Tìm X:
\(\frac{X+6}{33}\)= \(\frac{7}{11}\).
Tìm số tự nhiên x, biết : \(\frac{6+x}{33}=\frac{7}{11}\)
mọi người giúp mình với
Tìm x là số tự nhiên
A.\(\frac{6+x}{33}=\frac{7}{11}\)
B.\(\frac{15}{26}+\frac{x}{13}=\frac{46}{52}\)
C\(\frac{121}{27}X\frac{54}{11}< x< \frac{100}{21}:\frac{25}{126}\)
D.\(1< \frac{11}{x}< 12\)
a) X = 15
b) X = 4
c ) X= 23
d) X= 11
( Chỉ là ý kiến riêng thôi nhé, nhận gạch đá )
a) \(\frac{6+x}{33}=\frac{7}{11}\)
=> (6 + x). 11 = 33.7
=> 66 + 11x = 231
=> 11x = 231 - 66
=> 11x = 165
=> x = 165 : 11
=> x = 15
b) 15/26 + x/13 = 46/52
=> x/13 = 23/26 - 15/26
=> x/13 = 4/13
=> x = 4
c) 121/27 x 54/11 < x < 100/21 : 25/126
=> 22 < x < 24
=> x = 23 (vì x là số tự nhiên)
d) 1 < 11/x < 12
=> 11/x \(\in\){2; 3; 4 ; ...; 11}
=> x \(\in\) {11/2; 11/3; ...; 1}
Vì x là số tự nhiên => x = 1
\(\frac{6+x}{33}\)=\(\frac{7}{11}\)
\(\frac{6+x}{33}=\frac{7}{11}\)
\(\Rightarrow\left(6+x\right)\times11=33\times7\)
\(\left(6+x\right)\times11=231\)
\(6+x=231\div11=21\)
\(\Rightarrow x=21-6=15\)
Vậy \(x=15\)
\(\frac{6+x}{33}\)= \(\frac{7}{11}\)
\(\frac{6+x}{33}=\frac{7}{11}\)
\(\Leftrightarrow11\cdot\left(6+x\right)=7\cdot33\)
\(\Leftrightarrow66+11x=231\)
\(\Leftrightarrow11x=231-66\)
\(\Leftrightarrow x=165:11\)
\(\Leftrightarrow x=15\)
Dấu . là dấu nhân
\(\frac{6+x}{33}=\frac{7}{11}\)
=> ( 6 + x ) . 11 = 231
=> 6 + x = 231 : 11
6 + x = 21
x = 21 - 6
x = 15
Vậy x = 15
7/11= 21/33
21/33= 6+x/33
TA CÓ: 21 = 6 + x
VẬY x = 15
CHÚC BẠN HOK TỐT NHA!
Tìm x là số tự nhiên biết :
a) \(\frac{x}{17}=\frac{60}{204}\) b) \(\frac{6+x}{33}=\frac{7}{11}\) c) \(\frac{12+x}{43-x}=\frac{2}{3}\)
d)\(\frac{x}{5}< \frac{3}{7}\) e) \(1< \frac{11}{x}< 2\) g) \(\frac{15}{26}+\frac{x}{16}=\frac{46}{52}\)
HELP ME !
a)\(\frac{x}{17}=\frac{60}{204}=\frac{5}{17}\Rightarrow x=5\)
b)\(\frac{6+x}{33}=\frac{7}{11}\Rightarrow11\left(6+x\right)=7.33\Rightarrow11.6+11x=231\Rightarrow66+11x=231\)
\(\Rightarrow11x=231-66\Rightarrow11x=165\Rightarrow x=\frac{165}{11}=15\)
c)\(\frac{12+x}{43-x}=\frac{2}{3}\Rightarrow2\left(43-x\right)=3\left(12+x\right)\Rightarrow2.43-2x=3.12+3x\)
\(86-2x=36+3x\Rightarrow86-36=3x+2x\Rightarrow50=5x\Rightarrow x=\frac{50}{5}=10\)
a)\(\frac{1}{6}x+\frac{1}{10}-\frac{4}{15}x+1=\)\(0\)
b)\(\left(\frac{1}{7}x-\frac{2}{7}\right).\left(-\frac{1}{5}x+\frac{3}{5}\right).\left(\frac{1}{3}x+\frac{4}{3}\right)=0\)
c)\(\frac{1}{2}x-\frac{11}{15}:\frac{33}{35}=-\frac{1}{3}\)
Tìm x biết:
a, \(\frac{1}{6}x+\frac{1}{10}-\frac{4}{15}x+1=0\)
\(\Leftrightarrow-\frac{1}{10}x=-\frac{11}{10}\)
\(\Leftrightarrow x=11\)
b,\(\left(\frac{1}{7}x-\frac{2}{7}\right)\left(-\frac{1}{5}x+\frac{3}{5}\right)\left(\frac{1}{3}x+\frac{4}{3}\right)=0\)
\(\Leftrightarrow\frac{1}{7}x-\frac{2}{7}=0\)hoặc \(-\frac{1}{5}x+\frac{3}{5}=0\)hoặc \(\frac{1}{3}x+\frac{4}{3}=0\)
+) \(\frac{1}{7}x-\frac{2}{7}=0\Leftrightarrow\frac{1}{7}x=\frac{2}{7}\Leftrightarrow x=2\)
+)\(-\frac{1}{5}x+\frac{3}{5}=0\Leftrightarrow-\frac{1}{5}x=-\frac{3}{5}\Leftrightarrow x=3\)
