Which of the following is the total number of whole boxes that measure 2 ft * 2 ft * 2 ft that can be stored in a room that measures 9 ft * 9 ft * 9 ft, if the size of the boxes cannot not be altered?
125
64
18
91
Correct Answer : B
Number of boxes in the room is equal to the volume of the room divided by the volume of one box
Volume of the room=9 ft*9 ft*9 ft= 729 ft3
Volume of one box = 2 ft* 2 ft * 2 ft= 8 ft3
Number of boxes= 729 ft3/ 8 ft3= 91.125 boxes
Thus, the room can store 91.125 boxes, which is about 91 boxes.
However, the room’s dimensions are 9 ft x 9 ft x 9 ft, and the boxes are 2 ft x 2 ft x 2 ft. To determine how many boxes fit along each dimension:
- In the 9 ft length, you can fit \(\frac{9}{2} = 4.5\) boxes, which means only 4 whole boxes fit along this dimension.
- In the 9 ft width, you can fit 4 whole boxes.
- In the 9 ft height, you can fit 4 whole boxes.
Therefore, the total number of boxes that fit is:
\(4×4×4=64\ boxes\)
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Correct Answer is C
Explanation
Given:
- Original price of the recliner: P
- Sale price (30% less than the original price): 0.7P
- Coupon saves an additional 25% off the sale price: 0.75 *0.7P = 0.525P
- The consumer pays $237 for the recliner.
We set up the equation:
0.525P = 237
Now, let's solve for P:
P = 237 / 0.525}
P = 451.428
Rounded to the nearest dollar, the original price of the recliner is approximately 451dollars.
Correct Answer is C
Explanation
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People who play baseball more tend to have more hits is POSITIVE CORRELATION
Shorter people tend to weigh less than taller people is a POSITIVE CORRELATION
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Correct Answer is C
Explanation
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P- Parenthesis
E-Exponents
D-Divide
M-Multiply
A-Add
S-Subtract
From the given equation start with solving :-
12 ÷3 * 4 - 1 + 23
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16-1+23
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15+23
The last step is to add 15+23
15+23=38
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Explanation
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Correct Answer is C
Explanation
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Rate of work for person A = 1 /2 work per hr
Rate of work for person B=1/3 work per hour
If person A and B work together, the time of doing the same work will be less than the fastest person A. Thus, we combine the two rates of A and B
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Explanation
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(x/y)-z=rw
Add z to both sides of the equation
(x/y)-z+z=rw+z
(x/y)=rw+z
Multiply both sides by y
(x/y)*y=y(rw+z)
X=y(rw+z)
Rearranging the equation results in:
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Explanation
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Explanation
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Explanation
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Explanation
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