Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a
\(230+\left[16+\left(y-5\right)\right]=315\cdot1\)
\(230+\left[16+\left(y-5\right)\right]=315\)
\(16+\left(y-5\right)=315-230\)
\(16+\left(y-5\right)=85\)
\(y-5=85-16\)
\(y-5=69\)
\(y=69+5\)
\(y=74\)
b
\(707:\left[\left(2^y-5\right)+74\right]=16-9\)
\(707:\left[\left(2^y-5\right)+74\right]=7\)
\(\left(2^y-5\right)+74=707:7\)
\(\left(2^y-5\right)+74=101\)
\(2^y-5=101-74\)
\(2^y-5=27\)
\(2^y=27+5\)
\(2^y=32\)
\(2^y=2^5\)
\(\Rightarrow y=5\)
a, x : [(1800 + 600) : 30] = 560 : (315 - 35)
<=> x : (2400 : 30) = 560 : 280
<=> x : 80 = 2
<=> x = 160
b, x - 6 : 2 - (48 - 24) : 2 : 6 - 3 = 0
<=> x - 3 - 24 : 2 : 6 - 3 = 0
<=> x - 3 - 2 - 3 = 0
<=> x - 8 = 0
<=> x = 8
c, 390 - (x - 7) = 169 : 13
<=> 390 - (x - 7) = 13
<=> x - 7 = 377
<=> x = 384
d, (x - 140) : 7 = 33 - 23.3
<=> (x - 140) : 7 = 33 - 24
<=> (x - 140) : 7 = 3
<=> x - 140 = 21
<=> x = 161
@Đỗ Thị Huyền Trang
Bạn tham khảo nhé
\(a)\) \(\frac{x-1}{2003}+\frac{x-2}{2002}+\frac{x-3}{2001}-3=0\)
\(\Leftrightarrow\)\(\left(\frac{x-1}{2003}-1\right)+\left(\frac{x-2}{2002}-1\right)+\left(\frac{x-3}{2001}-1\right)+\left(-3+3\right)=0\)
\(\Leftrightarrow\)\(\frac{x-2004}{2003}+\frac{x-2004}{2002}+\frac{x-2004}{2001}=0\)
\(\Leftrightarrow\)\(\left(x-2004\right)\left(\frac{1}{2003}+\frac{1}{2002}+\frac{1}{2001}\right)=0\)
Vì \(\frac{1}{2003}+\frac{1}{2002}+\frac{1}{2001}\ne0\)
\(\Rightarrow\)\(x-2004=0\)
\(\Rightarrow\)\(x=2004\)
Vậy \(x=2004\)
Chúc bạn học tốt ~
\(b)\) \(\frac{315-x}{101}+\frac{313-x}{103}+\frac{311-x}{105}+\frac{309-x}{107}=-4\)
\(\Leftrightarrow\)\(\left(\frac{315-x}{101}+1\right)+\left(\frac{313-x}{103}+1\right)+\left(\frac{311-x}{105}+1\right)+\left(\frac{309-x}{107}+1\right)=-4+4\)
\(\Leftrightarrow\)\(\frac{416-x}{101}+\frac{416-x}{103}+\frac{416-x}{105}+\frac{416-x}{107}=0\)
\(\Leftrightarrow\)\(\left(416-x\right)\left(\frac{1}{101}+\frac{1}{103}+\frac{1}{105}+\frac{1}{107}\right)=0\)
Vì \(\frac{1}{101}+\frac{1}{103}+\frac{1}{105}+\frac{1}{107}\ne0\)
\(\Rightarrow\)\(416-x=0\)
\(\Rightarrow\)\(x=416\)
Vậy \(x=416\)
Chúc bạn học tốt ~
a, \(2A=2+2^2+2^3+...+2^{2011}\)
\(2A-A=\left(2+2^2+2^3+...+2^{2011}\right)-\left(2^0+2^1+2^2+...+2^{2010}\right)\)
\(A=2^{2011}-1\)
b, \(4C=4^2+4^3+...+4^{n+1}\)
\(4C-C=\left(4^2+4^3+...+4^{n+1}\right)-\left(4+4^2+...+4^n\right)\)
\(3C=4^{n+1}-4\)
\(C=\frac{4^{n+1}-4}{3}\)
a) A = 1 + 2 + 22 + ... + 22010
=> 2A = 2 + 22 + 23 + ... + 22011
Lấy 2A - A = (2 + 22 + 23 + ... + 22011) - (1 + 2 + 22 + ... + 22010)
A = 2 + 22 + 23 + ... + 22011 - 1 - 2 - 22 - ... - 22010
= 22011 - 1
b) C = 4 + 42 + 43 +... + 4n
=> 4C = 42 + 43 + 44 + ... + 4n + 1
Lấy 4C - C = (42 + 43 + 44 + ... + 4n + 1) - ( 4 + 42 + 43 +... + 4n)
3C = 4n + 1 - 4
C =(4n + 1 - 4) : 3
a) x \(\in\) B(BC(35; 63; 105)) = 315
=> x = 325k (k \(\in\) N*) . Mà 315 < x < 632 nên 315 < 325k < 632
hay 1 < k < 3. Do đó k = 2
b) x - 2 \(\in\) Ư(ƯC(8; 32; 48)) = 8
Vì 0 < x < 100 nên -2 < x - 2 < 98
Do đó x - 2 \(\in\) {-2; -1; 1; 2; 4; 8}
\(\Leftrightarrow\) x \(\in\) {0; 1; 3; 4; 6; 10}
a) a mũ 4 chia a = a mũ 3
b) ( 16 mũ 2 ) / ( 4 mũ 2 )
= ( 16 / 4 ) mũ 2
= 4 mũ 2
= 16
c) ( 25 mũ 2 ) / ( 5 mũ 2 )
= ( 25 / 5 ) mũ 2
= 5 mũ 2
= 25
\(a^4:a=a^3\)
\(16^2:4^2=\left(16:4\right)^2=4^2=16\)
\(25^2:5^2=\left(25:5\right)^2=5^2=25\)
2\(^1\)=2
4\(^2\)= 16
8 = 8
10\(^3\)= 1000
3 = 3
5\(^2\)= 25
7\(^2\)= 49
9\(^2\)= 81
xin thank
học tốt