xy+3x-5y=19
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diện tích trồng cây ăn quả là:
\(1200\times\dfrac{2}{3}=800\left(m^2\right)\)
diện tích trồng hoa là:
\(60:\dfrac{5}{6}=72\left(m^2\right)\)
diện tích trồng rau là:
\(1200-72-800=328\left(m^2\right)\)
tỉ số phần trăm giữa diện tích trồng hoa và diện tích trồng rau là:
72:328\(\times\)100%\(\approx\)22%
2xy - x - y = 10
2x(y - 1) - x = 10
2x(y - 1 - 0,5) = 10
2x(y - 1,5) = 10
Ta có: 10 = 1.10 = (-1).(-10) = 2.5 = (-2).(-5)
Ta lập bảng
2x | 1 | -1 | 2 | -2 |
y - 1,5 | 10 | -10 | 5 | -5 |
x | 0,5 | -0,5 | 1 | -1 |
y | 11,5 | -8,5 | 6,5 | -3,5 |
Vậy (x; y) ϵ {(0,5 ; 11,5); (-0,5; -8,5); (1; 6,5); (-1; -3,5)}
A = \(\dfrac{1}{1.2}\) + \(\dfrac{1}{3.4}\) + \(\dfrac{1}{5.6}\) + ... + \(\dfrac{1}{49.50}\)
A < \(\dfrac{1}{1.2}\) + \(\dfrac{1}{2.3}\) + \(\dfrac{1}{3.4}\) + \(\dfrac{1}{4.5}\) + \(\dfrac{1}{5.6}\) + ... + \(\dfrac{1}{49.50}\)
A < \(\dfrac{1}{1}\) - \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) - \(\dfrac{1}{3}\) + \(\dfrac{1}{3}\) - \(\dfrac{1}{4}\) + \(\dfrac{1}{4}\) - \(\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}+...+\dfrac{1}{49}-\dfrac{1}{50}\)
A < \(\dfrac{1}{1}-\dfrac{1}{50}\) < 1
A < 1 (đpcm)
\(\overline{a,b}-\overline{0,ab}=4,05\)
=>\(\overline{a,b}-\overline{a,b}\times0,1=4,05\)
=>\(0,9\times\overline{a,b}=4,05\)
=>\(\overline{a,b}=4,05:0,9=4,5\)
\(\overline{a,b}\) - \(\overline{0,ab}\) = 4,05
\(\overline{a,b}\) x 1 - \(\overline{a,b}\) x 0,1 = 4,05
\(\overline{a,b}\) x (1 - 0,1) = 4,05
\(\overline{a,b}\) x 0,9 = 4,05
\(\overline{a,b}\) = 4,05 : 0,9
\(\overline{a,b}\) = 4,5
Em xem lại đề nhé. Các phân số này không có quy luật nên không tính được
1: \(\dfrac{1}{26}+\dfrac{-5}{39}=\dfrac{3}{78}-\dfrac{10}{78}=\dfrac{-7}{78}\)
2: \(-\dfrac{1}{16}+\dfrac{-1}{24}=\dfrac{-3}{48}+\dfrac{-2}{48}=-\dfrac{5}{48}\)
3: \(\dfrac{4}{7}-\left(-\dfrac{1}{9}\right)=\dfrac{4}{7}+\dfrac{1}{9}=\dfrac{36}{63}+\dfrac{7}{63}=\dfrac{43}{63}\)
4: \(-0,16+\dfrac{-3}{2}=-0,16-1,5=-1,66\)
5: \(\dfrac{3}{5}-\left(-\dfrac{2}{7}\right)=\dfrac{3}{5}+\dfrac{2}{7}=\dfrac{21}{35}+\dfrac{10}{35}=\dfrac{31}{35}\)
