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alexandr402 [8]
2 years ago
13

Marcus pours 12 ounces of cranberry juice into a punch bowl. He uses a container to add sprakling water to the bowl one ounce at

a time. Write a rule to show the pattern and use it to calculate how many ounces of liquid Marcus will have in the bowl after adding 8 containers of sparkling water.
Mathematics
1 answer:
melomori [17]2 years ago
6 0

Answer: There is 20 ounces of liquid in the bowl after adding 8 containers of sparkling water.

Step-by-step explanation:

Since we have given that

Number of ounces of cranberry juice into a punch bowl = 12 ounces

According to question, he uses a container to add sparkling water to the bowl one ounce at a time.

Let the amount of sparkling water added to the bowl be 'x'

Let the total number of ounces of liquid Marcus will have be 'y'.

So, our equation becomes,

y=12+x

Here, we have asked after adding 8 containers of sparkling water .

So, now, our equation becomes,

y=12+x\\\\y=12+8\\\\y=20\ ounces

Hence, there is 20 ounces of liquid in the bowl after adding 8 containers of sparkling water.

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What is the step by step solution to 30m=80+22m thank you
ratelena [41]

Answer:

-10

Step-by-step explanation:

30m - 22m =80 therefore m is equal to -10

8 0
2 years ago
Imaginá que tenés 125 dados cúbicos del mismo tamaño ¿Cuantos dados de altura tiene el cubo de mayor tamaño que podés armar apil
kumpel [21]

Answer:

(i) Debemos apilar 5 dados para construir el cubo de mayor tamaño.

(ii) Se necesita 121 dados cuadrados para formar el cuadrado con la mayor cantidad de dados posibles, quedando 4 dados sobrantes.

Step-by-step explanation:

(i) Sabemos por la Geometría Euclídea del Espacio que un cubo es un sólido regular con 6 caras cuadradas y longitudes iguales. Cada dado tiene un volumen de 1 dado cúbico y 125 dados dan un volumen total de 125 dados cúbicos.

El volumen de un cubo está dado por la siguiente fórmula:

V = L^{3}

Donde:

L - Longitud de la arista, medida en dados.

V - Volumen del cubo, medido en dados cúbicos.

Ahora, necesitamos despejar la longitud de la arista para calcular la altura máxima posible:

L = \sqrt[3]{V}

Dado que V = 125\,dados^{3}, encontramos que la altura del cubo de mayor tamaño sería:

L =\sqrt[3]{125\,dados^{3}}

L = 5\,dados

Debemos apilar 5 dados para construir el cubo de mayor tamaño.

(ii) El área cuadrada formada por cubos está determinada por la siguiente fórmula:

A = L^{2}

Donde:

L - Longitud de arista, medida en dados.

A - Área, medida en dados cuadrados.

Puesto que la longitud de arista se basa en un conjunto discreto, esto es, el número de dados disponibles, debemos encontrar el valor máximo de L tal que no supere 125 y de un área entera. Es decir:

L \leq 125\,dados

Si cada cubo tiene un área de 1 dado cuadrado, entonces un cuadrado conformado por 125 dados tiene un área total de 125 dados cuadrados. Entonces:

L^{2}< 125\,dados^{2}

Esto nos lleva a decir que:

L < 11.180\,dados

Entonces, la longitud máxima del cuadrado con la mayor cantidad de cubos posible es de 11 dados. El número total requerido de cubos es el cuadrado de esa cifra, es decir:

n = (11\,dados)^{2}

n = 121\,dados

Se necesita 121 dados cuadrados para formar el cuadrado con la mayor cantidad de dados posibles, quedando 4 dados sobrantes.

4 0
2 years ago
Calculate the value of x to one decimal place. inches
kakasveta [241]

Use the law of cosines: c^2=a^2+b^2-2ab\cos C

We have:

c=x\\a=3in\\b=7in\\C=54^o

substitute:

\cos54^o\approx0.5878\\\\c^2=3^2+7^2-2\cdot3\cdot7\cdot0.5878\\\\c^2=9+49-24.6876\\\\c^2=33.3129\to c=\sqrt{33.3129}\\\\c\approx5.8

5 0
2 years ago
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Alex777 [14]

Answer:

5.75x10^11

Step-by-step explanation:

quotient of 2,300 and (0.4x10^-8) is

2,300 ÷ (0.4x10^-8)

2300 = 2.3x10^3

We now have

2.3x10^3 / 0.4x10^-8

= (2.3/0.4) x ( 10^(3 - (-8))

= 5.75 x (10^(3+8))

= 5.75 x (10^11)

= 5.75x10^11

Please mark brainliest if helpful. Thanks

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Noah fills a soap dispenser from a big bottle that contains 2 13 liters of liquid soap. That amount of soap will fill 3 12 dispe
Harrizon [31]

Answer:

0.68L per dispenser

Step-by-step explanation:

Big bottle contain 213L of soap.

Big bottle will fill 312 dispensers.

This means 1 each dispenser can take 213/312 litres = 0.68L per dispenser.

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2 years ago
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