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Mai has the stamp number is:
40+7=47 (stamps)
Answer:47 stamps
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\(\text{1dm=10cm }\)
\(\text{ The area of shaded triangle : 10x36:2=180(cm2)}\)
\(Answer:180cm^2\)
Good Maths
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\(x^2-5x+4=0\)
\(x^2-5x=-4\)
\(x\left(x-5\right)=-4\)
Have :
\(-4=-1.4=-4.1\)
And : \(x>x-5\)
Case 1:
\(x=4\)
\(x-5=-1\)
\(x=4\left(\text{consequence}\right)\)
Case 2 :
\(x=1\)
\(x-5=-4\)
\(x=1\left(\text{consequence}\right)\)
Answer : \(x=1\)
Or \(x=4\)
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a^2+b^2=c^2
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(1)(2)and(3)
Because
1+2=3
3^2+4^2=5^2
1665^2+2220^2=2775^2
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have :
\(2^{12}=\left(2^3\right)^4\)
\(2^3\equiv1mod7\)
\(\Rightarrow\left(2^3\right)^4\equiv1^4mod7\equiv1mod7\)
\(1\equiv1mod7\)
\(\Rightarrow2^{12}-1\equiv0mod7\)
\(\Rightarrow2^{12}-1⋮7\)
Divisible by 7 is : 0
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a) a^2+b^2=c^2
9^2+12^2=c^2
81+144=c^2
225=c^2
c=15
answer:c=15
b)
a^2+b^2=c^2
10^2+b^2=26^2
100+b^2=676
b^2=576
b=24
answer:b=24
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Price is :
2400:80x100=3000$
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p=2
Good ^^
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If p = 2 then p + 8 isn't a prime number.
If p = 3 then p + 8 and p + 16 are prime numbers.
⇒32+(3+8)2+(3+16)2=491⇒32+(3+8)2+(3+16)2=491
If p > 3 then [p=3k+1p=3k+2[p=3k+1p=3k+2
+ If p = 3k + 1 then p + 8 = 3k + 9=3(k+1) isn't a prime number.
+ If p = 3k + 2 then p + 16 = 3k + 18=3(k+6) isn't a prime number.
Answer: 491
Good ^^
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100+500:5-40
=100+100-40
=160
Answer : 160
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b = \(^{Z^-}\)
Good ^^
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smallest value : 1
When a=1000 or a=1001
Good
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( a = odd number )
a.(a+2)= ( a+1)^2-1
Good ^^
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2002^2/2001^2+2003^2-2
2002^2/ (2002-1)^2+(2002+1)^2-2
Have: a^2 - ( a-1)^2 = a+(a-1)
2002^2/ ( 2002^2-4003) + ( 2002^2 +4005 ) -2
2002^2/2002^2-4003+2002^2+4005-2
2002^2/2002^2+2002^2-4003+4005-2
=2002^2/2002^2+2002^2
= 2002^2/ 2002^2.2
= 1/2
Answer: 1/2
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ab= 8(a+b)
10a+b=8a+8b
2a=7b
=> a=7 ; b=2
so : a=7;b=2
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a =3;a= -3
Ya :3
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(a;b)=(-1;1;-2;2;-5;5;-10;10;-25;25;-50;50)
Good! ^^
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501^2-500^2
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have : 30%=\(\dfrac{3}{10}\)
Linda kept : 1-(1/5+3/10)=1/2
Answer : Linda kept 1/2 of the 100 dollars as cash