6: \(-\dfrac{4}{12}-\left(-\dfrac{13}{39}-0,25\right)\)
\(=-\dfrac{1}{3}+\dfrac{1}{3}+0,25=0,25\)
7: \(\dfrac{2}{5}-\left(\dfrac{4}{3}+\dfrac{4}{5}\right)-\left(-\dfrac{1}{9}-0,4\right)+\dfrac{11}{9}\)
\(=\dfrac{2}{5}-\dfrac{4}{3}-\dfrac{4}{5}+\dfrac{1}{9}+\dfrac{2}{5}+\dfrac{11}{9}\)
\(=\dfrac{12}{9}-\dfrac{4}{3}=0\)
1. \(\dfrac{1}{26}+\dfrac{-5}{39}=\dfrac{3}{78}+\dfrac{-10}{78}=\dfrac{3-10}{78}=\dfrac{-7}{78}\)
2. \(\dfrac{-1}{16}+\dfrac{-1}{24}=\dfrac{-3}{48}+\dfrac{-2}{48}=\dfrac{-3-2}{48}=\dfrac{-5}{48}\)
3. \(\dfrac{4}{7}-\left(\dfrac{-1}{9}\right)=\dfrac{4}{7}+\dfrac{1}{9}=\dfrac{36}{63}+\dfrac{7}{63}=\dfrac{36+7}{63}=\dfrac{43}{63}\)
4. \(-0.16+\dfrac{-3}{2}=\dfrac{-4}{25}+-\dfrac{3}{2}=\dfrac{-8-75}{50}=\dfrac{-83}{50}\)
5. \(\dfrac{3}{5}-\left(-\dfrac{2}{7}\right)=\dfrac{3}{5}+\dfrac{2}{7}=\dfrac{21}{35}+\dfrac{10}{35}=\dfrac{21+10}{35}=\dfrac{31}{35}\)
6. \(\dfrac{-4}{12}-\left(\dfrac{-13}{39}-0,25\right)+0,75=\dfrac{-1}{3}+\dfrac{1}{3}+0,25+0,75=\left(\dfrac{-1}{3}+\dfrac{1}{3}\right)+\left(0,25+0,75\right)=0+1\)
7. \(2,5-\left(\dfrac{4}{3}+\dfrac{4}{5}\right)-\left(\dfrac{-1}{9}-0,4\right)+\dfrac{11}{9}\)
\(=\dfrac{5}{2}-\dfrac{4}{3}-\dfrac{4}{5}+\dfrac{1}{9}+\dfrac{2}{5}+\dfrac{11}{9}\)
\(=\dfrac{5}{2}-\dfrac{4}{3}-\dfrac{4}{5}+\left(\dfrac{1}{9}+\dfrac{11}{9}\right)+\dfrac{2}{5}\)
\(=\dfrac{5}{2}-\dfrac{4}{3}+\left(\dfrac{2}{5}-\dfrac{4}{5}\right)+\dfrac{12}{9}+\dfrac{2}{5}\)
\(=\dfrac{5}{2}-\dfrac{4}{3}-\dfrac{2}{5}+\dfrac{4}{3}+\dfrac{2}{5}\)
\(=\dfrac{5}{2}\)
Gọi số cần tìm là ab
Ta có :
a0b = 9 . ab
100a + b = 9 . ( 10a + b )
100a + b = 90a + b
100a - b = 9b - b
10a = 8b
a = 8 : 10b = 4545b
Mà a,b là số tự nhiên có 1 chữ số.
=> a = 4 ; b = 5
Vậy số cần tìm là 45
xy+3x-5y=19
=>x(y+3)-5y-15=4
=>(x-5)(y+3)=4
=>\(\left(x-5;y+3\right)\in\left\{\left(1;4\right);\left(4;1\right);\left(-1;-4\right);\left(-4;-1\right);\left(2;2\right);\left(-2;-2\right)\right\}\)
=>\(\left(x;y\right)\in\left\{\left(6;1\right);\left(9;-2\right);\left(4;-7\right);\left(1;-4\right);\left(7;-1\right);\left(3;-5\right)\right\}\)