,4\)
\(x=7,84\)
b/ \(2,8:x-1,5=2,3:5,75\)
\(2,8:x-1,5=\frac{2}{5}\)
\(2,8:x=\frac{2}{5}+1,5\)
\(2,8:x=\frac{19}{10}=1,9\)
\(\Rightarrow x=2,8:1,9=\frac{28}{19}\)
Bai 2 :
a/ \(575-\left(6\times x+70\right)=445\)
\(6\times x+70=575-445\)
\(6\times x+70=130\)
\(6\times x=130-70\)
\(\Rightarrow6\times x=60\Rightarrow x=10\)
b/ \(315+\left(125-x\right)=435\)
\(125-x=435-315\)
\(125-x=120\)
\(\Rightarrow x=5\)
c/ \(\left(x-105\right):21=15\)
\(x-105=15\times21\)
\(x-105=315\)
\(\Rightarrow x=420\)
d/ \(3636:\left(12\times x-91\right)=36\)
\(12\times x-91=3636:36\)
\(12\times x-91=101\)
\(12\times x=101+91\)
\(12\times x=192\)
\(\Rightarrow x=16\)
e/ \(12\times\left(x-5\right)+73=20\)
\(12\times\left(x-5\right)=20-73\)
\(12\times\left(x-5\right)=-53\)
\(x-5=-53:12\)
\(x-5=\frac{-53}{12}\)
\(\Rightarrow x=\frac{-53}{12}+5\)
\(\Rightarrow x=\frac{7}{12}\)
f/ \(\left[\left(10-x\right)\times2+5\right]:3-2=3\)
\(\left[\left(10-x\right)\times2+5\right]:3=3+2\)
\(\left[\left(10-x\right)\times2+5\right]:3=5\)
\(\left[\left(10-x\right)\times2+5\right]=5\times3\)
\(\left(10-x\right)\times2+5=15\)
\(\left(10-x\right)\times2=15-5\)
\(\left(10-x\right)\times2=10\)
\(10-x=10:2\)
\(10-x=5\)
\(\Rightarrow x=5\)
Mình tính từng cái ra nha, từng cái sẽ ra được kết quả của phép tính:
\(1-\dfrac{1}{5}-\dfrac{1}{6}\)
\(=\left(1-\dfrac{1}{5}\right)-\dfrac{1}{6}\)
\(=\left(\dfrac{5}{5}-\dfrac{1}{5}\right)-\dfrac{1}{6}\)
\(=\dfrac{4}{5}-\dfrac{1}{6}\)
\(=\dfrac{24}{30}-\dfrac{5}{30}\)
\(=\dfrac{19}{30}\)
ta có :\(\frac{n\left(n+1\right)}{2}\)= 3570
=> n ( n+1 ) = 7140
=> 7140 = 84 x 85
=> n = 84
1 + 2 + 3 + 4 + ... + x = 3570
[ ( x - 1 ) : 1 + 1 ] . ( x + 1 ) : 2 = 3570
[ x - 1 + 1 ] . ( x + 1 ) : 2 = 3570
x . ( x + 1 ) : 2 = 3570
x . ( x + 1 ) = 3570 . 2
x . ( x + 1 ) = 7140
x . ( x + 1 ) = 84 . 85
=> x = 84
Khoảng cách giữa hai số là:
14-10=4
Vậy số x là :
10+4x99=406
Đáp số 406
k cho mình nha
\(x+x\div5+x\div2=34\)
\(\Leftrightarrow x+x.\frac{1}{5}+x.\frac{1}{2}=34\)
\(\Leftrightarrow x\left(1+\frac{1}{5}+\frac{1}{2}\right)=34\)
ez rồi, tự giải tiếp
x + x : 5 + x: 2 = 34
x + x: ( 5 + 2 ) = 34
x + x : 7 = 34
x + x = 34 * 7
2x = 238
x = 238 : 2
x = 119
\(\dfrac{21}{x+6}\) = \(\dfrac{14}{30}\)
21 : (\(x\) + 6) = \(\dfrac{7}{15}\)
\(x\) + 6 = 21 : \(\dfrac{7}{15}\)
\(x\) + 6 = 45
\(x\) = 45 - 6
\(x\) = 39