-2/3, -0.5, -1.5, -4/9
Of the number listed above, which number is the greatest?
-0.5
-4/9
-1.5
-2/3
Correct Answer : B
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.
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Related Questions
Correct Answer is D
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.
Correct Answer is D
Explanation
The probability of finding a green ball is given by
Â
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.
Correct Answer is C
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.
Correct Answer is D
Explanation
We use the relation 1 L=1000 mL to convert L to mL.
The two options for converting between L and mL are
And
We use the first option to convert 6.5 L to mL as follows:
Thus, 6.5 L is 6500 mL.
Correct Answer is D
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 1.5Â high is 18Â feet.
Correct Answer is B
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.
Correct Answer is D
Explanation
Percentages are fractions with denominator equal to 100. To convert a percent to decimal form, divide the value by 100.
The decimal form of 98.2% is 0.982.
Correct Answer is A
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
(2frac{2}{5}=frac{left(2ast5 ight)+2}{5}=frac{10+2}{5}=frac{12}{5})
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.
(frac{x gallons}{1 full tank}=frac{frac{12}{5} gallons}{frac{4}{7}full tank})
Cross-multiply to find the value of x.
(frac{x }{1 full tank}=frac{frac{12}{5} gallons}{frac{4}{7}full tank})
(x astfrac{4}{7}full tank=frac{12}{5} gallonsast1 full tank)
(x =frac{frac{12}{5} gallonsast1 full tank}{frac{4}{7}full tank}=frac{12}{5}divfrac{4}{7} gallons=frac{12}{5}astfrac{7}{4}gallons=frac{21}{5}gallons)
Converting 21/5 to a mixed fraction is 4 1/5. Thus, when the tank is full, it holds 4 1/5 gallons of water.
Correct Answer is A
Explanation
Let the unknown length of the x. The resulting triangle is shown below.
We use the Pythagoras theorem as follows to find the unknown value of x as:
Â
Thus, the value of unknown side of the triangle is 21.8 feet.
Correct Answer is A
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,Â
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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