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2 years ago

What is the product of 5/12 and 8/15

Mathematics

1 answer:

Nadusha1986 [10]2 years ago

6 0

Answer: 2/9

Step-by-step explanation:

Simplify the expression.

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Sarah has been running a dog-walking business since 2010. She walks dogs twice a day, takes them to the park, and returns them t

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For A, you wanna look at $350 and $750 and find out how much her pay increased from 2010 to 2014.
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3 years ago

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

David drove 135 miles in 3 hours

Lady_Fox [76]

135 miles in 3 hours = 135 / 3 = 45 miles per hour

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3 years ago

PLSSS HELPP SOOON BRAINLIESTTT

garik1379 [7]

Answer:

1: A) 12 meters

2: B) 225 = (12 + x)(14 + x)

Step-by-step explanation:

42 times 2 = 84

84/12 = 7

(To check) 12 - 7 = 5

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3 years ago

HELPPP ME FIND THE LETTER CODE PLEASE I DONT WANNA FAIL SUMMER SCHOOL

Arlecino [84]

Answer:

Ian SomerhalderHappy “3rd” Birthday to our smart, energetic, lively and mischievous Carmelo!!!

In these three short years, this little boy has brought so much joy to all of our lives. The one that makes sure we all get our cardio workout in everyday because of his inquisitive self. I would not have it any other way!! Carmelo, thank you for making us COMPLETE! ❤️ May God bless you every day of your life my son!

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2 years ago

What is the product of 5/12 and 8/15​

What is the product of 5/12 and 8/15