1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fittoniya [83]
2 years ago
5

How many bottles can you drink?

Mathematics
1 answer:
jeka57 [31]2 years ago
6 0

Step-by-step explanation:

You have 120 bottles of Cola and 120 bottles of Sprite.

You can exchange 3 empty Cola bottles for a new bottle of Sprite.

You can exchange 4 empty Sprite bottles for a new bottle of Cola.

You can borrow empty bottles, but must return them in the end.

What is the maximal number of bottles of drink that you can drink? Prove the optimality of your result.

As this is a puzzle, please give short and clever answers rather than tedious bruteforce calculations.

You might be interested in
Write the expression that is represented by the phrase below.
Inga [223]

Answer:

y^2-(x+4)

Step-by-step explanation:

y^2-(x+4)

3 0
2 years ago
Read 2 more answers
What is the value of t in the equation t+12=30 ?
masha68 [24]
<span>Simplifying X + 12 = 30
 Reorder the terms: 12 + X = 30
 Solving 12 + X = 30
 Solving for variable 'X'.
 Move all terms containing X to the left, all other terms to the right.
 Add '-12' to each side of the equation. 12 + -12 + X = 30 + -12
 Combine like terms: 12 + -12 = 0 0 + X = 30 + -12 X = 30 + -12
 Combine like terms: 30 + -12 = 18 X = 18
 Simplifying X = 18</span>
6 0
3 years ago
Read 2 more answers
Which number is greater tha 9/4​
Naddika [18.5K]

Answer:

9

Step-by-step explanation:

the biggest number gets eaten by the alligator

5 0
3 years ago
How do we express four less than the square of a number?
Gre4nikov [31]

Answer:

x^{2} - 4

Step-by-step explanation:

in this case, x is your number. we will always note square with the tiny two at the top of the number.

Four less than anything is easily shown with a minus four.

eg. four less of 12 square:

12^{2}  - 4 = :)

4 0
3 years ago
Let u= &lt;4,3&gt;. Find the unit vector in the direction of u, and write your answer in component form.
aksik [14]
Take the vector u = <ux, uy> = <4, 3>.

Find the magnitude of u:

||u|| = sqrt[ (ux)^2 + (uy)^2]

||u|| = sqrt[ 4^2 + 3^2 ]

||u|| = sqrt[ 16 + 9 ]

||u|| = sqrt[ 25 ]

||u|| = 5

To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is

u/||u||

u * (1/||u||)

= <4, 3> * (1/5)

= <4/5, 3/5>

and there it is.

Writing it in component form:

= (4/5) * i + (3/5) * j

I hope this helps. =)
3 0
3 years ago
Other questions:
  • You work at a dog food factory. The factory makes 10,600 kilograms of dog food a day. How many metric tons of dog food does the
    12·1 answer
  • A _______ is made by placing two inclined planes back to back
    6·2 answers
  • Triangle abc is a right traingle if side ac=7 and side bc= 10 what is the measure of ab?
    11·1 answer
  • Find<br> ∫^[infinity]_-[infinity] xe^-x^2 dx.
    12·1 answer
  • What is the solution set of x2 – 10 = 30x?
    6·2 answers
  • Which matrix represents the system of equations shown below?
    8·1 answer
  • The graph represents function 1, and the equation represents function 2:
    6·2 answers
  • Can someone pls help me solve this
    7·1 answer
  • Can someone pls help me on this
    13·2 answers
  • Evaluate the expression for a = 3, b=12 , and c = 4. <br><br> 8ab/2bc
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!