MathYouLike MathYouLike
  • Toggle menubar
  • Toggle fullscreen
  • Toggle Search
  •    Sign up
  • Newest
  • Featured
  • Votes
  • Unanswered
  • First «
  • 464
  • 465
  • 466
  • 467
  • 468
  • » Last
  • QUESTIONS
  • TAGS
  • USERS
  • BADGES
  • UNANSWERD
  • ASK A QUESTION
  • BLOG

All questions

  • Newest
  • Featured
  • Votes
  • Unanswered

...
Lê Quốc Trần Anh Coordinator
19/06/2018 at 03:21
Answers
1
Follow

Given that 2a + b = 19, 2c + d = 37 and b + d = 24, what is the value of a + b + c + d?

  • ...
    Nguyễn Mạnh Hùng 19/06/2018 at 08:50

    \(\left\{{}\begin{matrix}2a+b=19\left(1\right)\\2c+d=37\left(2\right)\end{matrix}\right.\)

    Put (1) + (2) we have:

    \(2a+b+2c+d=56\)

    \(\Rightarrow2a+2c=32\) (because b + d = 24 ) 

    \(\Rightarrow a+c=16\)

    So a + b + c + d = 24 + 16 = 40

    Lê Quốc Trần Anh selected this answer.

...
Mr Puppy
23/07/2018 at 10:34
Answers
2
Follow

Let N be the largest number of region that can be formed by drawing 2016 straight lines on a plane. Find the sum of all digits of N.

number

  • ...
    Tôn Thất Khắc Trịnh 23/07/2018 at 16:04

    I won't take credit for this solution, as it goes to this website: https://www.cut-the-knot.org/proofs/LinesDividePlane.shtml
    Applying 2016 to the formula, we'll get 2033137 regions, which has the sum of digit be 19

    Selected by MathYouLike
  • ...
    Mr Puppy 24/07/2018 at 01:44

    Thank you!!!!! :D


...
Quoc Tran Anh Le Coordinator
06/08/2018 at 02:37
Answers
1
Follow

What is the value of \(\dfrac{10^{11}+10^{10}}{10^{10}}\) ?

Math Puzzles

  • ...
    Huy Toàn 8A (TL) 06/08/2018 at 03:24

    We have:

    \(\dfrac{10^{11}+10^{10}}{10^{10}}\)

    \(< =>\dfrac{10^{10}\left(10+1\right)}{10^{10}}\)

    = 11

    The answer is : 11

    Selected by MathYouLike

...
Huỳnh Anh Phương
06/01/2019 at 04:25
Answers
0
Follow

A train wheel can drive with the speed 180 rpm ( rotations per minute ) . How long time to get 600 rotations ? Express your answer in the form x minutes y seconds, where x and y are whole numbers.

Mathcounts


...
Jeff Bezos
19/03/2017 at 00:53
Answers
1
Follow

An operation is defined as a*b = 3*a - 5*b.

Find the value of x in 7*(x*4) = 1.

simple equation

  • ...
    Phan Thanh Tinh Coordinator 23/03/2017 at 18:31

    We have : 7*(x*4) = 7*(3x - 20) = 21 - 5(3x - 20) = 121 - 15x

    So 121 - 15x = 1 => 15x = 120 => x = 8

    Selected by MathYouLike

...
Summer Clouds
30/05/2017 at 08:34
Answers
2
Follow

How many hours are there in half of a third of the quarter of a day?
A, \(\dfrac{1}{3}\)                        B, \(\dfrac{1}{2}\)                          \(C,1\)                         D, \(2\)
 

  • ...
    Nguyễn Nhật Minh 30/05/2017 at 12:09

    There are 24 hours in a day.

    So, a quarter of a day = 24 \(\times\dfrac{1}{4}\) = 6 hours.

    Thus, a third of 6 hours = 6 \(\times\dfrac{1}{3}\) = 2 hours.

    Thereupon (also means Thus), a half of 2 hours = 2 \(\times\dfrac{1}{2}\) = 1 hour.

    Therefore, a half of a third of a quarter of a day is 1 hour. So we choose C.

