Which of the following is the best estimate of the number of centimeters (cm) in 10 yards? (Note: 1 yard=3 feet; 1 foot =12 inches; 1 inch =2.54 cm)

A. 720 cm

B. 880 cm

C. 960 cm

D. 914 cm

Answer Explanation:

Therefore, the Correct Answer is D.

Q #1: There are 900 students enrolled in four allied health programs at a local community college. The percent students in each program are displayed in the pie chart. Which of the following is the number of students enrolled in the respiratory care program?

A. 162

B. 171

C. 378

D. 189

Answer Explanation

we use the percentages and number of students to find the number of students enrolled in the respiratory care program as in the pie chart. The total percent of the whole piec chart sums to 100%.

If we let x represent the number of students enrolled in the respiratory care program, we can set a proportion equation with number of students on the numerator and percentages on the denominator.

Find the value of x by cross-products

Divide both sides of the equation by 100%

Thus, 171 students out of 900 students will enroll for a respiratory care program.
Q #2: A circle has an area of 144 in2. Which of the following is the circumference of the circle in terms of pi ( )?

A. \(18 \pi in\)

B. \(6 \pi in\)

C. \(12 \pi in\)

D. \(24 \pi in\)

Answer Explanation

We need to find the circumference of the circle.

Before finding the circumference of a circle, we need to find the radius of the circle from the given area.

Let r be the radius of the circle, then the area of the circle is:

Substituting the value of area in the above equation

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

The radius of the circle with the given area is 12 in, and the circumference of the circle becomes:
Q #3: As the number of credit hours a student takes in a semester increases, the tuition fees, the amount of access fees, and the number of student loans available also increase. Which of the following is the independent variable?

A. Amount of access fees

B. Tuition fees

C. Number of credit hours

D. Number of student loans available

Answer Explanation

A change in number of credit hours will lead to a change in the amount of access fees, amount of tuition fees, and availability of the number of student loans. Thus, number of credit hours is the independent variable.