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Which of the following is the best approximation of 4 times the positive cube root of 23?

A. 12.7

B. 11.4

C. 16.2

D. 96.7

Answer Explanation:

Therefore, the Correct Answer is B.

More Questions on TEAS 7 Math

  • Q #1: Which of the following is the equivalence in kilograms for 300 lb? (2.2 lb=1 kg)

    A. 136.4 lb

    B. 156.3 lb

    C. 240.5 lb

    D. 126.2 lb

    Answer Explanation

  • Q #2:   Simplify the expression above. Which of the following is correct?

    A. 33

    B. 44

    C. 25

    D. 12

    Answer Explanation

    Let's simplify the expression step by step:

    Step 1: Inside the square brackets, perform the operation within parentheses first:

    ([4(3+6?5)]=[4(3+30)] ) 

    Step 2: Continue simplifying inside the square brackets:

    ([4(3+30)]=[4ast33])

    Step 3: Calculate the value inside the square brackets:

    ([4ast33]=132)

    Step 4: Now, deal with the denominator:

    ((20÷5)=4)

    Step 5: Finally, divide the result from step 3 by the result from step 4:

    (132/4=33)

    So, the simplified expression is 33.

  • Q #3: A plastic bucket containing 4/5 gallons of water is 3/4 full. How many gallons of water is in one fully filled bucket?

    A. 1 1/15

    B. 2 4/15

    C. 9/15

    D. 11/15

    Answer Explanation

    Given:

    • A plastic bucket containing 4/5 gallons of water is 3/4 full.

    To find:

    • How many gallons of water is in one fully filled bucket?

    Let's use the proportion formula to solve this:

    If 3/4 of the bucket is 4/5 gallons, then 1 full bucket (or 4/4 of the bucket) will contain how many gallons?

    \(\frac{3}{4}\) of the bucket = \(\frac{4}{5}\) gallons ​ \(\frac{4}{3}\) of the bucket = \(\frac{5}{4}\) gallons  \(\frac{4}{4}\) of the bucket=\(?\) gallons

    \(\frac{4}{4}\)​ of the bucket = x gallons

    Cross multiplying: x =  \(\frac{4}{4}*\frac{4}{5}\ *\ \frac{4}{3}x = \frac{4}{5}*\frac{4}{3} = x\) 

    \(x\ =\ \frac{16}{15}\)

    Thus, a fully filled bucket contains \(\frac{16}{15}\ =\ 1\frac{1}{15}\)​ gallons of water. Therefore, the correct choice is:

    Choice A: 1 1/15

  • Q #4: 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 #5: A recipe calls for 4 teaspoons of vanilla. 1 teaspoon equals approximately 4.98 mL. Which of the following is the correct amount of vanilla in mL?

    A. 5.35 mL

    B. 50.7 mL

    C. 19.92 mL

    D. 12.25 mL

    Answer Explanation

    We need to find the mL in 4 teaspoons from the given information.

    If we let x represent the amount of vanilla in mL, and set a proportion equation with number of teaspoons as numerator and mL as denominator, then:

    Find the value of x by cross-products

    Therefore, 4 teaspoons equal 19.92 mL.

  • Q #6: Which of the following is the weight of the cargo in a truck if 3/5 of the cargo weighs 615 pounds (lb)?

    A. 1025 lb

    B. 1320 lb

    C. 1548 lb

    D. 788 lb

    Answer Explanation

    In this problem, we assume the truck carry a whole cargo to carry. Thus, total weight is found by dividing 615 lb by 3/5. Thus,

    We change the division sign to product and multiply 615 by reciprocal of 3/5. Then,

    (615 * frac{5}{3} = 1025 lb)

    The weight of the cargo in the truck will be 1025 lb.

  • Q #7: Solve for p in the equation above.

    A. p=1/v * (q - x/y)

    B. p=1/q * (v - x/y)

    C. p=qv+x/y

    D. p=qx-vy

    Answer Explanation

  • Q #8: A cheese recipe calls for 1/2 cup of flour for every 3/8 cup of milk. To make a bigger batch, the chef uses 3 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?

    A. 2 ¼ cups

    B. 1 3/4 cups

    C. 4 cups

    D. 2 ¾ cups

    Answer Explanation

  • Q #9: The data below represents students’ test scores. Which of the following is the median of the set data? 80, 76, 92, 96, 44, 86, 56, 93, 69

    A. 86

    B. 69

    C. 44

    D. 80

    Answer Explanation

    Explanation: the median of a data set is the element that is found on the middle position.

    To find median, organize the given data from the smallest to largest.

    44, 56, 69, 76, 80, 86, 92, 93, 96

    Now, the number of elements in the date set is 9, which is an odd number. The median falls in the position

    (N+1)/2=(9+1)/2=10/2=5.

    The number that falls in the 5th position is 80. Thus, 80 is the median of the data.

  • Q #10: Which of the following is the length of the unknown leg of a right triangle that has one leg length of 5 feet and a hypotenuse of 17 feet? (Round to the nearest tenth.)

    A. 18 feet

    B. 14.4 feet

    C. 9.8 feet

    D. 16.2 feet

    Answer Explanation

    We are asked to find the one of the lengths of a right-angled triangle, we use the Pythagoras theorem to find the unknown length.

    First, we label the triangle as below and let the unknown length be x.

    Then, we apply the Pythagoras theorem to find the value of x as:

    We take square-root on both sides

    The value of the unknown length is 16.2 feet.