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Mariana [72]
2 years ago
5

If there are 15 pistachios for every 5 bowls, how many pistachios are in 4 bowls

Mathematics
2 answers:
Pani-rosa [81]2 years ago
7 0

Answer:

12 pistachios

Step-by-step explanation:

We need to find the unit rate. So we divide 5 from 15.

15/5=3

So we know that 1 bowl has 3 pistachios(which I think needs more).

Now we need to find how many pistachios are in 4 bowls. Which means we multiply 4 and 3.

4x3=12

So there are 12 pistachios in 4 bowls.

---

hope it helps

Nuetrik [128]2 years ago
4 0

Answer: 12

you divide 15 by to get 12 r 3

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Suppose that you take 120 mg of an antibiotic every 4 hr. The​ half-life of the drug is 4 hr​ (the time it takes for half of the
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Answer:

The steady state amount of antibiotic in the bloodstream when t --> ∞ is 240 mg.

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Let the amount of antibiotic in one's bloodstream be given as Aₙ (where n = the number of half lives since the start of usage)

Let's follow the time line of events.

At t = 0 hr, the drug is taken

A₀ = 120 mg

At t = 4 hrs, n = 1, the drug is taken again

A₁ = (0.5×A₀) + 120

A₁ = (0.5×120) + 120 = 180 mg

At t = 8 hrs, n = 2, the drug is taken again,

A₂ = (0.5×A₁) + 120

A₂ = (0.5×180) + 120 = 210 mg

At t = 12 hrs, n = 3, the drug is taken again

A₃ = (0.5×A₂) + 120

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At this point, it becomes evident that at t = 4n hrs, n = n i.e. n half lives later, the general formula for the amount of the antibiotic in the bloodstream is

Aₙ = 0.5Aₙ₋₁ + 120

where Aₙ₋₁ = The amount of antibiotic in the bloodstream at the time t = 4(n-1) and (n-1) half lives later.

For infinite series, that are increasing in this order, as the value of n --> ∞,

Aₙ = Aₙ₋₁ = K

And our general formula becomes

K = 0.5K + 120

0.5K = 120

K = (120/0.5)

K = 240 mg

Hence, the steady state amount of antibiotic in the bloodstream when t --> ∞ is 240 mg.

Hope this Helps!!!

5 0
3 years ago
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