Which of the following is the best estimate of the number of centimeters (cm) in 9 yards? (Note: 1 yard=3 feet; 1 foot =12 inches; 1 inch =2.54 cm)
A. 775 cm
B. 780 cm
C. 823 cm
D. 830 cm
Here we utilize the dimensional analysis of units of measurement of length to convert yards to cm as follows
9 yards is equal to 822.96 cm, which is about 823 cm.
Therefore, the Correct Answer is C.
More Questions on TEAS 7 Math
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Q #1: Which of the following is the independent variable in the equation below? A(f) = 92 + 2f
A. f
B. 2
C. A
D. 92
Answer Explanation
Given the equation A(f)=92+2f
To find the value of A(f), we need to manipulate the value of f. In this case, f is the independent variable while A(f) is the dependent variable.
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Q #2: A recipe calls for 3 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?
A. 34.33 mL
B. 9.58 mL
C. 10.49 mL
D. 14.79 mL
Answer Explanation
To find the amount of vanilla in mL, use dimensional analysis of the units of measurements.
Two ways to convert between teaspoon and mL are:
Since we are required to find the amount in mL, we use a cionverstioon that will result in mL. Inspecting the above options, we use the second option and set up an equation in way the unwanted units cancel out and leave the wanted unit we are looking for. Then,
Thus, a recipe of 3 teaspoons equals 14.79 mL.
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Q #3: A person weighed themselves at 153 lb. Five months later they weighed themselves at 120 lb. Which of the following is the percent of weight the person lost over 5 months? (Round to the nearest percent.)
A. 38%
B. 22%
C. 19%
D. 29%
Answer Explanation
The percentage change in weight is found in three steps below:
Absolute change in weight=final weight-initial weight
Absolute change in weight= (left|120-153 ight|=left|-33 ight|=33)
Relative change in weight= (frac{absolute change}{initial weight}=frac{33}{153}=0.216)
Percent change=relative change * 100%
Percent change=0.216*100%=21.6%
The percent change in weight lost is 21.6 %, which is about 22%.
