-2/3, -0.5, -1.5, -4/9 Of the number listed above, which number is the greatest?
A. -0.5
B. -4/9
C. -1.5
D. -2/3
Before finding the greatest number from the data set, the numbers need to be in fraction form.
-0.5=-5/10
-1.5=-15/10
The set of numbers becomes -2/3, -5/10, -15/10, -4/9
Now the least common denominator for 3, 10, and 9 is 90, which will be used to multiplied by the given fractions as follows:
-2/3*90=-60
-5/10*90=-45
-15/10*90=-135
-4/9*90=-40
From the above evaluations, the resulting numbers arranged from the smallest to the largest is -135, -60, -45, -40. Thus, the greatest number from the data set is -40, with a corresponding fraction of -4/9.
Therefore, the Correct Answer is B.
More Questions on TEAS 7 Math
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Q #1: 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
Answer Explanation
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.
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Q #2: A baker is using a cookie recipe that call for 2 ¼ cups of flour to yield 40 cookies. How much flour will the baker need to make 90 cookies using the same recipe?
A. 6 7/18 cups
B. 5 5/18 cups
C. 2 3/16 cups
D. 5 1/16 cups
Answer Explanation
We are asked to find the number of cups of flour that will be used to make 90 cookies.
First, we convert 2 ¼ into improper fraction as:
Letting x to be the number of cups of flour, we set up a proportion equation with number of cookies on numerator and number of cups of flour on the denominator becomes:
Solve the value of x by cross-products
Dividing both sides by 60, the above equation result to
Thus, the number of cups of flour needed to make 90 cookies is 81/16 cups, which is equal to 5 1/16 cups.
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Q #3: A bag contains six green balls, eight red balls, and three yellow balls. If one ball is randomly selected from the ball, which of the following is the probability that the ball is green?
A. 10/17
B. 3/17
C. 2/17
D. 6/17
Answer Explanation
The probability of finding a green ball is given by
Total number of balls in the bag=6+8+3=17 balls
Therefore, the probability of drawing a green ball from the bag containing 17 balls is 6/17.
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Q #4: Which of the following is the median of the date set below? 3, -5, 9, -1, 0
A. 9
B. -5
C. -1
D. 0
Answer Explanation
The median of a data set is a number that falls in the middle of the data set. To find the median, the numbers in the data set are arranged from the smallest to the largest. In the given data set, the organized arrangement is:
-5, -1, 0, 3, 9
There are five elements in the data set, and the median falls in the third position from either side. Thus, 0 falls in the third position.
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Q #5: Japheth’s uncle is 10 less than three times Japheth’s age. Which of the equations represents Japheth’s uncle’s age (u) as it relates to Japheth’s age (k)?
A. u=10-3k
B. u=3k-10
C. k=3u-10
D. k=10-3u
Answer Explanation
We are asked to determine Japheth’s uncle’s age relating to Japheth’s age.
First, express Japheth’s uncle’s age in terms of Japheth’s age as follows
Japheth’s age=k
Japheth’s uncle’s age, u = 3k-10.
Thus, the relationship between Japheth’s uncle’s age to that of Japheth is u=3k-10.
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Q #6: Which of the following is the equivalence in pounds for 65 kg? (2.2 lb=1 kg)
A. 52.2 lb
B. 22.7 lb
C. 143 lb
D. 220 lb
Answer Explanation
To find the pounds equivalent of the kg given, we use the two options as given below.
OR
Since we want to remain with pounds, we use the second option and set up the equation below.
Thus, 65 kg is equal to 143 lb.
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Q #7: Soft Drinks Orange Two 24-packs for $10; one 24-pack for $8 Root Beer One 24-pack for $11 Cream Soda One 12-pack for $6 A consumer needs to purchase at least 50 soft drinks for a picnic. Which of the following combinations is the most cost-effective?
A. 1 two-24 packs of Orange and 2 packs of Cream Soda
B. 3 one 24-pack of Orange
C. 1 packs of Root Beer and 3 packs of Cream Soda
D. 4 packs of cream Soda
Answer Explanation
To find the cheapest option, we determine how much the consumer will spend in each option given above:
1 two-24 packs of Orange and 2 pack of Cream Soda=1($10)+2($6)=$10+$12=$22
3 one 24-pack of Orange=3($8)=$24
1 pack of Root Beer and 3 packs of Cream Soda=1($11)+3($6)=$11+$18=$29
4 packs of cream Soda=4($6)=$24
The cheapest option is spending $22 and the most expensive one is $29. Thus, the consumer should consider buying 1 two-24 packs of Orange and 2 packs of Cream Soda.
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Q #8: Five friends are sharing a pizza. Two friend eats half of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza did each of the other three friends receive?
A. 1/6
B. 1/3
C. 5/6
D. 1/5
Answer Explanation
we need to find the portion of pizza shared by other three friends.
Two friends eat half of the pizza, which is ½
And the remaining amount of pizza,
Now, the other three friends share ½ amongst themselves equally. Then, each friend gets
The other three friends each gets 1/6 of the pizza.
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Q #9: A circle has an area of 169 π in2. Which of the following is the circumference of the circle in terms of pi ( )?
A. 13 π in
B. 26 π in
C. 7.5 π in
D. 20 π in
Answer Explanation
We need to find the radius of the circle in order to find circumference of the circle. If we let r to be radius of the circle, then
Substituting 169π
in place of area
Dividing both sides by pi and taking square root on both sides yields
The radius of the circle from the given area is 13 in. and the circumference of the circle is given by the relation:
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Q #10: The American with Disabilities Act (ADA) requires that the slope of a wheelchair ramp be no greater than 1:12. Which of the following is the minimum length of a ramp needed to provide access to a door that is 1.5 feet above the sidewalk?
A. 12 feet
B. 4.5 feet
C. 3 feet
D. 18 feet
Answer Explanation
We use the given slope to find the minimum length of the ramp. In this case, slope is the ratio of height to length of the lamp. Thus,
If we let x be the minimum length of the ramp. Then,
Substituting the value of slope into the above equation results in,
Solve for value of x by cross-products
X = 18 Feet
Thus, the minimum length of the ramp needed to provide access to a door that is 1.5 high is 18 feet.
