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3 years ago

Jasmine ran 5 miles in 42.5 minutes. Caroline ran 3 miles in 26.4 minutes. Who ran at a faster pace?

Mathematics

1 answer:

nordsb [41]3 years ago

3 0

Answer:

Step-by-step explanation:

For this problem, let us find the respective speeds of Jasmine and Caroline and compare the two. All we have to do is divide #minutes by #miles to find the time spent per <u>one</u> mile.

Jasmine:

$\frac{42.5}{5} =\\\\$

$8.5$ minutes per mile

Caroline:

$\frac{26.4}{3} =\\$

$8.8$ minutes per mile

Since Caroline takes longer to run a mile than Jasmine, We now know that Jasmine ran at a faster pace:

$8.8-8.5=0.3$

<u>B. Jasmine ran at a faster pace because she ran 0.3 minutes faster per mile.</u>

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<em>I hope this helps! Let me know if you hae any questions :)</em>

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A cold tablet contains the following amounts of active ingredients: acetaminophen 325 mg, chlorpheniramine maleate 2 mg, and dex

kakasveta [241]

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The number of tablets that can be prepared is 3076.

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The total amount of active ingredients in the tablet is the sum of the amounts provided in the formula:

$325 mg + 2mg+15 mg=342 mg$

The percentages of each component in the formula are:

Acetaminophen: $\frac{325mg*100}{342mg}=95.03$ %

Chlorpheniramine maleate: $\frac{2mg*100}{342mg} =0.58$ %

Dextromethorphan hydrobromide: $\frac{15mg*100}{342mg}=4.39$ %

If 1 Kg= $10^{6}$ mg of acetaminophen is used, the needed amount of chlorpheniramine maleate would be:

$\frac{10^{6} mg *0.58}{95.03}=6153.85 mg$

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:

$\frac{10^{6}mg*100}{95.03}=1052307.7mg$