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Answers ( 30 )
  • See question detail

    Mai has the stamp number is:

    40+7=47 (stamps)

    Answer:47 stamps

  • See question detail

    \(\text{1dm=10cm }\) 

    \(\text{ The area of shaded triangle : 10x36:2=180(cm2)}\) 

    \(Answer:180cm^2\) 

    Good Maths haha

  • See question detail

    \(x^2-5x+4=0\) 

    \(x^2-5x=-4\) 

    \(x\left(x-5\right)=-4\) 

    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

  • See question detail

    (1)(2)and(3)

    Because 

    1+2=3

    3^2+4^2=5^2

    1665^2+2220^2=2775^2 

  • See question detail

    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

  • See question detail

    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

  • See question detail

    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! ^^

  • See question detail

    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

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