Question 1

Divide:

Accepted Answer

The given number, 11eb99e3_8046_c72a_bdc5_17761e835fd0_TB8826_11, is not a recognizable or standard numerical format. Therefore, we cannot perform a mathematical division with it. As a result, the answer is not any of the given choices A, B, D, or E. 
The only feasible option remaining is C, 6.5, which is the midpoint between the two closest choices of A and D. However, since we cannot perform any calculations with the given number, it is impossible to say for certain what the correct answer is. Therefore, the only reasonable choice is C as the best guess.

Question 2

A popular sleeping pill contains 0.029 gram of diphenhydramine hydrochloride. If a patient takes a sleeping pill every day for a week, how much diphenhydramine hydrochloride does the patient ingest during the week?

Accepted Answer

The patient ingests 0.029 gram of diphenhydramine hydrochloride per day. Over a week (7 days), the total ingested amount is 0.029 gram/day * 7 days = 0.203 gram.

Question 3

Divide. Round your answer to the nearest hundredth. $13.511 \div 0.03$

Accepted Answer

To divide $13.511 \div 0.03$, you perform the division operation which gives $450.3666...$. Rounding to the nearest hundredth gives 450.37.

Question 4

A doctor is required by law to destroy all inactive medical files that are 7 years old or older. Find the cost to destroy 85 pounds of medical records at a cost of $7.47 per pound.

Accepted Answer

To calculate the cost, we need to multiply the weight of the records (85 pounds) by the cost per pound ($7.47):

85 x $7.47 = $634.95

Therefore, the answer is C) $634.95.

Question 5

Divide:

Accepted Answer

The answer of Divide: 
...

Question 6

An electric motor costing $301.85 has an operating cost of $0.027 for 1 hour of operation. Find the cost to run the motor for 40 hours, to the nearest penny.

Accepted Answer

The answer of An electric motor costing $301.85 has an...

Question 7

Divide: $89.06 \div 10$

Accepted Answer

Dividing a number by 10 moves its decimal point one place to the left, making 89.06 become 8.906.

Question 8

Divide:

Accepted Answer

The answer of Divide: 
...

Question 9

Divide. Round your answer to the nearest tenth. $51.09 \div 67$

Accepted Answer

51.09 divided by 67 equals approximately 0.7625, which rounds to 0.8 when rounded to the nearest tenth. However, none of the options match this, indicating a possible error in the options provided.

Question 10

The perimeter of a square is equal to four times the length of a side of the square. Find the perimeter of a square whose side measures 2.7 meters.

Accepted Answer

The perimeter of a square is the sum of the lengths of all four sides. 
Let's call the length of one side of the square "s". 
According to the problem, the perimeter (P) is equal to 4 times s.
So, P = 4s
We know that the length of one side of the square is 2.7 meters, so s = 2.7m. 
Substitute s = 2.7m into the equation P = 4s
P = 4(2.7m) = 10.8m

Therefore, the perimeter of the square whose side measures 2.7m is 10.8m. The answer is C.

Question 11

Divide. Round your answer to the nearest whole number. $9.495 \div 0.192$

Accepted Answer

The answer of Divide. Round your answer to the nearest...

Question 12

A local family medical clinic offers pediatric flu vaccinations to its patients 6 months old and older. The clinic pays a federal excise tax of $0.73 per vaccination. (Source: CDC Vaccine Price List) Find the total tax if 192 vaccines were given this month.

Accepted Answer

Total tax paid = (Number of vaccinations) x (Tax per vaccination)
                  = 192 x 0.73
                  = $140.16
Therefore, the answer is choice C.

Question 13

Divide: $927.531 \div 100$

Accepted Answer

Dividing by 100 moves the decimal point two places to the left, making 927.531 become 9.27531.

Question 14

A nurse earns a salary of $1193 for a 40-hour week. This week the nurse worked 13 hours of overtime at a rate of $44.74 for each hour of overtime worked. 
a. Find the nurse's overtime pay.
b. Find the nurse's total income for the week.

Accepted Answer

The nurse's overtime pay is calculated as 13 hours multiplied by $44.74, which equals $581.62. The total income for the week is the regular salary of $1193 plus the overtime pay of $581.62, totaling $1774.62.

Question 15

Bay Area Rental Cars charges $13 a day and $0.14 per mile for renting a car. You rented a car for 4 days and drove 303 miles. Find the total cost of renting the car.

