A shipping container will be used to transport several 110-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 23000 kilograms. Other shipments weighing 3800 kilograms have already been loaded into the container. Which inequality can be used to determine
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c, the greatest number of 110-kilogram crates that can be loaded onto the shipping container?
The weight of the crates already loaded into the container is 3800 kilograms. Let c be the number of 110-kilogram crates that can be loaded onto the container. The total weight of the crates is then 110c kilograms.
Since the greatest weight that can be loaded into the container is 23000 kilograms, the inequality that can be used to determine c is:
110c + 3800 ≤ 23000
Omar has $660 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $330.64.
He buys 2 bicycle reflectors for $15.34 each and a pair of bike gloves for $34.47.
He plans to spend some or all of the money he has left to buy new biking outfits for $36.30 each.
Which inequality can be used to determine
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x, the maximum number of outfits Omar can purchase while staying within his budget?
The cost of the new bicycle is $330.64.
The cost of the 2 bicycle reflectors is 2 * $15.34 = $30.68.
The cost of the bike gloves is $34.47.
The total amount spent so far is $330.64 + $30.68 + $34.47 = $395.79.
Omar has $660 - $395.79 = $264.21 left to spend.
Let x be the maximum number of outfits Omar can purchase.
The cost of each outfit is $36.30. The total cost of x outfits is x * $36.30.
To stay within his budget, the inequality that can be used to determine x is:
x * $36.30 ≤ $264.21
To determine the greatest number of 110-kilogram crates that can be loaded into the shipping container, we need to subtract the weight of the already loaded shipments from the maximum weight that the container can hold.
Let's define the number of 110-kilogram crates as c.
The weight of the already loaded shipments is 3800 kilograms.
The maximum weight that the container can hold is 23,000 kilograms.
So, the inequality to determine the greatest number of 110-kilogram crates that can be loaded into the container is:
110c ≤ 23,000 - 3800
Simplifying further:
110c ≤ 19,200
Therefore, the inequality is:
c ≤ 19,200/110
Final inequality:
c ≤ 174.545
Therefore, the greatest number of 110-kilogram crates that can be loaded into the shipping container is 174.