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Lê Quốc Trần Anh Coordinator
22/09/2017 at 16:57
Answers
4
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Notice: Now the website's republication is getting worse, Vũ Trung Dũng has created 7 new accounts for self-tick. But the most was that Math You Like pretended to be Phan Thanh Tinh and self-tick. This must be ended immediatly and I think that Summer Clouds must have a solution to these situations.

I had something to prove about this:

https://e-learning.codienhanoi.edu.vn/users/phanthanhtinh (it is Math You Like)

Number of faults from these two accounts:

Math You Like: 15 (Self-tick)

Vũ Trung Dũng: 14 (Self-tick)

TOTAL: 29 from 2 accounts

That is my suggestion. If there are something wrong please comment and I'll answer.

  • ...
    Lê Quốc Trần Anh Coordinator 23/09/2017 at 16:33

    Sorry, the name is Phan Thanh Tịnh. Go to the history and figure it by yourself.

  • ...
    Phan Thanh Tinh Coordinator 22/09/2017 at 23:14

    Các bạn này đang gây rối trật tự của trang web

  • ...
    Math You Like 22/09/2017 at 19:58

    Tôi không biết nha 


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Lê Quốc Trần Anh Coordinator
19/10/2017 at 18:13
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0
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The manufacturer charges $7.68 for a case that contains 24 cans of orange soda. If the Minute Magic Corner Store wishes to make a profit of at least $4.40 per case of orange soda sold, what is the least amount the store should charge for a single can of orange soda?


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Cloud moderators
08/12/2017 at 08:44
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1
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In Swimmington, where Maxwell lives, the charge for water usage is 0.15 cent per gallon. Maxwell has a cylindrical pool of height 4.5 feet and diameter 24 feet. What is the cost for Maxwell to fill his pool so that the water surface is 3 inches below the top of the pool, given that 1 gallon = 231 in\(^3\)? Express your answer to the nearest whole number. 

  • ...
    Lê Quốc Trần Anh Coordinator 08/12/2017 at 18:01

    Convert: 1 foot = 12 inches.

    The volume of the cylindrical pool is: \(4,5\cdot\left(12\cdot12\cdot\pi\right)=4,5\cdot144\pi=648\pi\approx2035,75\left(ft^3\right)=24429\left(in^3\right)\)

    So the cost for Maxwell to fill his pool is: \(\left(24429:231\right)\cdot0,15\approx15,86\approx16\left(cents\right)\)

    Selected by MathYouLike

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Lê Quốc Trần Anh Coordinator
04/01/2018 at 17:50
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0
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Stella sells 30 gismos a month at a price of $20 per gismo. She notices that each time she raises the price of a gismo by $4, she sells 2 fewer gismos per month. What is the maximum amount of revenue, in dollars, that Stella can make in a month of selling gismos? 


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Lê Quốc Trần Anh Coordinator
07/05/2018 at 11:46
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0
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Andy made a playlist with 5 songs (A, B, C, D and E). Song A is 3 minutes long, song B is 2 minutes and 30 seconds, song C is 2 minutes, song D is 1 minute and 30 seconds, and song E is 4 minutes. The songs play in this order in a continuous loop. If Andy left the house when song C was just starting, what song was playing when he got back home 1 hour later?  


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Uchiha Sasuke
19/06/2018 at 08:22
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0
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A rectangle has length p cm and breadth q cm, where p and q are integers is p and q satisfy the equation pq + q = 13 + q2. Find the maximum possible area of the rectangle.


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Uchiha Sasuke
24/07/2018 at 02:12
Answers
2
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A rectangle has length p cm and breadth q cm, where p and q are integers and p and q satisfy the equation pq + q = 13 + q2 then the maximum possible area of the rectangle is...

area

  • ...
    Tôn Thất Khắc Trịnh 24/07/2018 at 13:22

    OwO, it's a typo: it's suppossed to be width, okay?
    If you use the AMGM theorem, you'll know that any rectangle achieves the maximum possible area when both of their measurements are equal, making it a square (a square is technically a rectangle too)
    So we have p=q
    Therefore, the equation will be q2+q=13+q2
    <=>q=13(cm)
    <=>p=q=13(cm)
    <=>S=pq=132=169(cm2)

    (P.S: don't do this here, cuz you'll get to a dead end, oof)
    \(pq+q=13+q^2\)
    \(\Leftrightarrow S=q^2-q+13\)
     

    Selected by MathYouLike
  • ...
    Uchiha Sasuke 24/07/2018 at 13:34

    OMG OMG THANK YOU SO VERY MUCH!!!!!!!!!!!!!!!!!!!!! :DDDDDDDDDDDD


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Quoc Tran Anh Le Coordinator
06/08/2018 at 02:39
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1
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Convert 262 in Base10 to Base5.

Math Puzzles

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    Lê Anh Duy 06/08/2018 at 06:45

    262 = 2 x 53 + 0 x 52 + 2 x 51 + 2 x 50 = 20225

    Selected by MathYouLike

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no name
23/01/2019 at 15:36
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0
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P= -2x4y2 + ax2 y2x2- 5/3 ax4 y2     (a is coefficient)

a) find the value of a such that P \< 0, V xy                                                             b) Given a=9 . find the pair of integers xy such that P= -32


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Jeff Bezos
19/03/2017 at 00:57
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2
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If x = 3 satisfies \(\dfrac{a-x}{3}=\dfrac{bx-5}{5}\), find the value of \(\dfrac{a}{b}-\dfrac{b}{a}\) 

simple equation

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    Hồ Thu Giang 19/03/2017 at 09:42

    If x = 3

    => \(\dfrac{a-3}{3}=\dfrac{3b-5}{5}\)

    => \(5\left(a-3\right)=3\left(3b-5\right)\)

    => 5a - 15 = 9b - 15

    => 5a = 9b

    => \(\dfrac{a}{b}=\dfrac{9}{5}\)

    => \(\dfrac{b}{a}=\dfrac{5}{9}\)

    => \(\dfrac{a}{b}-\dfrac{b}{a}=\dfrac{9}{5}-\dfrac{5}{9}=\dfrac{56}{45}\)

    Jeff Bezos selected this answer.
  • ...
    FA KAKALOTS 03/02/2018 at 12:40

    If x = 3

    => a−33=3b−55

    => 5(a−3)=3(3b−5)

    => 5a - 15 = 9b - 15

    => 5a = 9b

    => ab=95

    => ba=59

    => ab−ba=95−59=5645


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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

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