Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three
centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width.
The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height.
Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.
The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height.
Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.
2 answers:
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Answer:
The number of tablets that can be prepared is 3076.
Step-by-step explanation:
The total amount of active ingredients in the tablet is the sum of the amounts provided in the formula:
The percentages of each component in the formula are:
Acetaminophen:%
Chlorpheniramine maleate:%
Dextromethorphan hydrobromide:%
If 1 Kg= mg of acetaminophen is used, the needed amount of chlorpheniramine maleate would be:
Since there are 125 g = 125000 mg of chlorpheniramine maleate, there is enough of these ingredient to run the available acetaminophen out. Thus, the total amount of active ingredients that can be prepared with 1 kg of acetaminophen is:
Since each tablet weighs 342 mg, the number of tablets that can be prepared is:
Which means that 3076 tablets can be prepared and a there will be a remanent of 0.923*342 mg = 315.69 mg of active ingredients.