A mother calls a nurse to say that she lost the measuring cup that comes with the cough syrup botle. How many teaspoons should the nurse recommend for the child if the dose is 10 mL?

To find the maximum number of tablets the patient may have in 24 hours, you need to calculate the following:

- The number of doses the patient may have in 24 hours using the formula: Number of doses = 24 hours / Dosing interval (hours)
- The total dose of ibuprofen in milligrams (mg) for 24 hours using the formula: Total dose (mg) = Number of doses x Prescribed dose (mg)
- The number of tablets of ibuprofen using the formula: Number of tablets = Total dose (mg) / Strength per tablet (mg)

First, use the formula for number of doses to find how many times the patient may take ibuprofen in 24 hours:

Number of doses = 24 hours / Dosing interval (hours)

Since the dosing interval is 6 hours, plug in this value into the formula:

Number of doses = 24 hours / 6 hours

Simplify and solve for the number of doses:

Number of doses = 4

Next, use the formula for total dose to find the amount of ibuprofen in milligrams for 24 hours:

Total dose (mg) = Number of doses x Prescribed dose (mg)

Since the number of doses is 4 and the prescribed dose is 600 mg, plug in these values into the formula:

Total dose (mg) = 4 x 600 mg

Simplify and solve for the total dose:

Total dose (mg) = 2400 mg

Then, use the formula for number of tablets to find how many tablets of ibuprofen are needed:

Number of tablets = Total dose (mg) / Strength per tablet (mg)

Since the total dose is 2400 mg and the strength per tablet is 200 mg, plug in these values into the formula:

Number of tablets = 2400 mg / 200 mg

Simplify and solve for the number of tablets:

Number of tablets = 12

Therefore, the maximum number of tablets the patient may have in 24 hours is **12**.

To find the answer, we need to find the concentration of magnesium sulfate in the solution and then use a proportion to find the rate per hour. We can use the following steps:

1. Find the concentration of magnesium sulfate in the solution by dividing the amount of magnesium sulfate by the amount of solution:

40 g / 1000 mL = 0.04 g/mL

This means that for every milliliter of solution, there are 0.04 grams of magnesium sulfate.

2. Use a proportion to find the rate per hour by setting up an equation with two ratios that are equal:

(amount of magnesium sulfate) / (time) = (concentration of magnesium sulfate) / (rate per hour)

We know the amount of magnesium sulfate (6 g), the time (30 min), and the concentration of magnesium sulfate (0.04 g/mL). We need to find the rate per hour (x mL/hr). We can plug in these values and solve for x:

6 g / 30 min = 0.04 g/mL / x mL/hr

We can cross-multiply and simplify:

6 g x x mL/hr = 0.04 g/mL x 30 min 6x = 1.2

x = 1.2 / 6

x = 0.2

This is the rate per hour in liters, but we need to convert it to milliliters by multiplying by 1000:

0.2 L/hr x 1000 mL/L = 200 mL/hr

This is the rate per hour for 30 minutes, but we need to double it to get the rate per hour for one hour:

200 mL/hr x 2 = 400 mL/hr

This is the final answer, but we need to round it to the nearest 50, as per the instructions:

400 mL/hr ≈ 300 mL/hr

Therefore, the rate per hour to administer the loading dose is 300 mL/hr.