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allochka39001 [22]
3 years ago
6

30.28 kg of beef were placed into 24 packages of equal weight. What is the weight of one package of beef? Please show your work.

Mathematics
1 answer:
klemol [59]3 years ago
5 0

Answer:

1.26kg per package

Step-by-step explanation:

30.28/24= 1.2616...

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A soup can in the shape of a right circular cylinder is to be made from two materials. The material for the side of the can cost
Advocard [28]

Answer:

Radius = 1.12 inches and Height = 4.06 inches

Step-by-step explanation:

A soup can is in the shape of a right circular cylinder.

Let the radius of the can is 'r' and height of the can is 'h'.

It has been given that the can is made up of two materials.

Material used for side of the can costs $0.015 and material used for the lids costs $0.027.

Surface area of the can is represented by

S = 2πr² + 2πrh ( surface area of the lids + surface are of the curved surface)

Now the function that represents the cost to construct the can will be

C = 2πr²(0.027) + 2πrh(0.015)

C = 0.054πr² + 0.03πrh ---------(1)

Volume of the can = Volume of a cylinder = πr²h

16 = πr²h

h=\frac{16}{\pi r^{2}} -------(2)

Now we place the value of h in the equation (1) from equation (2)

C=0.054\pi r^{2}+0.03\pi r(\frac{16}{\pi r^{2}})

C=0.054\pi r^{2}+0.03(\frac{16}{r})

C=0.054\pi r^{2}+(\frac{0.48}{r})

Now we will take the derivative of the cost C with respect to r to get the value of r to get the value to construct the can.

C'=0.108\pi r-(\frac{0.48}{r^{2} })

Now for C' = 0

0.108\pi r-(\frac{0.48}{r^{2} })=0

0.108\pi r=(\frac{0.48}{r^{2} })

r^{3}=\frac{0.48}{0.108\pi }

r³ = 1.415

r = 1.12 inch

and h = \frac{16}{\pi (1.12)^{2}}

h = 4.06 inches

Let's check the whether the cost is minimum or maximum.

We take the second derivative of the function.

C"=0.108+\frac{0.48}{r^{3}} which is positive which represents that for r = 1.12 inch cost to construct the can will be minimum.

Therefore, to minimize the cost of the can dimensions of the can should be

Radius = 1.12 inches and Height = 4.06 inches

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3 years ago
What is the equivalent expression for 4(x + 5)
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The equivalent expression is 4x + 20
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2 years ago
Help me please<br> thx so much<br> have a good one
vovikov84 [41]

Answer:

what grade r u in cause I have never seen that or I would help u out

3 0
3 years ago
What is 75% of 180?​
OverLord2011 [107]

Hello There!

75% of 180 is 135.

Converting Percent To Decimal.

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3 0
3 years ago
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Decrease £600 by 20%
Tpy6a [65]
The answer would be £480 because 20% of 600 is 120 and 600 take away 120 is 480
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