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NemiM [27]
3 years ago
6

Use algebraic rules of equations to predict the solution type to the system of equations. Include all of your work for full cred

it. x + 2y = 10 6y = -3x + 30
Mathematics
1 answer:
stira [4]3 years ago
3 0

Answer: infinitely many solutions

Step-by-step explanation: 6y = -3x + 30 rewrites to 3x + 6y = 30

1. align equations x + 2y = 10

                           3x + 6y = 30

2. multiply first equation by -3 to get -3x - 6y = -30

3. align equations -3x - 6y = -30

                               3x + 6y = 30

4. add the equations and you they cancel out, which means infinitely many solutions

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When doctors prescribe medicine, they must consider how the drug’s effectiveness declines as time passes. If each hour a drug is
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<u>The total time for the initial dose of 500 mg to reach a level of 150 mg is approximately 11 hours and 27 minutes </u>

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Initial dose = 500 mg

Let's calculate the effectiveness of the drug hour by hour, this way:

After 1 hour: 90% of 500 = 450 mg

After 2 hours: 90% of 450 = 405 mg

After 3 hours: 90% of 405 = 364.5 mg

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After 6 hours: 90% of 295.25 = 265.73 mg

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Time to reach a level of 150 mg in minutes after 11 hours = (156.92-150)/0.262

Time to reach a level of 150 mg in minutes after 11 hours = 26.4

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