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.

Question

2 years ago

5

Round to the thousandths place and include units in your answer.

1 answer:

cricket20 [7] · Answer 1 · 2022-12-01T00:37:33+03:00

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

Data;

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

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