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3 years ago

11

You're making a sandwich at the cafeteria where they have 2 kinds of bread, 2 kinds of cheese, and 3

1 answer:

Sever21 [200]3 years ago

4 0

Answer:

12 different types of sandwich could be made.

Step-by-step explanation:

Since I am making a sandwich at the cafeteria where they have 2 kinds of bread, 2 kinds of cheese, and 3 kinds of meat, to determine how many different sandwiches could I make the following calculations must be performed:

Bread x cheese x meat = X

2 x 2 x 3 = X

4 x 3 = X

12 = X

Therefore, 12 different types of sandwich could be made.

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Una heladeria dispone de 20 frutas distintas para elaborar sus malteadas. Si los clientes pueden elegir tres sabores para mezcla

Dahasolnce [82]

Answer:

Existen 6840 permitaciones de malteadas de tres sabores distintos que la heladería puede ofrecer.

Step-by-step explanation:

En este caso, el cliente que adquiere una malteada de tres sabores distintos sigue el siguiente procedimiento:

1) El primer sabor sale de cualquiera de las 20 frutas disponibles.

2) El segundo sabor es distinto al primer sabor, es decir, que sale de las 19 frutas restantes.

3) El tercer sabor es distinto al primer sabor y al segundo sabor, es decir, que sale de las 18 frutas restantes.

Puesto que existe una doble conjunción y que puede importar el orden según la preferencia del cliente, se habla matemáticamente de una permutación, definida como:

$n\mathbb{P}k = \frac{n!}{(n-k)!}$ (1)

Donde:

$n$ - Número de sabores disponibles, adimensional.

$k$ - Número de sabores escogidos, adimensional.

Si tenemos que $n = 20$ y $k = 3$ , entonces la cantidad de malteadas de tres sabores distintos es:

$n\mathbb{P}k = \frac{20!}{(20-3)!}$

$n\mathbb{P}k = \frac{20!}{17!}$

$n\mathbb{P}k = 20\cdot 19\cdot 18$

$n\mathbb{P}k = 6840$

Existen 6840 permitaciones de malteadas de tres sabores distintos que la heladería puede ofrecer.

5 0

3 years ago

4^1/2 ft to inches

motikmotik

Answer:

54 :)

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Help.........................<br><br>

garri49 [273]

<h3>Answer: Choice A</h3>

$x^2\left(\sqrt[4]{x^2}\right)$

=====================================================

Explanation:

The fourth root of x is the same as x^(1/4)

I.e,

$\sqrt[4]{x} = x^{1/4}$

The same applies to x^10 as well

$\sqrt[4]{x^{10}} = \left(x^{10}\right)^{1/4}$

Multiply the exponents 10 and 1/4 to get 10/4

$\sqrt[4]{x^{10}} = \left(x^{10}\right)^{1/4} = x^{10*1/4} = x^{10/4}$

$\sqrt[4]{x^{10}} = x^{10/4}$

-----------------------

If we have an expression in the form x^(m/n), with m > n, then we can simplify it into an equivalent form as shown below

$x^{m/n} = x^a\sqrt[n]{x^b}$

The 'a' and 'b' are found through dividing m/n

m/n = a remainder b

'a' is the quotient, b is the remainder

-----------------------

The general formula can easily be confusing, so let's replace m and n with the proper numbers. In this case, m = 10 and n = 4

m/n = 10/4 = 2 remainder 2

We have a = 2 and b = 2

So

$x^{m/n} = x^a\sqrt[n]{x^b}$

turns into

$x^{10/4} = x^2\sqrt[4]{x^2}$

which means

$\sqrt[4]{x^{10}} = {x^2} \sqrt[4]{x^2}$

7 0

3 years ago

Find the distance from point A to the given line<br> A(2,-1), y=-x+4

BARSIC [14]

Answer:

using distance formula you can solve it

8 0

2 years ago

Melissa owns a catering company . For lunch and dinner parties , she serves appetizers before each meal. The number of appetizer

german

Answer:

44

Step-by-step explanation:

Lunch = 3 appetizers per guest

If there are 22 guests: 22 × 3 = 66 appetizers served

Dinner = 5 appetizers per guest

If there are 22 guests: 22 × 5 = 110 appetizers served

Difference = total dinner appetizers - total lunch appetizers

= 110 - 66

= 44

7 0

2 years ago