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zhannawk [14.2K]
3 years ago
6

Tammy figured her math exam would be difficult unless she put in at

Mathematics
1 answer:
Ludmilka [50]3 years ago
6 0

Answer: No, she did not study for at least 15 hours.

=======================================================

Explanation:

Fractions are often a pain, so I find it easier to convert to decimal form whenever possible.

1/2 = 0.5

3/4 = 0.75

which lead to,

2 & 1/2 = 2 + 1/2 = 2 + 0.5 = 2.5

4 & 3/4 = 4 + 3/4 = 4 + 0.75 = 4.75

4 & 1/2 = 4 + 1/2 = 4 + 0.5 = 4.5

-----------------------------

We can then rephrase the problem like so:

"She studied 2.5 hours on Monday, 3 hours on Tuesday, 4.75 hours on Wednesday, and 4.5 hours on Thursday"

Add up those decimal values to get:

2.5 + 3 + 4.75 + 4.5 = 14.75

In total, Tammy studied for 14.75 hours, which is equivalent to 14 & 3/4 hours.

This result is smaller than 15, so she did <u>not</u> study for at least 15 hours.

Note: "at least 15" is the same as saying "15 or more".

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The total milligrams of levonorgestrel is:

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In which E_{1},E_{2} and E_{3} are the number of miligrams of ethinyl estradiol taken in each phase.

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Phase 1: 6 tablets, each containing 0.050 mg of levonorgestrel and 0.030 mg ethinyl estradiol

In this phase,

6*0.050mg = 0.30mg of levonorgestrel and 6*0.030mg = 0.18mg of ethinyl estradiol are taken.

So L_{1} = 0.30 and E_{1} = 0.18

Phase 2: 5 tablets, each containing 0.075 mg of levonorgestrel and 0.040 mg ethinyl estradiol

In this phase,

5*0.075mg = 0.375mg of levonorgestrel and 5*0.040mg = 0.20mg of ethinyl estradiol are taken.

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Phase 3: 10 tablets, each containing 0.125 mg of levonorgestrel and 0.030 mg ethinyl estradiol

In this phase,

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So L_{3} = 1.25 and E_{3} = 0.30

The total milligrams of levonorgestrel is:

L = L_{1} + L_{2} + L_{3} = 0.30 + 0.375 + 1.25 = 1.925

The total milligrams of ethinyl estradiol is:

E = E_{1} + E_{2} + E_{3} = 0.18 + 0.20 + 0.30 = 0.68

1.925mg of levonorgestrel and 0.68mg of ethinyl estradiol are taken during the 28-day period.

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