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`x xx 2 +x/2=10`
`=> x xx 2+ x xx 1/2 =10`
`=> x xx (2+1/2) =10`
`=> x xx ( 4/2 +1/2) =10`
`=> x xx 5/2 =10`
`=> x=10:5/2`
`=> x= 10 xx 2/5`
`=> x= 20/5`
`=>x=4`
Vậy `x=4`
`x xx1/4+x xx1/3=2`
`=> x xx (1/4+1/3)=2`
`=> x xx (3/12+4/12)=2`
`=> x xx 7/12=2`
`=> x=2:7/12`
`=>x=2xx12/7`
`=>x=24/7`
\(\dfrac{1}{2022}\) \(\times\) \(\dfrac{2}{5}\) + \(\dfrac{1}{2022}\) \(\times\) \(\dfrac{7}{5}\) - \(\dfrac{1}{2022}\) \(\times\) \(\dfrac{8}{10}\)
= \(\dfrac{1}{2022}\) \(\times\) ( \(\dfrac{2}{5}\) + \(\dfrac{7}{5}\) - \(\dfrac{8}{10}\))
= \(\dfrac{1}{2022}\) \(\times\) ( \(\dfrac{9}{5}\) - \(\dfrac{4}{5}\))
= \(\dfrac{1}{2022}\) \(\times\) \(\dfrac{5}{5}\)
= \(\dfrac{1}{2022}\times1\)
= \(\dfrac{1}{2022}\)
\(1.x-\dfrac{2}{3}\times\left(x+9\right)=1\)
\(x-\dfrac{2}{3}\times x-6=1\)
\(x\times\left(1-\dfrac{2}{3}\right)=7\)
\(x\times\dfrac{1}{3}=7\)
\(x=21\)
\(2.x-\dfrac{11}{15}=\dfrac{3+x}{5}\)
\(\dfrac{15x}{15}-\dfrac{11}{15}=\dfrac{9+3x}{15}\)
\(15x-11=9+3x\)
\(12x=20\)
\(x=\dfrac{5}{3}\)
(x + 1) + (x + 2) + (x + 3) + .................... + (x + 9) + (x + 10) = 2015
x + 1 + x + 2 + x + 3 + ....................... + x + 9 + x + 10 = 2015
10x + (1 + 2 + 3 + 4+ .................. + 10) = 2015
Áp dụng công thức tính dãy số vào dãy tổng 2 , ta có :
1 + 2 + 3 + 4 + .............. + 10 = \(\frac{\left[\left(10-1\right):1+1\right].\left(10+1\right)}{2}=\frac{10.11}{2}=5.11=55\)
=> 10x + 55 = 2015
=> 10x = 2015 - 55
=> 10x = 1960
=> x = 196
( x + 1 ) + ( x + 2 ) + ( x + 3 ) + ( x + 4 ) + ........ + ( x + 9 ) + ( x + 10 ) = 2015
X x 10 + ( 1 + 2 + 3 + 4 + .......... + 9 + 10 ) = 2015
Từ 1 đến 10 có 10 số hạng
Tổng của dãy số từ 1 đến 10 là:
( 10 + 1 ) x 10 : 2 = 45
Thay vào ta có:
X x 10 + 45 = 2015
X x 10 = 2015 - 45
X x 10 = 1970
X = 1970 : 10
X = 197
a) 4/9 x ( 3/5 + 8/5 - 2/10 )
= 4/9 x 1
=4/9
b) ( 312 + 325 - 247 ) : 13
= 390 : 13
= 30
\(a,\left(\dfrac{31}{35}-\dfrac{4}{7}\right)\times\dfrac{8}{7}:2\\ =\left(\dfrac{31}{35}-\dfrac{4\times5}{35}\right)\times\dfrac{8}{7}:2\\ =\dfrac{11}{35}\times\dfrac{8}{7}:2\\ =\dfrac{88}{245}:2\\ =\dfrac{44}{245}\\ b,\left(1-\dfrac{1}{2}\right)\times\left(1-\dfrac{1}{3}\right)\times\left(1-\dfrac{1}{4}\right)\times\left(1-\dfrac{1}{5}\right)\\ =\left(\dfrac{2-1}{2}\right)\times\left(\dfrac{3-1}{3}\right)\times\left(\dfrac{4-1}{4}\right)\times\left(\dfrac{5-1}{5}\right)\\ =\dfrac{1}{2}\times\dfrac{2}{3}\times\dfrac{3}{4}\times\dfrac{4}{5}\\ =\dfrac{1}{3}\times\dfrac{3}{4}\times\dfrac{4}{5}\\ =\dfrac{1}{4}\times\dfrac{4}{5}=\dfrac{1}{5}\)
a, ( \(\dfrac{31}{35}\) - \(\dfrac{4}{7}\)) \(\times\) \(\dfrac{8}{7}\): 2
= \(\left(\dfrac{31}{35}-\dfrac{20}{35}\right)\) \(\times\) \(\dfrac{8}{7}\) : 2
= \(\dfrac{11}{35}\) \(\times\) \(\dfrac{8}{7}\) \(\times\) \(\dfrac{1}{2}\)
= \(\dfrac{44}{35}\) \(\times\) \(\dfrac{4}{7}\)
= \(\dfrac{44}{245}\)
b, ( 1 - \(\dfrac{1}{2}\)) \(\times\) ( 1 - \(\dfrac{1}{3}\)) \(\times\) ( 1 - \(\dfrac{1}{4}\)) \(\times\) ( 1 - \(\dfrac{1}{5}\))
= \(\dfrac{1}{2}\) \(\times\) \(\dfrac{2}{3}\) \(\times\) \(\dfrac{3}{4}\) \(\times\) \(\dfrac{4}{5}\)
= \(\dfrac{1}{5}\) \(\times\) \(\dfrac{2\times3\times4}{2\times3\times4}\)
= \(\dfrac{1}{5}\)
\(2\times x+\dfrac{x}{2}=10\)
\(x\times\left(2+\dfrac{1}{2}\right)=10\)
\(x\times\left(\dfrac{4}{2}+\dfrac{1}{2}\right)=10\)
\(x\times\dfrac{5}{2}=10\)
\(x=10\div\dfrac{5}{2}\)
\(x=4\)
X x 2 + X/2=10
X x 2 + X x 0,5=10
X x (2+0,5) =10
X x 2,5 =10
X =10:2,5
X =4
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