    Answer. C

  • ...
    Dương Minh Hiếu 02/06/2017 at 10:30

    answer c


...
Summer Clouds moderators
11/08/2017 at 09:12
Answers
1
Follow

Three Maryland educators will split equally $234 million from the Mega Million Lottery. Each will collect about $53 million after taxes. What percentage of tax will be paid by each of the winners if the taxes also are split equally among the winners? 

  • ...
    Lê Quốc Trần Anh Coordinator 11/08/2017 at 09:22

    The total money of 3 person is: \(53.3=159\left(million\right)\)

    The taxes of 1 person is: \(\left(234-159\right):3=25\left(millions\right)\)

    The total of the money of 1 person: \(25+53=78\left(million\right)\)

    The percentage of the tax of 1 person is: \(25:78\simeq0,3205\simeq32,05\%\)


...
Lê Quốc Trần Anh Coordinator
19/10/2017 at 18:13
Answers
1
Follow

The length, width and height of a rectangular prism are in the ratio 3:2:1, respectively. What is the length of the prism if it has a volume of 48 in\(^3\) ?

  • ...
    Dao Trong Luan Coordinator 19/10/2017 at 18:46

    Let a,b,c sequence is length, width and height of this rectangular prism. We have:

    \(\dfrac{a}{3}=\dfrac{b}{2}=c\); abc = 48

    Let \(\dfrac{a}{3}=\dfrac{b}{2}=c=k\Rightarrow\left\{{}\begin{matrix}a=3k\\b=2k\\c=k\end{matrix}\right.\)

    => abc = 3k.2k.k = 6k3 = 48

    => k3 = 8 => k = 2

    => a = 2.3 = 6 

    So the length of this prism is 6in = 15,24cm 

    Lê Quốc Trần Anh selected this answer.

...
Cloud moderators
08/12/2017 at 08:43
Answers
1
Follow

A box contains 26 slips of paper, each showing a different letter of the alphabet. If two slips of paper are drawn from the box at the same time, what is the probability that both letters appear in the word ALGEBRA? Express your answer as a common fraction.

  • ...
    Lê Quốc Trần Anh Coordinator 08/12/2017 at 17:51

    Because the word ALGEBRA has 6 different letters so we have 6 slips of paper for this word.

    So the probability is: \(\dfrac{6}{26\left(26-1\right)}=\dfrac{6}{650}=\dfrac{3}{325}\)

    Selected by MathYouLike

...
Lê Quốc Trần Anh Coordinator
04/01/2018 at 17:50
Answers
0
Follow

In order to send his DVD player back to the manufacturer for repair, Jeremy must pack it securely. He has a packing box with internal dimensions 22” × 18” × 6”. The DVD player is a rectangular prism with dimensions 15” × 12” × 2”. He has a box with external dimensions 3” × 3” × 8” for the power cord, which also will go inside the packing box. How many cubic inches of packing material must he put in the packing box to fill it completely?


4801

questions

Weekly ranking


Tags

games 18  double counting 8  generating functions 2  probabilistic method 1  Polynomial 9  inequality 13  area 17  Equation 9  Primitive Roots Modulo Primes 1  Primitive in Arithmetic Progression 6  Base n Representatioons 4  Pell Equation 1  mixed number 1  Fraction 29  Circle 3  Imaginary numbers 1  Decimal number 2  Volume 2  percentages 6  simple equation 19  absolute value 19  rational numbers 20  Operation of Indices 21  Simulataneous Equation A System of Equations 25  Multiplication of Polynomial 17  divisibility 24  Maximum 5  Minimum 8  Fraction 4  Prime Numbers and Composite Numbers 13  Square Number 26  Even and Odd Numbers 13  GDC and LCM 11  GCD and LCM 12  Permutation and combination 9  combinations 5  interger 7  number 10  Diophantine equations 2  equations 1  Grade 6 19  Power 3  equality 2  maxima-minima 2  square root 1  Polygon 2  IGCSE 1  factorial 1  integers 2 
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:

© HCEM 10.1.29.225
Crafted with by HCEM