Question

Exercises

Direction: Solve the unit of
measurement to the following problems.


1. If “The Flash” can travel 17000 miles per hour, how many meters per second does he travel? show the solution

2. Mr. Genesis retrieved a bottle from the Chemistry room that contained 15.7 cm³ of a metal. The combined mass of the bottle and the solid is 267.17 g. The empty bottle has mass of 132.62 g. Determine the density of the solid. show the solution



3. Your sister gives birth to identical twins. When the twins are born one weighed 495 less than Kyle. A few days later their weighs were equal due to Kyle’s sickness. If Kyle weighed 3.45 kg at birth , then how much Kevin weighed at birth? show the solution





4. Your niece who is 6 years old was diagnosed with community acquired pneumonia at Chong Hua Hospital. Mr. Vlad who is the resident doctor prescribed the patient Augmetin 250 mg oral suspension for every 12 hrs. The concentration of the oral suspension liquid is 100 mg in 5 mL. How many teaspoons will the doctor teach the nurse to administer each dose. show the solution ​

Answer 1

In the first problem, The Flash travels approximately 75.63 meters per second. The density of the solid in the second problem is 8.567 g/cm³. Kevin weighed 2.955 kg at birth in the third problem. In the fourth problem, the doctor will teach the nurse to administer 12.5 milliliters or teaspoons for each dose of Augmetin 250 mg oral suspension.

Step-by-step explanation:

To solve the first problem, we can convert miles per hour to meters per second. We know that 1 mile is equal to 1609.34 meters and 1 hour is equal to 3600 seconds. Therefore, to convert 17000 miles per hour to meters per second, we can use the following conversion:

17000 miles/hour * 1609.34 meters/mile / 3600 seconds/hour = 75.63333 meters/second. So, 'The Flash' travels at approximately 75.63 meters per second.

For the second problem, we need to find the density of the solid. Density is defined as mass divided by volume. The mass of the solid can be found by subtracting the mass of the empty bottle from the combined mass of the bottle and the solid.

Mass of solid = Combined mass - Empty bottle mass = 267.17 g - 132.62 g = 134.55 g. Density = Mass / Volume = 134.55 g / 15.7 cm³. Density = 8.567 g/cm³. Therefore, the density of the solid is 8.567 g/cm³.

For the third problem, we can set up an equation using the given information. Let's say Kevin's weight at birth is represented by K. We know that Kyle weighed 3.45 kg at birth and one of the twins weighed 495 grams less than Kyle. A few days later, their weights were equal, so we can write the equation:

K + 495 g = 3450 g. Subtracting 495 g from both sides, we get:

K = 3450 g - 495 g = 2955 g. Therefore, Kevin weighed 2955 grams at birth, which is equivalent to 2.955 kg.

For the fourth problem, we need to calculate the number of teaspoons that the nurse will administer for each dose of Augmetin 250 mg oral suspension. We know that the concentration of the oral suspension is 100 mg in 5 mL.

First, we need to find the concentration of the oral suspension in mg/mL. We can do this by dividing the concentration in mg by the volume in mL:

Concentration = 100 mg / 5 mL = 20 mg/mL. Next, we need to find the number of milligrams in each dose of Augmentin:

Dose = 250 mg. Finally, we can calculate the number of teaspoons needed:

Teaspoons = Dose / Concentration = 250 mg / 20 mg/mL = 12.5 mL. Therefore, the doctor will teach the nurse to administer 12.5 milliliters or teaspoons for each dose of Augmetin 250 mg oral suspension.