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Rashid [163]
3 years ago
6

A factory wants to redesign a box that will hold twice as many unit cubes add a box that measures 2 by 3 by 4 unit cubes.What ar

e the dimensions of the redesigned box?
Mathematics
1 answer:
iragen [17]3 years ago
8 0

finding the volume of cube is equal to 2 × 3 × 4

so

v of cubes is 24

now

twice of it is 2 ×24

48

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En el estante de un negocio hay 2 tipos de tarros de la misma mermelada y marca. El tarro más alto tiene el doble de altura que
Ipatiy [6.2K]

Answer:

tarro corto

Step-by-step explanation:

Aquí tenemos que comprar el frasco que tiene el menor costo por volumen.

h_1 = Altura del frasco corto

h_2 = La altura del frasco alto es el doble que el del frasco corto. = 2h_1

d_1 = Diámetro del frasco corto

d_2 = El diámetro del frasco alto es la mitad del frasco corto = \dfrac{1}{2}d_1

El volumen de un cilindro es \pi \dfrac{d^2}{4}h

La razón de los volúmenes de los frascos es

\dfrac{V_1}{V_2}=\dfrac{\pi\dfrac{d_1^2}{4}h_1}{\pi\dfrac{d_2^2}{4}h_2}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{d_2^2h_2}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{(\dfrac{1}{2}d_1)^22h_1}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{\dfrac{1}{4}d_1^22h_1}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{1}{\dfrac{1}{2}}\\\Rightarrow \dfrac{V_1}{V_2}=2\\\Rightarrow V_1=2V_2

El costo del frasco corto por unidad de volumen es

\dfrac{8000}{V_1}=\dfrac{8000}{2V_2}=\dfrac{4000}{V_2}

El costo del frasco alto por unidad de volumen es

\dfrac{4500}{V_2}=\dfrac{4500}{V_2}

\dfrac{4000}{V_2}

Entonces, el costo del frasco corto por unidad de volumen es menor que el costo por unidad de volumen del frasco alto.

Por lo tanto, deberíamos tomar el frasco corto.

5 0
3 years ago
Reduce in standard form -3/-15​
andriy [413]

Answer:

1/5? 0.2?

Step-by-step explanation:

5 0
3 years ago
What is a point-slope equation of the line with slope -10 that goes through the point (1,4)
KatRina [158]
\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad \qquad \qquad 
% slope  = m
slope =  m\implies -10
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-4=-10(x-1)
8 0
3 years ago
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24 dived by 7=what is the remainder
motikmotik
3 is the remainder because the closest is 7 times 21 so it’s remainder 3
7 0
4 years ago
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What is the solution set to the equation (2x−4)(4x−5)=0?
STALIN [3.7K]
Answer: A. (5/4, 2)
Explanation:
2x-4=0
4x-5=0

2x=4
4x=5

x=2
x= 5/4
3 0
3 years ago
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