Which of the following is the best approximation of 5 times the positive square root of 29?
A. 100.0
B. 44.7
C. 20.5
D. 26.9
we use the calculator to determine the positive square root of 20, which is then multiplied by 20.
Using the calculator,
Multiplying the square root above with 5 becomes
The approximate value is 26.9.
Therefore, the Correct Answer is D.
More Questions on TEAS 7 Math
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Q #1: A bucket containing 5 2/5 gallons of water is 2/7 full. How many gallons of water is in one fully filled bucket?
A. 14/15
B. 2 7/15
C. 8 4/5
D. 18 9/10
Answer Explanation
we are asked to find the number of gallons a full tank can hold. A full tank is equivalent to 1.
Convert the mixed fraction into proper fraction as follows
If we let x be the number of gallons in full tank, and setting up the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.
Cross-multiply to find the value of x.
Converting 189/10 to a mixed fraction is 18 9/10. Thus, when the tank is full, it holds 18 9/10 gallons of water.
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Q #2: Which of the following is the best approximation of 5 times the positive square root of 29?
A. 100.0
B. 44.7
C. 20.5
D. 26.9
Answer Explanation
we use the calculator to determine the positive square root of 20, which is then multiplied by 20.
Using the calculator,
Multiplying the square root above with 5 becomes
The approximate value is 26.9.
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Q #3: Which of the following is the length of the unknown leg of a right triangle that has one leg length of 13 feet and a hypotenuse of 22 feet? (Round to the nearest tenth.)
A. 20 feet
B. 14.4 feet
C. 8.9 feet
D. 17.7 feet
Answer Explanation
Let the unknown length of the x. The resulting rectangle is shown below.
Then, we apply the Pythagoras theorem to find the value of x as:
The value of the unknown length is approximately 17.7 feet.
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Q #4: Which of the following values is the greatest?
A. 3/8
B. 6.25
C. 10/7
D. 7.4
Answer Explanation
To find the greatest number from the given options, convert the decimal numbers into fractions.
6.25 becomes 625/100
7.4 becomes 74/10
The LCM for the denominators of 8, 100, 7, and 10 is 2800. Now we can multiply each fraction with the LCM.
3/8*2800=1050
625/100*2800=17500
10/7*2800=4000
74/10*2800=20720
The fraction 7.4 is the greatest of all.
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Q #5: A teacher has asked all the students in the class which days of the week they read after 9 pm. which of the following is the best way to display the percent of number of students for each day of the week?
A. Histogram
B. Pie graph
C. Scatter plot
D. Bar graph
Answer Explanation
A histogram depicts the frequency of a one variable over the other while a bar graph is used to compare two variables with vertical axis representing the heights. Therefore, a histogram will be used to represent percent of the number of students reading after 9.
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Q #6: A bag contains two green balls, three red balls, and seven yellow balls. If one ball is randomly selected from the ball, which of the following is the probability that the ball is yellow?
A. 7/12
B. ¼
C. ½
D. 1/6
Answer Explanation
The probability of finding the probability of a yellow ball is given by
Total number of balls in the bag=2+3+7=12 balls
The probability of drawing a yellow ball from the bag is 7/12.
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Q #7: There are 800 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 nursing program?
A. 168
B. 144
C. 336
D. 152
Answer Explanation
we are asked to find the number of students enrolled in the nursing program using the percentages in the pie chart.
If we let x represent the number of students enrolled in the nursing program, we set a proportion equation with number of students on the numerator and percentages on the denominator.
Total percent in the pie chart is 100%, which equals 800 students. Then, 42% will represent
We solve the value of x by cross-multiplying the equation above.
Therefore, 336 students will enroll for a nursing program.
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Q #8: Which of the following is the median of the date set below? 9, -7, 1, -4, 3
A. -7
B. 1
C. 3
D. -4
Answer Explanation
The median of a data set is determined by arranging the numbers in ascending orders, and the median is the number the falls in the middle position.
-7, -4, 1, 3, 9
There are five numbers in the data set, and the median falls in the third position from either side. Thus, 1 fall in the third position.
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Q #9: Simplify the expression below. Which of the following is correct? \(\frac{[3 (2 + 6 \ast 4)]}{(26 \div 2)}\)
A. 6
B. 8
C. 12
D. 9
Answer Explanation
We follow the order of operations to solve the given expression.
First, we start with the numerator and solve it as follows
[3(2+6*4)]
We start with multiplication in inner brackets, 6*4=24. The expression becomes
[3(2+24)]
Then, we conduct the addition of 2+24=26. Then, the expression becomes
[3(26)]=3*26=78
Now, we solve for denominator, which is 26/2=13.
Thus, the expression is reduced into
\(\frac{[3(2+6\ast4)]}{(26\div2)}=\frac{78}{13}=6\)
The expression reduces into 6.
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Q #10: Which of the following is the best estimate of the number of centimeters (cm) in 2 yards? (Note: 1 yard=3 feet; 1 foot =12 inches; 1 inch =2.54 cm)
A. 175 cm
B. 180 cm
C. 136 cm
D. 90 cm
Answer Explanation
we convert the given value in yards to the cm by setting up the equation below.
2 yards is equal to 182.88 cm, which is approximately 180 cm.
