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3 years ago

A pack of water bottles contains 24 bottles. A man decided to buy 3 bottles of water. How much bottles of water did he buy?

Mathematics

1 answer:

lukranit [14]3 years ago

3 0

Answer: 1/8 pack

Step-by-step explanation:

Pack of bottles = 24 bottles

Bought = 3 bottles

24 bottles ___ 1 pack

3 bottles ___ x= 3/24 pack

(3 bottles * 1 pack) / ( 24 bottles) = 3/24 packs = 1/8 pack

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Evaluate for x = 3 and y = 4: x^-2y^2/x^0y^3 1/36 4/9 1024/9

GrogVix [38]

Answer:

$\frac{1}{36}$

Step-by-step explanation:

Evaluating the numerator and denominator before evaluating

Using the rule of exponents

$a^{-n}$ ⇔ $\frac{1}{a^{n} }$ , $a^{0}$ = 1

Thus

$x^{-2}$ y² ← substitute values into expression

= $3^{-2}$ × 4² = $\frac{1}{9}$ × 16 = $\frac{16}{9}$

and denominator

$x^{0}$ $y^{3}$ = 1 × 4³ = 1 × 64 = 64

Now dividing

$\frac{16}{9}$ ÷ 64

= $\frac{16}{9}$ × $\frac{1}{64}$ ( cancel 16 and 64 )

= $\frac{1}{9(4)}$ = $\frac{1}{36}$

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3 years ago

Why is the simplified value of the expression below? -8*(-3)

kirill115 [55]

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3 years ago

Maggie is displaying paperback and hardback books on her book shelf. The ratio of hardback books to total books is 5 to 13. Whic

lubasha [3.4K]

Answer:

Total Paperback books = 8x , where x is any positive number

Step-by-step explanation:

Let

The total books are = 13x ; where x is any positive number

As given,

The ratio of hardback books to total books is 5 to 13.

⇒Hardback books = $\frac{5}{13}$ × Total books

⇒Hardback books = $\frac{5}{13}$ × 13x = 5x

So, Paperback books = Total books - Hardback books

= 13x - 5x

= 8x

⇒Total Paperback books = 8x

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3 years ago