Julián invito a sus amigos a comer una pizza. Él comió 2/8 del total. Juan comió el doble que Julián y mica comió la mitad de lo que comió juan. a- ¿Cuántas porciones tenía la pizza? b- ¿Cuántas comió Julián? c- ¿Cuántas comió juan? d- ¿y Mica? e- ¿Cuántas porciones sobraron? f- Demuestra con un gráfico tus respuestas.

Answers

Answer 1
Answer:

Answer:

a) La pizza tenía 8 porciones.

b) Julián comió 2 porciones.

c) Juan comió 4 porciones.

d) Mica comió 2 porciones.

e) No sobraron porciones.

f) Véase la imagen adjunta para mayor detalle.

Step-by-step explanation:

Sean x, y, z las razones de consumo de Julián, Mica y Juan, de acuerdo con una lectura cuidadosa del enunciado tenemos que:

x+y+z=1(1)

(i)Julián comió 2/8 del total:

x = (2)/(8)(2)

(ii)Juan comió el doble que Julián:

z = 2\cdot x(3)

(iii)Mica comió la mitad de lo que comió Juan:

y = (1)/(2)\cdot z(4)

Al aplicar (2) en (3), tenemos que Juan comió:

z = (4)/(8)

Y ahora se aplica el resultado anterior a (4):

y = (1)/(2)\cdot (4)/(8)

y = (2)/(8)

a) El total de porciones queda representado en el denominador de las fracciones calculadas. Por tanto, la pizza tenía 8 porciones.

b) El número de porciones consumido por cada persona está representada por el numerador de las fracciones calculadas. Por tanto, Julián comió 2 porciones.

c) Juan comió 4 porciones.

d) Mica comió 2 porciones.

e) No sobraron porciones en tanto que la suma de porciones consumidas de las tres personas es igual al valor del denominador.

f) A continuación, anexamos el gráfico correspondiente que sustenta todos los cálculos matemáticos hechos en puntos anteriores.


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There are 4 choices of meats from which you take 3, so there are

4! / (3! (4 - 3)!) = 4! / (3! 1!) = 4!/3! = 4

possible choices of 3-meat combos.

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Answers

Step-by-step explanation:

no.

in a function every x-value has exactly one associated y- value.

but this is clearly violated for x between about -4.5 and -3.5, where every x-value has 3 different associated y-values.

e.g. at x = -3, we get y = 0.5, -2 and -4.25.

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Answers

Every function pairs HAS EXACTLY ONE output value with one input value. 

A function is defined as a relation wherein one variable specifies a single value of another value. Function pairs is composed of an input and an output. 

The answer is exactly one

The school hall is 4 times as long as it is wide. If the perimeter is 55m, what is the length? and what is the width?

Answers

-- The width of the school is ' W '.  We don't know what that is yet,
but we're going to find out.

-- We're told that the length is 4 times as much.  So the length is ' 4 W '.

-- Perimeter is (2 widths) + (2 lengths).

2 widths = 2 W
2 lengths = 8 W
Perimeter = 10 W

-- We're also told that the perimeter is 55m.  That's just what we need.

10 W = 55 m

Divide each side of this equation by 10:

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There's the width !
The length of the hall is 4 times as much.

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Answers

Answer:

The total number of handshakes that would happen between the three people are:

                                    3

Step-by-step explanation:

There are three people at a party.

Let they be denoted by A,B and C.

Now, the total number of handshakes that would occur will be denoted by:

      AB, AC and BC

where AB denotes that A and B shake hands.

AC denote that A and C shake hands.

and BC denote that B and C shake hands.

Hence, total number of handshakes are:

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Answers

Answer:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis

Overall, the steps for algebraically finding the range of a function are:

Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).

Find the domain of g(y), and this will be the range of f(x).

If you can't seem to solve for x, then try graphing the function to find the range.