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a)x+3/6=7/2
x =7/2-3/6
x =3
b)2,8+(3x-5/6)=2/2/5
14/5+(3x-5/6)=12/5
(3x-5/6)=12/5-14/5
3x+5/6=-2/5
3x =-2/5-5/6
3x =-37/30
x =-37/36:3
x =-37/90
Vì : \(x⋮12,x⋮21,x⋮28\Rightarrow x\in BC\left(12,21,28\right)\)
\(12=2^2.3\)
\(21=3.7\)
\(28=2^2.7\)
\(BCNN\left(12,21,28\right)=2^2.3.7=84\)
\(BC\left(12,21,28\right)=B\left(84\right)=\left\{0;84;168;252;336;...\right\}\)
Mà : \(150< x< 300\Rightarrow x\in\left\{168;252\right\}\)
Vậy : \(x\in\left\{168;252\right\}\)
Theo đề bài, ta có :
x ϵ BCNN ( 12,21,28 ) và 150 < x < 300
12 = 22.3
21 = 3.7
28 = 22.7
BCNN ( 12,21,28 ) = 22.3.7 = 84
BC ( 12,21,28 ) = B ( 84 )
= { 0 ; 84 ; 168 ; 252 ; 336 ; ... }
Mà 150 < x < 300
Vậy x = 168
Chúc bạn học tốt !
\(\frac{x}{21}-\frac{2}{3}=\frac{21}{5}\)
=>\(\frac{x}{21}=\frac{21}{5}+\frac{2}{3}\)
=>\(\frac{x}{21}=\frac{73}{15}\)
=>\(x.15=73.21\)
=>\(x.15=1533\)
=>\(x=102,2\)
Vậy x = 102,2
a,x=2 y=30
b :x=15 y=21
tk mình nha
a) -0,6 . x - 7/3 = 5,4 (sửa dấu phẩy thành dấu nhân)
=> \(-\frac{3}{5}x-\frac{7}{3}=\frac{27}{5}\)
=> \(-\frac{3}{5}x=\frac{27}{5}+\frac{7}{3}=\frac{116}{15}\)
=> \(x=\frac{116}{15}:\left(-\frac{3}{5}\right)=\frac{116}{15}\cdot\left(-\frac{5}{3}\right)=-\frac{116}{9}\)
b) 2,8 : \(\left(\frac{1}{5}-3x\right)=1\frac{2}{5}\)
=> \(\frac{1}{5}-3x=2,8:1\frac{2}{5}\)
=> \(\frac{1}{5}-3x=\frac{14}{5}:\frac{7}{5}=\frac{14}{5}\cdot\frac{5}{7}=2\)
=> 3x = \(\frac{1}{5}-2=-\frac{9}{5}\)
=> \(x=\left(-\frac{9}{5}\right):3=\left(-\frac{9}{5}\right)\cdot\frac{1}{3}=-\frac{3}{5}\)
Nên sửa lại đề câu a đi nhá :))
Theo đầu bài ta có:
\(\frac{1}{21}+\frac{1}{28}+\frac{1}{36}+...+\frac{2}{x\left(x+1\right)}=\frac{2}{9}\)
\(\Rightarrow\frac{2}{42}+\frac{2}{56}+\frac{2}{72}+...+\frac{2}{x\left(x+1\right)}=\frac{2}{9}\)
\(\Rightarrow\left(\frac{1}{6\cdot7}+\frac{1}{7\cdot8}+\frac{1}{8\cdot9}+...+\frac{1}{x\left(x+1\right)}\right)\cdot2=\frac{2}{9}\)
\(\Rightarrow\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}+...+\frac{1}{x}-\frac{1}{x+1}=\frac{1}{9}\)
\(\Rightarrow\frac{1}{6}-\frac{1}{x+1}=\frac{1}{9}\)
\(\Rightarrow\frac{1}{x+1}=\frac{1}{18}\)
\(\Rightarrow x+1=18\)
\(\Rightarrow x=17\)
a) x = {26;39;52;65}
b) x = {7;14;21;28;35;42;49;56}
c) x = {15;30}
d) x = {1;2;3;4;6;12}
k mik nha !
Ta có: \(\frac{x}{42}=\frac{15}{21}=\frac{5}{7}\Rightarrow7x=42.5\)
\(\Rightarrow7x=210\)
\(\Rightarrow x=30\)
Tương tự: \(\frac{45}{y}=\frac{5}{7}\Rightarrow5y=45.7\)
\(\Rightarrow5y=315\)
\(\Rightarrow y=63\)
\(\frac{120}{z}=\frac{5}{7}\Rightarrow5z=120.7\)
\(\Rightarrow5z=840\)
\(\Rightarrow z=168\)
Vậy x = 30; y = 63 và z = 168
Ta có : \(\frac{15}{21}=\frac{5}{7}\rightarrow\frac{x}{42}=\frac{45}{y}=\frac{120}{z}=\frac{5}{7}\)
Mà : \(\frac{x}{42}=\frac{5}{7}\rightarrow x=\frac{42\cdot5}{7}=30\)
\(\frac{45}{y}=\frac{5}{7}\rightarrow y=\frac{45\cdot7}{5}=63\)
\(\frac{120}{z}=\frac{5}{7}\rightarrow z=\frac{120.7}{5}=168\)
Hoàng Thị Thanh Trúc
a,
\(\frac{x}{7}=\frac{6}{21}\Rightarrow x=\frac{6.7}{21}=2\)
b,
\(\frac{-5}{y}=\frac{20}{28}\Rightarrow y=\frac{\left(-5\right).28}{20}=-7\)
\(\dfrac{1.2}{-2.8}=\dfrac{x}{21}\)
\(=>x=1.2\cdot21:-2.8=-9\)
Vậy x=-9
1.2\(−2.8)=𝑥\21
=>𝑥=−9