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

A. 72 cm

B. 180 cm

C. 36 cm

D. 90 cm

Answer Explanation:

We convert the given value in yard to the cm using the following set up.

The value 91.44 cm is close to 90 cm. Therefore, 1 yard is approximately 90 cm.

Therefore, the Correct Answer is D.

Q #1: Which of the following is the equivalence in pounds for 50 kg? (2.2 lb=1 kg)

A. 52.2 lb

B. 22.7 lb

C. 110 lb

D. 220 lb

Answer Explanation

We are asked to convert kg to pounds using the given relation. Letting x to represent the lb we are looking for.

Nest, we set the proportion with kg in the numerator and lb on the denominator as follows.

We find the value of x by cross-multiplication

The value of x is 110 lb.
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. 0.507 mL

C. 7.43 mL

D. 12.325 mL

Answer Explanation

We let x represent the amount of vanilla in mL, since this is what the question is asking us to find.

Next, we will set up a proportion with number of teaspoons on the numerator and amount in mL in the denominator.

Cross-multiply to find the value of x

A recipe of 2.5 teaspoons equals 12.325 mL.
Q #3: There are 800 students enrolled in four allied health program at a local community college. The percent students in each program is displayed in the pie chart. Which of the following is the number of students enrolled in the respiratory care program?

A. 168

B. 144

C. 336

D. 152

Answer Explanation

We are asked to find the number of students enrolled in the respiratory care program using the percentages in the pie chart.

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. The whole pie chart represents 100%, which is 800 students. Then, 19% will represent

We solve the value of x by cross-multiplying the equation above.

So, 152 students will enroll for a respiratory care program.