Giải giúp ạ, chiều nay cần gấp
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Câu 3 :
\(n_{SO_3}=\dfrac{8}{80}=0.1\left(mol\right)\)
\(SO_3+H_2O\rightarrow H_2SO_4\)
\(0.1....................0.1\)
b) Cho quỳ tím vào => quỳ tím hóa đỏ
\(m_{H_2SO_4}=0.1\cdot98=9.8\left(g\right)\)
\(C_{M_{H_2SO_4}}=\dfrac{0.1}{0.25}=0.4\left(M\right)\)
Bài 5:
3xy+6x=1-y
=>\(3x\left(y+2\right)-1+y=0\)
=>\(3x\left(y+2\right)+y+2-3=0\)
=>\(3x\left(y+2\right)+\left(y+2\right)=3\)
=>(y+2)(3x+1)=3
=>\(\left(3x+1\right)\cdot\left(y+2\right)=1\cdot3=3\cdot1=\left(-1\right)\cdot\left(-3\right)=\left(-3\right)\cdot\left(-1\right)\)
=>\(\left(3x+1;y+2\right)\in\left\{\left(1;3\right);\left(3;1\right);\left(-1;-3\right);\left(-3;-1\right)\right\}\)
=>\(\left(3x,y\right)\in\left\{\left(0;1\right);\left(2;-1\right);\left(-2;-5\right);\left(-4;-3\right)\right\}\)
=>\(\left(x,y\right)\in\left\{\left(0;1\right);\left(\dfrac{2}{3};-1\right);\left(-\dfrac{2}{3};-5\right);\left(-\dfrac{4}{3};-3\right)\right\}\)
mà x,y nguyên
nên \(\left(x,y\right)\in\left(0;1\right)\)
Bài 2:
a: \(3\left(2x+1\right)-6=27\)
=>\(3\left(2x+1\right)=33\)
=>\(2x+1=\dfrac{33}{3}=11\)
=>2x=11-1=10
=>\(x=\dfrac{10}{2}=5\)
b: \(5+3^{x+1}+2\cdot3^{x+2}=194\)
=>\(5+3^x\cdot3+2\cdot3^x\cdot9=194\)
=>\(21\cdot3^x=189\)
=>\(3^x=9\)
=>x=2
c: \(\left(x^3+8\right)\left(x^2-4\right)=0\)
=>\(\left[{}\begin{matrix}x^3+8=0\\x^2-4=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x^3=-8\\x^2=4\end{matrix}\right.\)
=>\(\left[{}\begin{matrix}x=-2\\x=2\\x=-2\end{matrix}\right.\Leftrightarrow x\in\left\{2;-2\right\}\)
d: \(3x-2⋮x-3\)
=>\(3x-9+7⋮x-3\)
=>\(7⋮x-3\)
=>\(x-3\in\left\{1;-1;7;-7\right\}\)
=>\(x\in\left\{4;2;10;-4\right\}\)
Bài 3:
Gọi số học sinh khối 6 là x(bạn)
(Điều kiện: \(x\in Z^+\))
\(15=3\cdot5;20=2^2\cdot5;25=5^2\)
=>\(BCNN\left(15;20;25\right)=5^2\cdot3\cdot2^2=300\)
Vì số học sinh khi xếp hàng 15;20;25 đều thiếu 2 người
nên ta có: \(x+2\in BC\left(15;20;25\right)\)
=>\(x+2\in B\left(300\right)\)
=>\(x+2\in\left\{300;600;...\right\}\)
=>\(x\in\left\{298;598;...\right\}\)
mà x<400
nên x=298(nhận)
Vậy: Khối 6 có 298 bạn
Bài 1
a) \(-452-\left(-67+75-452\right)\)
\(=-452+67-75+452\)
\(=\left(-452+452\right)+\left(67-75\right)\)
\(=0-8\)
\(=-8\)
b) \(61.64+32.\left(-7\right)+15.\left(-32\right)\)
\(=61.32.2-32.7-32.15\)
\(=32.\left(61.2-7-15\right)\)
\(=32.\left(122-22\right)\)
