Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a: \(A=\dfrac{15}{4}-\dfrac{9}{4}=\dfrac{6}{4}=\dfrac{3}{2}\)
b: \(B=\dfrac{-3}{2}\cdot\dfrac{7-5\cdot4}{3}=\dfrac{-13}{-2}=\dfrac{13}{2}\)
c: \(C=\dfrac{-21}{10}\left(1-\dfrac{3}{4}\right)-\dfrac{3}{4}\)
\(=\dfrac{-21}{10}\cdot\dfrac{1}{4}-\dfrac{3}{4}\)
\(=\dfrac{-21}{40}-\dfrac{30}{40}=\dfrac{-51}{40}000000997\)
d: \(D=\dfrac{-2}{3}+\dfrac{-12}{5}-3=\dfrac{-10-36-45}{15}=\dfrac{-91}{15}\)
a, \(x\) + 99: 3 = 55
\(x\) + 33 = 55
\(x\) = 55 - 33
\(x\) = 22
b, (\(x\) - 25):15 = 20
\(x\) - 25 = 20 x 15
\(x\) - 25 = 300
\(x\) = 300 + 25
\(x\) = 325
c, (3\(x\) - 15).7 = 42
3\(x\) - 15 = 42:7
3\(x\) - 15 = 6
3\(x\) = 6 + 15
3\(x\) = 21
\(x\) = 21: 3
\(x\) = 7
a, 245 - 5 . ( 16 + x ) = 140
5 . ( 16 + x ) = 245 - 140
5 . ( 16 + x ) = 145
16 + x = 145 : 5
16 + x = 29
x = 29 - 16
x = 13 .
b, ( x - 1945 ) . 5 = 50
x - 1945 = 50 : 5
x - 1945 = 10
x = 10 + 1945
x = 1955 .
c, 30 . ( 60 - x ) = 30
60 - x = 30 : 30
60 - x = 1
x = 60 - 1
x = 59 .
d, [ ( 250 - 25 ) : 15 ] : x = ( 450 - 60 ) : 130
[ 225 : 15 ] : x = 390 : 130
15 : x = 3
x = 15 : 3
x = 5 .
e, x : [ ( 1800 + 600 ) ] = 560 : ( 315 - 35 )
x : 2400 = 560 : 280
x : 2400 = 2
x = 2 . 2400
x = 4800 .
f, x . ( x + 1 ) = 2 + 4 + 6 + 8 + 10 + ... + 2500
2 + 4 + 6 + 8 + 10 + ... + 2500
Số số hạng của dãy số trên là :
( 2500 - 2 ) : 2 + 1 = 1250 ( số hạng )
=> 2 + 4 + 6 + 8 + 10 + 2500
= ( 2 + 2500 ) . 1250 : 2
= 2502 . 1250 : 2
= 3127500 : 2
= 1563750 .
Ta có :
x . ( x + 1 ) = 1563750
Mà : 1563750 = 1250 . 1251
=> x = 1250 .
a/ \(a+3\inƯ\left(7\right)\)
\(Ư\left(7\right)=\left\{\pm1;\pm7\right\}\)
\(\Rightarrow a\in\left\{-10;-4;-2;4\right\}\)
b/ \(2a\inƯ\left(-10\right)\)
\(Ư\left(-10\right)=\left\{\pm1;\pm2;\pm5;\pm10\right\}\)
\(\Rightarrow a\in\left\{-5;-1;1;5\right\}\)do \(a\inℤ\)
c/ \(a+1\inƯ\left(3a+7\right)\Rightarrow3a+7⋮a+1\)
\(\Rightarrow3a+7-3\left(a+1\right)⋮a+1\)
\(\Leftrightarrow4⋮a+1\)
\(Ư\left(4\right)=\left\{\pm1;\pm2;\pm4\right\}\)
\(\Rightarrow a\in\left\{-5;-3;-2;0;1;3\right\}\)
d/ \(2a+1\inƯ\left(3a+5\right)\Rightarrow3a+5⋮2a+1\)
\(\Rightarrow3a+5-\left(2a+1\right)⋮2a+1\)
\(\Leftrightarrow a+4⋮2a+1\)
\(\Rightarrow2\left(a+4\right)⋮2a+1\Leftrightarrow2a+8⋮2a+1\)
\(\Rightarrow2a+8-\left(2a+1\right)⋮2a+1\Leftrightarrow7⋮2a+1\)
\(Ư\left(7\right)=\left\{\pm1;\pm7\right\}\)
\(\Rightarrow a\in\left\{-4;-1;0;3\right\}\)