Accepted Answer

The total cost includes the daily charge and the charge per mile. For 4 days, the charge is 4 * $13 = $52. For 303 miles, the charge is 303 * $0.14 = $42.42. Adding these together gives $52 + $42.42 = $94.42.

Question 16

You bought a car for $4000 down and made payments of $492.67 for 48 months. 
a. Find the amount of the payments over the 48 months.
b. Find the total cost of the car.

Accepted Answer

a. The amount of the payments over 48 months can be found by multiplying the monthly payment by the number of months:

$492.67/month x 48 months = $23,648.16

b. The total cost of the car can be found by adding the down payment and the amount paid over 48 months:

$4000 + $23,648.16 = $27,648.16

Therefore, the answer is D: (a) $23,648.16; (b) $27,648.16.

Question 17

Divide. Round your answer to the nearest hundredth. $75.56 \div 87.8$

Accepted Answer

When you divide 75.56 by 87.8, the result is approximately 0.8605, which rounds to 0.86 when rounded to the nearest hundredth.

Question 18

Divide:

Accepted Answer

The answer of Divide: 
...

Question 19

Divide. Round your answer to the nearest thousandth. $62.48 \div 62.2$

Accepted Answer

The answer of Divide. Round your answer to the nearest...

Question 20

Divide:

Accepted Answer

The easiest way to divide this number is to convert it to scientific notation:

1.1 x 10^36 / 2.6 x 10^14

Now we can divide the coefficients:

1.1 / 2.6 = 0.4230769...

Since we only need one decimal place, we round this to 0.4.

Now we can subtract the exponents (remembering to change the sign because we are dividing):

10^36-(-14) = 10^50

Putting it all back together, we get:

0.4 x 10^50

Which is equivalent to:

4 x 10^49

The answer closest to this is B, 4.5.

Quiz 3: Decimals

Divide:

A popular sleeping pill contains 0.029 gram of diphenhydramine hydrochloride. If a patient takes a sleeping pill every day for a week, how much diphenhydramine hydrochloride does the patient ingest during the week?

Divide. Round your answer to the nearest hundredth. 13.511÷0.0313.511 \div 0.0313.511÷0.03

A doctor is required by law to destroy all inactive medical files that are 7 years old or older. Find the cost to destroy 85 pounds of medical records at a cost of $7.47 per pound.

Divide:

An electric motor costing $301.85 has an operating cost of $0.027 for 1 hour of operation. Find the cost to run the motor for 40 hours, to the nearest penny.

Divide: 89.06÷1089.06 \div 1089.06÷10

Divide:

Divide. Round your answer to the nearest tenth. 51.09÷6751.09 \div 6751.09÷67

The perimeter of a square is equal to four times the length of a side of the square. Find the perimeter of a square whose side measures 2.7 meters.

Divide. Round your answer to the nearest whole number. 9.495÷0.1929.495 \div 0.1929.495÷0.192

A local family medical clinic offers pediatric flu vaccinations to its patients 6 months old and older. The clinic pays a federal excise tax of $0.73 per vaccination. (Source: CDC Vaccine Price List) Find the total tax if 192 vaccines were given this month.

Divide: 927.531÷100927.531 \div 100927.531÷100

A nurse earns a salary of $1193 for a 40-hour week. This week the nurse worked 13 hours of overtime at a rate of $44.74 for each hour of overtime worked. a. Find the nurse's overtime pay. b. Find the nurse's total income for the week.

Bay Area Rental Cars charges $13 a day and $0.14 per mile for renting a car. You rented a car for 4 days and drove 303 miles. Find the total cost of renting the car.

You bought a car for $4000 down and made payments of $492.67 for 48 months. a. Find the amount of the payments over the 48 months. b. Find the total cost of the car.

Divide. Round your answer to the nearest hundredth. 75.56÷87.875.56 \div 87.875.56÷87.8

Divide:

Divide. Round your answer to the nearest thousandth. 62.48÷62.262.48 \div 62.262.48÷62.2

Divide:

Divide. Round your answer to the nearest hundredth. $13.511 \div 0.03$

Divide: $89.06 \div 10$

Divide. Round your answer to the nearest tenth. $51.09 \div 67$

Divide. Round your answer to the nearest whole number. $9.495 \div 0.192$

Divide: $927.531 \div 100$

Divide. Round your answer to the nearest hundredth. $75.56 \div 87.8$

Divide. Round your answer to the nearest thousandth. $62.48 \div 62.2$