Acertain medication is prescribed as 1 teaspoon/ 10 kilogram body weight/day. how long will a 100 milliliter bottle of medication last for 44 pound patient?

Hi there!

Here's the important information we know :

1 teaspoon → 10 kg (per day)

First, you need to transform teaspoons in milliliters and kilograms in pounds :

1 teaspoon = 4.92892 mL

1 kg = 2.20462 pounds

10 kg = X pounds

2.20462 × 10 = X pounds

22.0462 = pounds

So the information we knew before in teaspoon and kg is now transformed as :

4.92892 mL → 22.0462 pounds

If a patient is 44 pounds, let's see how much mL he needs in a day using the cross product method :

4.92892 mL → 22.0462 pounds

X mL             → 44 pounds

(4.92892 × 44) ÷ 22.0462 = X mL

216.87248 ÷ 22.0462 = X mL

9.8371819 = X mL

Which means that for a 44 pound patient, he'll need 9.8371819 mL per day.

If he has a bottle of 100 mL of medication and uses 9.8371819 mL of it per day, how long will the bottle last him?

100 mL ÷ 9.8371819 mL = Number of days the bottle will last him

10.165513 = Number of days the bottle will last him

Your answer : A bottle of 100mL would last 10 days for a 44 pound patient who needs to take 1 teaspoon of medication per kilogram per day.

There you go! I really hope this helped, if there's anything just let me know! :)

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this