\(\left(0,5\times m-0,75\right):4=2,5\)

\(0,5\times m-0,75=2,5\times4\)

\(0,5\times m-0,75=10\)

\(0,5\times m=10+0,75\)

\(0,5\times m=10,75\)

\(m=10,75:0,5\)

\(m=21,5\)

`@` `\text {Ans}`

`\downarrow`

`(0,5 \times m - 0,75) \div 4 = 2,5`

`=> 0,5 \times m - 0,75 = 2,5 \times 4`

`=> 0,5 \times m - 0,75 = 10`

`=> 0,5 \times m = 10 + 0,75`

`=> 0,5 \times m = 10,75`

`=> m = 10,75 \div 0,5`

`=> m =21,5`

Vậy, `m=21,5`.

\(\left(\dfrac{1}{2}+1\right)\times\left(\dfrac{1}{3}+1\right)\times\left(\dfrac{1}{4}+1\right)\times\left(\dfrac{1}{5}+1\right)\times\left(\dfrac{1}{6}+1\right)\)

\(=\dfrac{3}{2}\times\dfrac{4}{3}\times\dfrac{5}{4}\times\dfrac{6}{5}\times\dfrac{7}{6}\)

\(=\dfrac{3\times4\times5\times6\times7}{2\times3\times4\times5\times6}\)

\(=\dfrac{7}{2}\)

\(a\times2+a:2=5\)

\(a\times2+a\times\dfrac{1}{2}=5\)

\(a\times\left(2+\dfrac{1}{2}\right)=5\)

\(a\times\dfrac{5}{2}=5\)

\(a=5:\dfrac{5}{2}\)

\(a=2\)

Vậy \(a=2\)

\(2,25-\left(5\times a-125:5\right)=0\)

\(2,25-5\times a+25=0\)

\(27,25-5\times a=0\)

\(5\times a=27,25\)

\(a=27,25:5\)

\(a=5,45\)

Vậy a=5,45

4 5/7 + 3,25 + 2/7 - 1/4

= 4 + 5/7 + 13/4 + 2/7 - 1/4

= 4 + (5/7 + 2/7) + (13/4 - 1/4)

= 4 + 1 + 3

= 8

Ta có: 

\(\dfrac{5}{7}+3,25+\dfrac{2}{7}-\dfrac{1}{4}\)

\(=\left(\dfrac{5}{7}+\dfrac{2}{7}\right)+\left(3,25-0,25\right)\)

\(=\dfrac{7}{7}+3\)

\(=1+3\)

\(=4\)

Vậy: \(4=\dfrac{5}{7}+3,25-\dfrac{2}{7}-\dfrac{1}{4}\)

a: \(\frac{52}{17}>\frac{51}{17}=3\)

\(3=\frac{121}{41}>\frac{120}{41}\)

Do đó: \(\frac{52}{17}>\frac{120}{41}\)

b: \(\frac34+\frac14:\left(\frac{7}{12}-\frac16\right)\)

\(=\frac34+\frac14:\left(\frac{7}{12}-\frac{2}{12}\right)\)

\(=\frac34+\frac14:\frac{5}{12}\)

\(=\frac34+\frac14\times\frac{12}{5}=\frac34+\frac35=\frac{15}{20}+\frac{12}{20}=\frac{27}{20}\)

c: \(372,463\cdot998+744,926\)

\(=372,463\cdot998+372,463\cdot2\)

\(=372,463\times\left(998+2\right)=372,463\times1000=372463\)

d: Số số hạng trong dãy số 2;4;6;...;100 là:

\(\left(100-2\right):2+1=98:2+1=49+1=50\) (số)

\(2-4+6-8+10-12+\cdots+98-100+102\)

\(=\left(2-4\right)+\left(6-8\right)+\cdots+\left(98-100\right)+102\)

=(-2)+(-2)+...+(-2)+102

\(=-2\cdot\frac{50}{2}+102=-50+102=52\)

e: (y+112)-113=79

=>y+112-113=79

=>y-1=79

=>y=79+1=80

f: \(\frac34-y=\frac12\)

=>\(y=\frac34-\frac12=\frac14\)

g: \(\left(\frac45-2\times y\right)+\frac16=\frac56\)

=>\(\frac45-2\times y=\frac56-\frac16=\frac46=\frac23\)

=>\(2\times y=\frac45-\frac23=\frac{12}{15}-\frac{10}{15}=\frac{2}{15}\)

=>\(y=\frac{2}{15}:2=\frac{1}{15}\)

h: (y+1)+(y+2)+...+(y+50)=1750

=>50y+(1+2+...+50)=1750

=>\(50y+50\times\frac{51}{2}=1750\)

=>50y+1275=1750

=>50y=1750-1275=475

=>\(y=\frac{475}{50}=9,5\)

y x 2016 - y = 2012 x 2013 + 2013 x 2 + 2013

y x 2016 - y = 2013 x ( 2012 + 2 +1 )

y x 2016 - y = 2013 x 2015

y x 2016 - y = 4056195

y x 2015 = 4056195

y = 4056195 : 2015 = 2013

Vậy y = 2013.

k cho mình nha!

y x 2016 - y = 2012 x 2013 + 2013 x 2 + 2013

y x 2016 - y x 1 = 2013 x 2012 + 2013 x 2 + 2013 x 1

y x 2015 = 2013 x [ 2012 + 2 + 1 ]

y x 2015 = 2013 x 2015

Vậy suy ra : y = 2013

    Đáp số : 2013

bằng 13/7

Y=\(\frac{13}{7}\)

\(y-\frac{1}{2}-\frac{1}{6}-\frac{1}{12}-\frac{1}{20}-\frac{1}{30}-\frac{1}{42}=1\)

\(y-\frac{210}{420}-\frac{70}{420}-\frac{35}{420}-\frac{21}{420}-\frac{14}{430}-\frac{10}{420}=1\)

\(y-\frac{210-70-35-21-14-10}{420}=1\)

\(y-\frac{60}{420}=1\)

\(y-\frac{1}{7}=1\)

\(y=1+\frac{1}{7}\)

\(y=\frac{7}{7}+\frac{1}{7}\)

\(y=\frac{8}{7}\)