Which of the following is the best approximation of 6 times the positive square root of 42?

A. 60.3

B. 44.7

C. 30.0

D. 38.9

Answer Explanation:

In this case, we use a calculator to estimate the positive square root of 42.

Then, multiplying the square root above with 6 becomes

Then, the approximate value of 6 time the positive square root of 42 is 38.9.

Therefore, the Correct Answer is D.

Q #1: Which of the following is the independent variable in the equation below? F(x)=5x+10

A. 10

B. F

C. 5

D. x

Answer Explanation

An independent variable is a variable that is manipulated or changed in the experiment. From the given equation, x is variable that is changed to obtain the desired outcome, F(x). Therefore, x is an independent variable.
Q #2: Soft Drinks Shop Orange: Two 24-packs for $15; one 24-pack for $9 Root Beer: One 24-pack for $14 Cream Soda: One 12-pack for $5 A consumer needs to purchase at least 60 soft drinks for a picnic. Which of the following combinations is the most cost-effective?

A. 2 pack of Orange and 2 packs of Cream Soda

B. 3 packs of Root Beer

C. 1 pack of orange, 2 packs of Root Beer and 1 pack of Cream Soda

D. 4 packs of cream Soda
Answer Explanation

Choice A: 2 packs of Orange and 2 packs of Cream Soda
- Total drinks: 48 + 24 = 72 drinks
- Total cost: (2 * $15) + (2 * $5) = $30 + $10 = $40
- This choice not only meets the requirement of at least 60 drinks but also offers the best value in terms of cost per drink, making it the most cost-effective option.
Choice B: 3 packs of Root Beer
- Total drinks: 3 * 24 = 72 drinks
- Total cost: 3 * $14 = $42
- While this choice meets the requirement of at least 60 drinks, it's not the most cost-effective, as it costs $42 for 72 drinks.
Choice C: 1 pack of Orange, 2 packs of Root Beer, and 1 pack of Cream Soda
- Total drinks: 24 + 48 + 12 = 84 drinks
- Total cost: $9 + (2 * $14) + $5 = $9 + $28 + $5 = $42
- This choice provides more than 60 drinks, but it's not the most cost-effective due to its higher cost of $42, same as choice B.
Choice D: 4 packs of Cream Soda
- Total drinks: 4 * 12 = 48 drinks
- Total cost: 4 * $5 = $20
- While this choice is the most cost effective, it falls short of providing the desired number of drinks.
Q #3: James’ uncle is thirteen less than three times James’ age. Which of the equations represents James’ uncle’s age (m) as it relates to James’ (n)?

A. m=13-3n

B. n=3m-13

C. m=13-3n

D. m=3n-13

Answer Explanation

in this case, we express James’ uncle’s age in terms of James’ age. From the equation:

James’ age is n

James’s uncle’s age is m=3n-13

Thus, the relation that relates James’ uncle’s age in terms of James’ age is m=3n-13.

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Which of the following is the best approximation of 6 times the positive square root of 42?

More Questions on TEAS 7 Math

Q #1: Which of the following is the independent variable in the equation below? F(x)=5x+10

Answer Explanation

Q #2: Soft Drinks Shop Orange: Two 24-packs for $15; one 24-pack for $9 Root Beer: One 24-pack for $14 Cream Soda: One 12-pack for $5 A consumer needs to purchase at least 60 soft drinks for a picnic. Which of the following combinations is the most cost-effective?

Answer Explanation

Q #3: James’ uncle is thirteen less than three times James’ age. Which of the equations represents James’ uncle’s age (m) as it relates to James’ (n)?

Answer Explanation

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Which of the following is the best approximation of 6 times the positive square root of 42?

More Questions on TEAS 7 Math

Q #1: Which of the following is the independent variable in the equation below? F(x)=5x+10

Answer Explanation

Q #2: Soft Drinks Shop Orange: Two 24-packs for $15; one 24-pack for $9 Root Beer: One 24-pack for $14 Cream Soda: One 12-pack for $5 A consumer needs to purchase at least 60 soft drinks for a picnic. Which of the following combinations is the most cost-effective?

Answer Explanation

Q #3: James&rsquo; uncle is thirteen less than three times James&rsquo; age. Which of the equations represents James&rsquo; uncle&rsquo;s age (m) as it relates to James&rsquo; (n)?

Answer Explanation

Free Access on TEAS 7 Exams and Study Notes

TEAS 7 Exams (Q&A)

TEAS 7 Study Notes

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Q #3: James’ uncle is thirteen less than three times James’ age. Which of the equations represents James’ uncle’s age (m) as it relates to James’ (n)?