Which of the following is the decimal form of 98.2%?
9.82
9820
982
0.982
<ol> <li>9.82</li> <li>9820</li> <li>982</li> <li>0.982</li> </ol>
Correct Answer : D
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.
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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 B
Explanation
The number of boxes is determined by volume of the room divided by volume of one box.
Number of boxes

Therefore, about 24 boxes can be stacked in the room.
Correct Answer is C
Explanation
C organizes the collection correctly.
Correct Answer is D
Explanation
In this task, we use the relation from the given scenario to compare the number of dimes to quarters.
If we let p be number of pennies in the bottle. Then,
Number of quarters in the bottle = 2p
Number of nickels in the bottle = 3p
Number of dimes in the bottle =6(3p)=18p
Now relating dimes to quarters, we have

Thus, there are 9 times as many dimes as quarters in the box.
Correct Answer is B
Explanation
To find the median of a data set, we need to first order the data from least to greatest, then find the middle value.
Step 1: Order the data from least to greatest:
The original data set is:
12,19,7,14,22,26,15
Ordered from least to greatest:
7,12,14,15,19,22,26
Step 2: Find the middle value
Since there are 7 numbers (an odd number of data points), the median will be the middle value, which is the 4th number in the ordered list.
7,12,14,15,19,22,26
The middle value is 15.
Conclusion:
The median of the data set is 15.
The correct answer is B. 15.
Correct Answer is B
Explanation
The percentage change in weight is found in three steps below:
Absolute change in weight=final weight-initial weight
Absolute change in weight=(left|120-153 ight|=left|-33 ight|=33)
Relative change in weight=(frac{absolute change}{initial weight}=frac{33}{153}=0.216)
Percent change=relative change * 100%
Percent change=0.216*100%=21.6%
The percent change in weight lost is 21.6 %, which is about 22%.
Correct Answer is D
Explanation
To find the greatest number from the given options, convert the decimal numbers into fractions.
6.98 becomes 698/100
9.2 becomes 92/10
The least common denominator for the denominators of 7, 100 and 10 is 700. Now we can multiply each fraction with 700 as follows:
3/7*700=300
698/100*700=4886
10/7*700=1000
92/10*700=6440
In order from the smallest to largest, we organize the number set as follows:
3/7, 10/7, 6.98, 9.2.
Thus, 9.2 is the greatest of all.
Correct Answer is A
Explanation
To find the cheapest option, we find the amount the consume will spend for each option given.:
- 2 packs of Orange and 1 pack of Cream Soda will cost $16+$5= $21
- 3 Packs of Orange will cost $16+$12=$28
- 2 packs of Root Beer and 1 pack of Cream Soda will cost 2($15)+$7=$37
- 5 packs of cream Soda will cost 5($7)=$35
From the above evaluation, the cheapest option will cost the consumer $21. Thus, buying 2 packs of Orange and 1 pack of Cream Soda will be cheaper to purchase compared to other options.
Correct Answer is A
Explanation
Given the equation A(f)=92+2f
To find the value of A(f), we need to manipulate the value of f. In this case, f is the independent variable while A(f) is the dependent variable.
Correct Answer is D
Explanation
To find the area of the room, we form an equation of find an equation relating the length and width of the rectangle. If we let the width of the room to be w, then
Width of the rectangle= w
Length of rectangle=(w+5)
Area of the rectangle, A= Length*width=(w+5)*w
A=w(w+5)
Thus, the area of the rectangular room is w(w+5).
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