Which of the following values is the greatest?

A. 9/2

B. 4.25

C. 10/3

D. 4.4

Answer Explanation:

To find the greatest number from the given options, we first convert the decimal numbers into fractions.

4.25 becomes 425/100

4.4 becomes 44/10

Then, we find the LCM for the denominators of the given fractions. The LCM of 2, 100, 3 and 10 is 300. Now we can multiply each fraction with the LCM.

9/2*300=1350

425/100*300=1275

10/3*300=1000

44/10*300=1320

Comparing the obtained values from above, 1350 is the greatest followed by 1320, 12750, and 1000 in that order. The fraction 9/2 gave a value of 1350, which was the greatest value. Thus, 9/2 is the greatest value from the given option.

You can also convert to decimals and compare which would give you the same answer.

Therefore, the Correct Answer is A.

Q #1: Which of the following is an appropriate unit of measure to express the length of a dollar bill?

A. Decameters

B. Kilometers

C. Centimeter

D. Meters

Answer Explanation

Centimeter is the appropriate unit to measure the length of a dollar bill.
Q #2: The American with Disabilities Act (ADA) requires that the slope of a wheelchair ramp be no greater than 1:12. Which of the following is the minimum length of a ramp needed to provide access to a door that is 2.5 feet above the sidewalk?

A. 25 feet

B. 145 feet

C. 32.5 feet

D. 30 feet

Answer Explanation

The slope represent the ratio between the vertical height to the horizontal length. Let x be the minimum length of the ramp, we can set a proportion with height on the numerator and length on denominator. Then,

Cross-multiply to find the value of x

Thus, the minimum length of the ramp needed is 30 feet to access to a door that is 2.5 feet above the sidewalk.
Q #3: A circle has an area of 49 in2. Which of the following is the circumference of the circle in terms of pi ( )?

A. 7 π in

B. 14 π in

C. 28 π in

D. 3.5 π in

Answer Explanation

We need to find the circumference of the circle from the given area.

To find the circumference, we need to find the radius of the circle from the given area.

Let r be the radius of the circle, and the area of the circle is given by

Substituting the value of area in the above equation becomes

Dividing both sides by pi and taking square root on both sides yields

The radius of the circle is 7 in. and the circumference of the circle is given by the relation: