Which of the following values is the greatest?

A. 9/2

B. 4.4

C. 10/3

D. 4.25

Answer Explanation:

The initial step is to convert the decimal numbers into fractions.

4.4 becomes 44/10

4.25 becomes 425/100

Thus, the set of fractions is 9/2, 44/10, 10/3, 425/100. The least common denominator for 2, 10, 3, and 100 is 300, which we use to compare each options given.

9/2*300=1350

44/10*300=1320

10/3*300=1000

425/100*300=1275

From the above, 1350 is the greatest value which corresponds to 9/2. Thus, 9/2 is the greatest value of all the choices given.

Therefore, the Correct Answer is A.

Q #1: One gallon of cleaning solution requires 6 oz of ammonia. If the maintenance department needs 120 gallons of solution to clean all of the floors, how much ammonia is needed?

A. 20 gallons

B. 720 gallons

C. 20 oz

D. 720 oz

Answer Explanation

we use given information to find how much ammonia is need to make the specified solution.

We are told, one gallon of cleaning solution requires 6 oz of ammonia. In other words, we can express this as:

1 gallon of solution6 oz of ammonia

Or

6 oz of ammonia1 gallon of solution

Since we are needed to find how much ammonia is needed, we use the second option to find how much ammonia is required by 120 gallons of solution.

From the above equation, gallon of solution will cancel, and oz of ammonia is left.

Therefore, the solution will require 720 oz of ammonia.
Q #2: A recipe calls for 2.5 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?

A. 5.33 mL

B. 12.325 mL

C. 7.43 mL

D. 0.507 mL

Answer Explanation

We need to find how many mL are in 2.5 teaspoons. We need to use dimensional analysis to solve this problem as follows.

Converting between teaspoon and mL uses the following conversions:

Or

We want to end up with mL, we utilize the second conversion and set up the following equation.

Thus, 2.5 teaspoons can hold 12.325 mL.
Q #3: 4(x-5)=8 Solve the equation above for x. Which of the following is the correct answer?

A. ¾

B. 3 ¼

C. -3

D. 7

Answer Explanation

In order to solve for the value of x, we use the order of operations as follows:

The first step is to divide both sides by 4

Since 5 is subtracted, we add 5 to both sides to eliminate it from the left-hand side of the equation

Thus, the value of x is 7.