+)\(\frac{1}{3}x+\frac{4}{3}=0\Leftrightarrow\frac{1}{3}x=-\frac{4}{3}\Leftrightarrow x=-4\)
c, \(\frac{1}{2}x-\frac{11}{15}:\frac{33}{35}=-\frac{1}{3}\)
\(\Leftrightarrow\frac{1}{2}x-\frac{7}{9}=-\frac{1}{3}\)
\(\Leftrightarrow\frac{1}{2}x=\frac{4}{9}\)
\(\Leftrightarrow x=\frac{8}{9}\)
a/ \(\frac{1}{6}x+\frac{1}{10}-\frac{4}{15}x+1=0\)
\(\Rightarrow-\frac{1}{10}x=-\frac{11}{10}\)
\(\Rightarrow x=11\)
b/ \(\left(\frac{1}{7}x-\frac{2}{7}\right)\left(-\frac{1}{5}x+\frac{3}{5}\right)\left(\frac{1}{3}x+\frac{4}{3}\right)=0\)
\(\Rightarrow\frac{1}{7}x-\frac{2}{7}=0\Rightarrow\frac{1}{7}x=\frac{2}{7}\Rightarrow x=2\)
hoặc \(-\frac{1}{5}x+\frac{3}{5}=0\Rightarrow-\frac{1}{5}x=-\frac{3}{5}\Rightarrow x=3\)
hoặc \(\frac{1}{3}x+\frac{4}{3}=0\Rightarrow\frac{1}{3}x=-\frac{4}{3}\Rightarrow x=-4\)
Vậy x = 2, x = 3, x = -4
c/ \(\frac{1}{2}x-\frac{11}{15}:\frac{33}{35}=-\frac{1}{3}\)
\(\Rightarrow\frac{1}{2}x-\frac{7}{9}=-\frac{1}{3}\)
\(\Rightarrow\frac{1}{2}x=\frac{4}{9}\Rightarrow x=\frac{8}{9}\)
Vậy x = 8/9
Cho \(\frac{x-6}{7}+\frac{x-7}{8}+\frac{x-8}{9}=\frac{x-9}{10}+\frac{x-10}{11}+\frac{x-11}{12}\). Tìm x.
Công mỗi phân số cho 1 .....................
mỗi hạng tử ở 2 vế cộng với 1 (có nghĩa là cộng 2 vế với 3 xong chia đều ra 3 hạng tử mỗi hạng tử cộng với 1)
Sau đó sẽ dẫn đến tất cả các hạng tử đều có chung tử số rồi nhóm tử ra ngoài là được
\(\frac{x-6}{7}+\frac{x-7}{8}+\frac{x-8}{9}=\frac{x-9}{10}+\frac{x-10}{11}+\frac{x-11}{12}\)
Cộng mỗi p/s cho 1,ta đc:
\(\frac{x-6}{7}+1+\frac{x-7}{8}+1+\frac{x-8}{9}+1=\frac{x-9}{10}+1+\frac{x-10}{11}+1+\frac{x-11}{12}+1\)
\(\Leftrightarrow\frac{x-6+7}{7}+\frac{x-7+8}{8}+\frac{x-8+9}{9}=\frac{x-9+10}{10}+\frac{x-10+11}{11}+\frac{x-11+12}{12}\)
\(\Leftrightarrow\frac{x+1}{7}+\frac{x+1}{8}+\frac{x+1}{9}-\left(\frac{x+1}{10}+\frac{x+1}{11}+\frac{x+1}{12}\right)=0\)
\(\Leftrightarrow\frac{x+1}{7}+\frac{x+1}{8}+\frac{x+1}{9}-\frac{x+1}{10}-\frac{x+1}{11}-\frac{x+1}{12}=0\)
\(\Leftrightarrow\left(x+1\right).\left(\frac{1}{7}+\frac{1}{8}+\frac{1}{9}-\frac{1}{10}-\frac{1}{11}-\frac{1}{12}\right)=0\)
Vì \(\frac{1}{7}+\frac{1}{8}+\frac{1}{9}-\frac{1}{10}-\frac{1}{11}-\frac{1}{12}\ne0\)
=>x+1=0
=>x=-1
Tìm x là số tự nhiên biết :
A)\(\frac{x}{17}\)= \(\frac{60}{204}\)
B) \(\frac{6+x}{33}\)= \(\frac{7}{11}\)
C)\(\frac{12+x}{43-x}\)= \(\frac{2}{3}\)
A/ \(\frac{x}{17}=\frac{60}{204}\)
\(204x=60.17\)
\(204x=1020\)
\(x=\frac{1020}{204}\)
\(x=\frac{17}{4}=4,25\)
vậy x= 4,25
B/ \(\left(6+x\right).11=33.7\)
\(66+11x=231\)
\(11x=231-66=165\)
\(x=\frac{165}{11}\)
\(x=15\)
vậy x = 15
C/ \(\left(12+x\right).3=\left(43-x\right).2\)
\(36+3x=86-2x\)
\(3x+2x=86-36\)
\(5x=50\)
\(x=\frac{50}{5}=10\)
vậy x=10
mk nhầm
phần a là \(\frac{1020}{204}\)= 5 nha
mk nhầm, xin lỗi
Tìm x,y,z:
a,\(\frac{33}{x}=\frac{45}{120}=\frac{y}{8}=\frac{7}{160}\)
b,\(\frac{55}{66}=\frac{11}{x}=\frac{41}{y}=\frac{7}{12}\)
a)45/120=3/8=y/8->y=3
3/8=33/88->x=88