Question 1

The cost of a 130-ounce container of massage therapy gel is 66.65. Determine the cost per ounce. Round to the nearest cent.

Accepted Answer

To find the cost per ounce, divide the total cost by the number of ounces: $66.65 / 130 ounces = $0.5127, which rounds to $0.51 per ounce.

Question 2

Micah owns 240 shares of stock in his sister's company. The company declares a stock split of 6 shares for every 3 owned. How many shares of stock will Micah own after the stock split?

Accepted Answer

A 6-for-3 stock split means Micah will receive 6 shares for every 3 shares he owns. Therefore, he will have (240 shares * 6/3) = 480 shares after the split.

Question 3

A pharmacist suspends a mixture of cefaclor using 50 milliliters of fluid. Each dose of cefaclor is 160 milligrams per 2 milliliters. If the patient is told to take all of the medication in the bottle during the next week, find the total number of milligrams of cefaclor the patient will consume.

Accepted Answer

The total milligrams of cefaclor can be calculated by first determining the milligrams per milliliter, which is 160 mg / 2 mL = 80 mg/mL. Since there are 50 mL of fluid, the total milligrams of cefaclor is 50 mL * 80 mg/mL = 4000 milligrams.

Question 4

Fifty shares of a healthcare stock pay a dividend of 63.1. At the same rate, what is the dividend paid on 600 shares of the healthcare stock?

Accepted Answer

The answer of Fifty shares of a healthcare stock pay...

Question 5

A newspaper survey showed that 2 out of every 5 eligible voters did vote in the town election. At this rate, how many people in a town of 450,000 eligible voters voted in the election?

Accepted Answer

If 2 out of every 5 eligible voters voted, this means that the fraction of eligible voters who voted is 2/5. To find out how many voters this represents in a town of 450,000 eligible voters, we can multiply:

2/5 * 450,000 = 180,000

Therefore, 180,000 people in the town voted in the election. Option D is the correct choice.

Question 6

One state's requirement for minimum staffing levels mandates a ratio of one nurse for every three patients in a pediatric unit. Under these guidelines, how many nurses are required to be on duty if there are 12 patients in the pediatric unit?

Accepted Answer

The requirement is one nurse for every three patients. For 12 patients, 12 divided by 3 equals 4, so 4 nurses are required.

Question 7

Samantha can buy $10,000 of life insurance for $34.68 per month. At this rate, what is the monthly cost of $30,000 of life insurance?

Accepted Answer

The cost of life insurance scales linearly with the amount of coverage. If $10,000 of coverage costs $34.68, then $30,000 (which is three times $10,000) would cost three times as much. Therefore, $34.68 * 3 = $104.04.

Question 8

The dosage of a certain medication is $\frac { 1 } { 6 }$ ounce for every 52 pounds of body weight. How many ounces of this medication are required for a person who weighs 170 pounds? Write the answer as a decimal.

Accepted Answer

The answer of The dosage of a certain medication is...

Question 9

You need to prepare a saline solution with a concentration of 2.18 grams of salt in 250 milliliters of distilled water. How much solution can you produce with 4.5 grams of salt?

Accepted Answer

To prepare a solution with a concentration of 2.18 grams of salt in 250 milliliters of water, the ratio of salt to water is 2.18:250. With 4.5 grams of salt, the amount of solution produced can be calculated using the proportion 2.18/250 = 4.5/x, solving for x gives x = (4.5 * 250) / 2.18 = 516.055 milliliters.

Question 10

There are 500 calories in $\frac { 1 } { 4 }$ cup of cake flour. How many calories are in $4$ $\frac { 1 } { 8 }$ cups of cake flour?

Accepted Answer

The answer of There are 500 calories in \(\frac {...

Question 11

Write, as a fraction in simplest form, the ratio of 41650 miles of blood vessels in the human body to 85 miles of nerve cells.

