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Summer Clouds moderators
20/08/2017 at 16:49
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 Several pairs of positive integers (m, n) satisfy the condition 19m + 90 + 8n = 1998 . Of these, ( 100, 1 ) is the pair with the smallest value for n . Find the pair with the smallest value for m .


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Lê Quốc Trần Anh Coordinator
04/09/2017 at 17:15
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An item with an original price of d dollars has its price increased by x percent in April and then decreased by x percent in May. The resulting price is 4 percent less than the original price. What is the value of x?

  • ...
    VTK-VangTrangKhuyet 04/09/2017 at 19:56

    Following thread we have :

    An item with original price : d dollars.

    + In April : \(d\cdot\left(100\%+x\%\right)=d'\)

    + In May : \(\dfrac{d'}{100\%}\cdot\left(100\%-x\%\right)=d''\)

    The resulting price is : \(d''=\left(100\%-4\%\right)\cdot d\)

    The same with : \(\dfrac{d'}{100\%}\cdot\left(100\%-x\%\right)=96\%\cdot\left(\dfrac{d'}{100\%+x\%}\right)\)

    Solve the equation we have x = 20.

    So the answer is x = 20.

    Lê Quốc Trần Anh selected this answer.

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Summer Clouds moderators
21/09/2017 at 09:21
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 A three digit number 5ab is written 99 times as 5ab5ab5ab……..5ab. The resultant number is a multiple of 91. What is the three digit number? 

  • ...
    Lê Quốc Trần Anh Coordinator 21/09/2017 at 17:58

    Multiple of 91 <=> Divisible by 91.

    We have: \(abc⋮d\) => \(abcabc⋮d\)

    => \(5ab⋮91\) => \(546⋮91\)

    So the number is: 546

    Selected by MathYouLike

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Lê Quốc Trần Anh Coordinator
19/10/2017 at 18:10
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How many odd numbers are there between 20 and 158?

  • ...
    Dao Trong Luan Coordinator 19/10/2017 at 18:26

    The smallest odd between 20 and 158 is 21

    The greatest odd between 20 and 158 is 157

    So the number of odd between 20 and 158 is:

    \(\dfrac{157-21}{2}+1=69\left(odd-numbers\right)\)

    So there are 69 odd number between 20 and 158

    Selected by MathYouLike
  • ...
    Detecvite Conan 23/10/2017 at 18:07

    The smallest odd greater than 20 is: 21
    The largest number less than 158 is 157
    Odd numbers are:

    (157-21): 2 + 1 = 69 (odds)

    Answer: 69 odds

  • ...
    Detecvite Conan 23/10/2017 at 18:03

    Smaller numbers greater than 20 are: 21
    The largest number less than 158 is 157
    Odd numbers are:

    (157-21):2+1=69

    Answer:69


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Nguyễn Hưng Phát
16/11/2017 at 13:29
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Let P=|x2-5|+|x2-6|+|x2-2017|.What is the value of x so that P attains its minimum value?


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Nguyen Huu Ai Linh
07/12/2017 at 08:24
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3; 6; 9; 12; 15; 18; 21; 24; 27; 30; ...

Which number are in 99th place?

Numbers

  • ...
    Nguyễn Hưng Phát 07/12/2017 at 11:32

    The first number:3=1.3

    The second number:6=3.2

    The third number:9=3.3

    .........

    So the 99th number of row is:

       3.99=297

    Answer:297

    Nguyen Huu Ai Linh selected this answer.
  • ...
    Dao Trong Luan Coordinator 07/12/2017 at 11:30

    1st = 1.3

    2nd = 2.3

    3rd = 3.3

    ............

    => 99th = 99.3 = 297


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Lê Quốc Trần Anh Coordinator
04/01/2018 at 17:47
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The mean of the squares of three non-zero numbers a, b and c is three times the square of their mean. If b = 2a, what is the value of c/a ? Express your answer as a common fraction.  


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Lê Quốc Trần Anh Coordinator
04/03/2018 at 04:07
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Petra randomly selects a card from a standard deck of 52 playing cards. What is the percent probability that the card shows a red number greater than 6? Express your answer to the nearest hundredth.

  • ...
    Lê Quốc Trần Anh Coordinator 07/03/2018 at 04:37

    ANSWER:

    In a standard deck of 52 playing cards, the red number cards greater than 6 are the 7, 8, 9 and 10 in the suits of diamonds and hearts. That’s a total of 8 cards. The percent probability that Perta randomly selects one of these 8 cards, then, is 8/52 ≈ 15.38%.


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Đỗ Anh
06/05/2018 at 08:29
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Dựa vào bài thơ " Đêm nay Bác khong ngủ " , hãy miêu tả Bác Hồ trong một đêm Bác không ngủ

 

  • ...
    Emillia 10/05/2018 at 13:31

    Đây là web học toán nha bạn!

  • ...
    HSG Phan Huy Toàn 07/05/2018 at 08:04

    P/s : This is an website Mathematics
    Not about literature
     


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Lê Quốc Trần Anh Coordinator
19/06/2018 at 02:22
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The sum of three different two-digit prime numbers is 79. The largest of the numbers is 43. The difference of the other two is 10. What is the product of the three numbers?

  • ...
    Nguyễn Mạnh Hùng 19/06/2018 at 09:22

    Call three two-digit prime number is a, b and c.

    Suppose: a < b < c

    We have: \(\left\{{}\begin{matrix}c=43\\b-a=10\end{matrix}\right.\)

    But a + b + c = 79 => a + b = 36.

    => b = ( 36 + 10 ) : 2 = 23 

    => a = 23 - 10 = 13 

    => a x b x c = 23 x 13 x 43 = 12857 

    Lê Quốc Trần Anh selected this answer.

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Trigonometric
sin cos tan cot sinh cosh tanh
Lim-log

Combined operations

 

α β γ δ θ σ ∂ ε ω φ ϕ π μ λ Ψ ξ η χ ζ ι κ ν ψ Ω ρ τ υ Γ Δ Λ Φ Π Σ Υ Ξ ϑ Θ ς ϰ
∞ ⊻ ⩞ ⋎ ⋏ ≀ ∪ ⊎ ⋓ ∩ ⋒ ⊔ ⊓ ⨿ ⊗ ⊙ ⊚ ⊛ ⊘ ⊝ ⊕ ⊖ ⊠ ◯ ⊥
⇔ ⇒ ⇐ → ← ↔ ↑ ↓
Operations
+ - ÷ × ≠ = ⊂ ⊃ ⊆ ⊇ ≈ ∈ ∉ ∃ ∄ ≤ ≥ ± ∓ ≠ ∅ ≃ ≅ ≡ ⋮ ⋮̸ ∀
(□) [□] {□} |□|

The type of system

m×n 1×2 1×3 1×4 1×5 1×6
2×1 2×2 2×3 2×4 2×5 2×6
3×1 3×2 3×3 3×4 3×5 3×6
4×1 4×2 4×3 4×4 4×5 4×6
5×1 5×2 5×3 5×4 5×5 5×6
6×1 6×2 6×3 6×4 6×5 6×6

Recipe:

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