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Nuetrik [128]
2 years ago
5

If coal is mined at $35.99 per short ton, how much is the price per kg? Use dimensional analysis to solve. 1 short ton = 907 kg.

Round to the thousandths place and include units in your answer.
Mathematics
1 answer:
cricket20 [7]2 years ago
3 0

The cost of 1kg of coal mined from the ore is $0.0397

Data;

  • 1 ton = $35.99
  • 1kg = ?

<h3>The Cost of 1kg of Coal</h3>

To find the cost of 1kg of coal, we can simply and equate 1 ton to its equivalent in ton and the solve.

1ton = 907kg\\

let's write this and equate it

1 ton = $35.99

907kg = $35.99

1kg = x

Let's cross multiply both sides and solve for x

907kg = \$35.99\\1kg = x\\x = \frac{1 * 35.99}{907} \\x = \$0.0397

The cost of 1kg of coal is $0.0397

Learn more on proportions here;

brainly.com/question/870035

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jenyasd209 [6]

The total volume of the 40 sphere shaped water balloons is 46032.38 cubic cm.

Radius of 1 sphere = 6.5 cm

We know that the volume of the sphere is given by 4/3 π r³

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Now we will find the volume : 4/3 ×22/7×6.5³ = 1150.81 cubic cm.

Volume of 40 such spheres = 40 × 1150.81 = 46032.38 cubic cm.

The radius of all the spheres are 46032.38 cubic cm.

A sphere is a geometrical entity with three dimensions that resembles a two-dimensional circle. A sphere is a group of points in three dimensions that are all situated at the same r-distance from one another.

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Therefore total volume of the 40 sphere shaped water balloons is 46032.38 cubic cm .

Disclaimer: The complete question is : Maggie and Amelia filled up 40 water balloons shaped like spheres. Each water balloon had a radius of 6.5 cm.​Find the total volume of water required.

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Step-by-step explanation:

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3 years ago
<img src="https://tex.z-dn.net/?f=2x%28x%20-%202%29%5E%7B2%7D%20%20%2B%203x%28x%20%2B%203%29%5E%7B2%7D%20%20-%20x%5E%7B2%7D%20%2
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= x(4x² + 15x + 35)

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