Accepted Answer

The ratio of 41650 miles of blood vessels to 85 miles of nerve cells simplifies to $\frac{41650}{85} = \frac{2450}{5}$, which is option E.

Question 12

The total nurse staffing hours per resident day at a local nursing home averaged 3.66 hours per resident day. If there are 60 residents in this nursing home, how many total nurse staffing hours are needed per resident day?

Accepted Answer

To find the total nurse staffing hours needed per resident day, we can multiply the number of residents by the average nurse staffing hours per resident day:
60 residents x 3.66 hours/resident day = 219.6 nurse staffing hours per resident day. Therefore, the best choice is C, 219.6 nurse staffing hours.

Question 13

A research scientist estimates that the human body contains 238 pounds of water for every 119 pounds of body weight. At this rate, estimate the number of pounds of water in a college student who weighs 102 pounds.

Accepted Answer

The correct answer is A. To estimate the number of pounds of water in a college student who weighs 102 pounds, we can use the ratio of water to body weight: 238 pounds of water for every 119 pounds of body weight.So, for a 102-pound student, the number of pounds of water would be:(238/119) * 102 = 204 pounds (rounded to the nearest whole number)

Question 14

A prescription-strength medication contains 250 milligrams of acetaminophen in each tablet. If a patient takes two tablets two times a day for three days, how many milligrams of acetaminophen has the patient ingested?

Accepted Answer

The patient takes 2 tablets twice a day, which is 4 tablets per day. Each tablet contains 250 mg, so 4 tablets contain 1000 mg. Over 3 days, the patient ingests 3000 mg (1000 mg/day * 3 days).

Question 15

A doctor prescribe 400 milligrams of ibuprofen two times a day for a patient with arthritis. The strength of the liquid form of ibuprofen is 100 milligrams/2 milliliters of liquid. How many milliliters of liquid should be consumed by the patient for a single dose? How many milliliters will be consumed in a single day?

Accepted Answer

For a single dose of 400 milligrams, given the strength is 100 milligrams per 2 milliliters, the patient needs 400 / 100 * 2 = 8 milliliters. Since the patient takes this dose twice a day, the total daily consumption is 8 * 2 = 16 milliliters.

Question 16

As a lab technician, you need to make an alcohol solution that has a dilution ratio of $\frac { 1 } { 80 }$ . If you have 3.1 milliliters of alcohol, how much of this solution can you make?

Accepted Answer

The answer of As a lab technician, you need to...

Question 17

A patient is advised to lose 20 pounds in order to reach a healthy weight. During the next month, the patient loses 1 $\frac { 1 } { 2 }$ pounds the first week, 2 $\frac { 3 } { 4 }$ pounds the second week, 3 pounds the third week, and 4 $\frac { 3 } { 4 }$ pounds the fourth week. How many more pounds does the patient need to lose in order to reach the goal of a 20-pound loss?

Accepted Answer

The patient lost a total of 1.5 + 2.75 + 3 + 4.75 = 12 pounds. To reach a 20-pound loss, the patient needs to lose 20 - 12 = 8 more pounds.

Question 18

There are 104 calories in $\frac { 1 } { 3 }$ cup of long-grain brown rice. How many calories are in 1 cups of long-grain brown rice?

Accepted Answer

To find the calories in 1 cup, multiply the calories in $\frac{1}{3}$ cup by 3: $104 \times 3 = 312$ calories.

Question 19

A unit of blood contains 390 milliliters. If a unit of blood is infused over a 3-hour period, find the infusion rate in milliliters per hour.

Accepted Answer

To find the infusion rate in milliliters per hour, divide the total volume of blood (390 milliliters) by the total time (3 hours): 390 milliliters / 3 hours = 130 milliliters/hour.

Question 20

If 25 milliliters of alcohol is mixed with 1250 milliliters of water, what is the dilution ratio, in simplest form, of this solution?

Accepted Answer

The answer of If 25 milliliters of alcohol is mixed...

Quiz 4: Ratio and Proportion