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2 years ago

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.

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What is the product of 41 and 8.4 x 10^4 expressed in scientific notation?

LenaWriter [7]

Answer:

3.44 x 10^6

Step-by-step explanation:

41 x 8.4 = 344.4

344.4 x 10^4 = 3.44 x 10^4+2

6 0

2 years ago

Mattie uses the discriminant to determine the number of zeros the q

enot [183]

Answer:for ax^2+bx+c=0 the discriminant is b^2-4ac

there are 3 basic cases of what happens for different discriminants

1. if the discriminant is less than 0, then there are no real zeroes

2. if the discriminant is 0, then it has 1 zero

3. if the discriminant is greater than 0, it has 2 zeroes

so given

0=3x^2-7x+4

a=3,b=-7,c=4

thus the discriminant is (-7)^2-4(3)(4)=49-48=1

the discriminant is 1. 1 is positive, thus the equation has 2 zeroes because the discriminant is greater than 0

the answer is the equation has two zeroes because the discriminant is greater than 0

Step-by-step explanation:

3 0

2 years ago

a 9ft ladder is placed 4.5 feet from the base of a wall. How high up will the ladder reach? Round to the nearest hundredth.

spin [16.1K]

Answer:

$\huge\boxed{7.79 \ \text{feet}}$

Step-by-step explanation:

We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.

This can be represented as a triangle, where x is the unknown side.

| \

x | \ 9

| \

|_____\

4.5

We can use The Pythagorean Theorem to find the value of x. The theorem states that $a^2+b^2=c^2$ , where a and b are the lengths of the legs and c is the length of the hypotenuse.

However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.

$a^2 + 4.5^2 = 9^2\\\\a^2 + 20.25 = 81\\\\a^2 = 60.75\\\\a \approx 7.79$

Hope this helped!

7 0

2 years ago

Jarell is grocery shopping for his BBQ cookout this weekend. He is grilling 13lb. burgers and expects about 20 people. How many

user100 [1]

Jarrell should purchase 7 lbs of ground beef.

Number of attendees = 20

Fraction of burger per person = 1/3 lbs

Total fraction of burger required to feed 20 persons :

Number of attendees × fraction per person

20 × 1/3 = 6.667

The number of whole grouhd beef that should be purchased is 7 lbs

Learn more : brainly.com/question/2610134

8 0

2 years ago

Most decks of playing cards contain 4 suits - hearts, clubs, diamonds, and spades. If you choose one card from the deck at rando

Murrr4er [49]

Answer:

1/4

Step-by-step explanation:

there are only four suits and an equal number of cards from each suit, which makes 13 hearts, clubs, spades, and diamonds, so the chance for one of them to be chosen is 13/52, which is reduced to 1/4, or 25 percent.

have a good day friend :)

5 0

2 years ago