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\(Ư\left(30\right)=\left\{1;2;3;5;6;10;15;30\right\}\\ \Rightarrow x=5\left(B\right)\\ B\left(8\right)=\left\{0;8;16;24;32;...\right\}\\ \Rightarrow x=24\left(B\right)\)
Bài 1:
a) \(\frac{16}{15}.\frac{\left(-5\right)}{14}.\frac{54}{24}.\frac{56}{21}\)
\(=\frac{4.2.2}{5.3}.\frac{\left(-5\right)}{2.7}.\frac{3.3}{4}.\frac{8}{3}\)
\(=\frac{4.2.2.\left(-5\right).3.3.8}{5.3.2.7.4.3}\)
\(=\frac{-16}{7}\)
b) \(\frac{7}{3}.\frac{\left(-5\right)}{2}.\frac{15}{21}.\frac{4}{\left(-5\right)}\)
\(=\frac{7}{3}.\frac{\left(-5\right)}{2}.\frac{5}{7}.\frac{2.2}{\left(-5\right)}\)
\(=\frac{7.\left(-5\right).5.2.2}{3.2.7.\left(-5\right)}\)
\(=\frac{10}{3}\)
Bài 2:
a) \(\frac{21}{24}.\frac{11}{9}.\frac{5}{7}=\frac{7}{8}.\frac{11}{9}.\frac{5}{7}=\frac{11.5}{8.9}=\frac{55}{72}\)
b) \(\frac{5}{23}.\frac{17}{26}+\frac{5}{23}.\frac{9}{26}\)
\(=\frac{5}{23}.\left(\frac{17}{26}+\frac{9}{26}\right)=\frac{5}{23}.1=\frac{5}{23}\)
c) \(\left(\frac{3}{29}-\frac{1}{5}\right).\frac{29}{3}=\frac{3}{29}.\frac{29}{3}-\frac{1}{5}.\frac{29}{3}\)
\(=1-1\frac{14}{15}=\frac{14}{15}\)
Bài 3:
a) x/5 = 2/5
=> x =2
b) -4/x = 20/14 = 10/7
=> -4/x = 10/7
=> x.10 = (-4).7
x.10 = - 28
x= -28 :10
x= -2,8
c) 4/7 = 12/x = 12/ 21
=> 12/x = 12/21
=> x = 21
d) 3/7 = x / 21 = 9/21
=> x/21 = 9/21
=> x= 9
\(23< a< 30\Rightarrow a\in\left\{24;25;26;27;28;29\right\}\)
\(10< c< 26\Rightarrow c\in\left\{11;12;13;14;15;16;17;18;19;20;21;22;23;24;25\right\}\)
mà \(a< b\le c\)
\(\Rightarrow a< c\Rightarrow a=24\)
\(\Rightarrow a< b\Rightarrow b=25\)
\(\Rightarrow b\le c\Rightarrow c=25\)
\(\Rightarrow24< 25\le25\)
vậy a = 24; b = 25; c = 25
Từ đề bài, suy ra 2a-1 và b2+1 là ước của -17.
Suy ra 2a-1 và b2+1 ∈ (-1, 17), (17, -1), (-17, 1), (1, -17). Vì a, b ∈ Z nên a,b = (0, 4), (-8, 0).
Gọi tổng trên là A.Ta có
\(A=\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}+\frac{1}{143}+\frac{1}{195}\)
\(2A=\frac{2}{15}+\frac{2}{35}+\frac{2}{63}+\frac{2}{99}+\frac{2}{143}+\frac{2}{195}\)
\(2A=\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+\frac{2}{9.11}+\frac{2}{11.13}+\frac{2}{13.15}\)
\(2A=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}+\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}\)
\(2A=\frac{1}{3}-\frac{1}{15}\)
\(2A=\frac{5}{15}-\frac{1}{15}\)
\(2A=\frac{4}{15}\)
\(A=\frac{4}{15}:2\)
\(A=\frac{2}{15}\)
hộ C1: Tìm x biết
a 2x-35=15
=>2x=15+35=50
=>x=25
b 3x+17=2
=>3x=2-17=-15
=>x=5
c x+3/15=1/3
x=1/3-3/15=2/15
d x-12/4=1/2
x=1/2+12/4=7/2
a. 2x-35=15
2x=15+35
2x=50
x=50:2
x=25
Vậy x=25
b. 3x+17=2
3x=2-17
3x=-15
x=-15:3
x=-5
Vậy x=-5
c. \(\frac{x+3}{15}=\frac{1}{3}\)
\(\Rightarrow3x+9=15\)
\(3x=15-9\)
\(3x=6\)
\(x=6:3\)
\(x=3\)
Vậy x=3
d. \(\frac{x-12}{4}=\frac{1}{2}\)
\(\Rightarrow2x-24=4\)
\(2x=4+24\)
\(2x=28\)
\(x=28:2\)
\(x=14\)
Vậy x=14