\(=32.100\)
\(=3200\)
c) \(\left(-3\right)^2.125.11.\left(-2\right)^3\)
\(=9.125.11.\left(-8\right)\)
\(=\left(9.11\right).\left[125.\left(-8\right)\right]\)
\(=99.\left(-1000\right)\)
\(=-99000\)
d) \(2353-\left(473+2353\right)+\left(-55+373\right)\)
\(=2353-473-2353-55+373\)
\(=\left(2353-2353\right)-\left(473-373\right)-55\)
\(=0-100-55\)
\(=-155\)
Bài 1:
a: \(-452-\left(-67+75-452\right)\)
\(=-452+67-75+452\)
\(=\left(-452+452\right)+\left(67-75\right)\)
=-8+0
=-8
b: \(61\cdot64+32\left(-7\right)+15\left(-32\right)\)
\(=61\cdot64+32\left(-15-7\right)\)
\(=32\left(2\cdot61-22\right)=32\cdot100=3200\)
c: \(\left(-3\right)^2\cdot125\cdot11\cdot\left(-2\right)^3\)
\(=9\cdot125\cdot11\cdot\left(-8\right)\)
\(=\left(-8\cdot125\right)\cdot\left(9\cdot11\right)\)
\(=-99\cdot1000=-99000\)
d: \(2353-\left(473+2153\right)+\left(-55+373\right)\)
\(=2353-473-2153-55+373\)
\(=\left(2353-2153\right)+\left(373-473\right)-55\)
\(=200-100-55=45\)
Bài 2:
a: \(x^2-6x-y^2-4y+5\)
\(=x^2-6x+9-\left(y^2+4y+4\right)\)
\(=\left(x-3\right)^2-\left(y+2\right)^2\)
b: \(4a^2-12a-b^2+2b+8\)
\(=4a^2-12a+9-\left(b^2-2b+1\right)\)
\(=\left(2a-3\right)^2-\left(b-1\right)^2\)
c: \(\left(x+y-3\right)\left(x+y+3\right)\)
\(=\left(x+y\right)^2-3^2\)
d: \(\left(3z+x+2y\right)\left(2y-x+3z\right)\)
\(=\left(2y+3z\right)^2-x^2\)
Bài 2:
a: \(2^3\left(x+5\right)-3^2=4^3+7\)
=>\(8\left(x+5\right)=64+7+9=64+16=80\)
=>x+5=80/8=10
=>x=10-5=5
b: \(3672:\left[121-\left(x-5\right)\right]=36\)
=>\(121-\left(x-5\right)=\dfrac{3672}{36}=102\)
=>x-5=121-102=19
=>x=19+5=24
c: \(119-\left(2x-1\right)^2=70\)
=>\(\left(2x-1\right)^2=119-70=49\)
=>\(\left[{}\begin{matrix}2x-1=7\\2x-1=-7\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=4\\x=-3\end{matrix}\right.\)
d: \(2^{x+1}+2^{x+3}+2^{x+5}=168\)
=>\(2^x\cdot2+2^x\cdot8+2^x\cdot32=168\)
=>\(2^x\left(2+8+32\right)=168\)
=>\(2^x=\dfrac{168}{42}=4\)
=>x=2
Bài 3:
Gọi số học sinh khối 6 của quận 11 là x(bạn)
(Điều kiện: \(x\in Z^+\))
\(22=2\cdot11;24=2^3\cdot3;32=2^5\)
=>\(BCNN\left(22;24;32\right)=2^5\cdot3\cdot11=1056\)
Vì khi xếp hàng 22;24;32 thì đều dư 4 bạn nên \(x-4\in BC\left(22;24;32\right)\)
=>\(x-4\in B\left(1056\right)\)
=>\(x-4\in\left\{1056;2112;3168;4224;5280;...\right\}\)
=>\(x\in\left\{1060;2116;3172;4228;5284;...\right\}\)
mà 4000<=x<=5000
nên x=4228
Vậy: Số học sinh khối 6 của quận 11 là 4228 bạn