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LUCKY_DIMON [66]
4 years ago
12

A company sells boxes that are 2 3/8 feet high, 3 5/8 feet long and 1 7/8 feet wide. John has a storage room that is 8 feet wide

, 10 feet deep, and 12 feet high. You may rotate the boxes so that the width and length are interchanged, but the boxes may not be laid on their sides. What is the maximum number of boxes that he may stack on top of one another?
Mathematics
1 answer:
pychu [463]4 years ago
5 0
<span>The maximum number of boxes that may be stacked on top of one another is 5 boxes. Note that the questions asks how many boxes can be stacked ON TOP of one another, not how many can fit in the storage room. Further, the boxes cannot be manipulated to change their height. Thus, to find the answer we only need 2 of the measurements given: the height of the boxes and the height of the storage unit. The height of the box is 2 3/8 feet, which can be written as 2.375 feet. The height of the storage unit is 12 feet. Simply dividing the height of the storage unit by the height of the boxes give us: 12/2.375=5.052631... Thus the maximum number of number of boxes that can be stacked is 5.</span>
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What two-dimensional figure will result from slicing this rectangular pyramid parallel to the base?
andreev551 [17]

Answer: The answer is D. Trapezoid.    


Step-by-step explanation:  As shown in the attached figure, a rectangular pyramid  ABCDE is drawn. We are slicing this rectangular pyramid parallel to the base BCDE at the points F, G, H and I.

We can clearly see from the figure that upper half of the sliced figure will be similar to the pyramid BCDE and the lower sliced figure will be a trapezoid. These are the three-dimensional figures.

Also, the sliced two-dimensional figure FGHI will be a rectangle, because

the pyramid is a rectangular one and so,  FI=GH, FG=HI and all the angles are right angles.

Thus, the resulting two-dimensional figure will be a rectagle.


7 0
3 years ago
Read 2 more answers
2) In August, Emily's Clothing Store sold 460 shirts with the ratio of short sleeve to long
aivan3 [116]

Answer:

138

Step-by-step explanation:

We know that there are at least 3 short sleeved shirts and there are at least 7 long sleeved shirts. And we know it's in that ratio. So the best way to start this is to divide 460 by 7+3 to get the single unit amount of both shirts.

46 is the single unit amount. So 46 * 3 will get us our short sleeved shirts:

46 * 3 = 138

To check our answer, we'll take 460-138 and divide that by 7 to see if we get 46:

322/7 = 46

So the answer is correct!

4 0
3 years ago
What is the domain and range? Is the relation a function? Explain why or why not. {(2, 0), (5.0), (0.5), (0, 2)}​
agasfer [191]

Answer:

Domain: {0, 2, 5}

Range: {0, 2, 5}

The relation is not a function since the 0 appears more than once as an x-coordinate.

Step-by-step explanation:

The domain is the set of the x-coordinates.

The range is the set of the y-coordinates.

If any value appears more than once as an x-coordinate, it is not a function.

Domain: {0, 2, 5}

Range: {0, 2, 5}

The relation is not a function since the 0 appears more than once as an x-coordinate.

8 0
3 years ago
A ping pong ball is released from a height of 60 centimeters (cm) and bounces to a height that is 3/4 the previous height. What
Oduvanchick [21]

Answer:

H = 60(3/4)^x

Step-by-step explanation:

After each bounce, the height it reach is 3/4 the previous one.

Let the height of nth bounce be denoted as h_n and the first bounce is h_1.

We are given that h_1 = 60 cm. Following the rule in the problem, we get:

h_2 = (3/4)h_1 = (3/4)60

h_3 = (3/4)h_2 = (3/4)*(3/4)60 = 60(3/4)^2

h_4 = (3/4)h_3 = (3/4)*60(3/4)^2= 60(3/4)^3

We see that h_n = 60(3/4)^n is the formula for the height for the nth bounce. Therefore, H = 60(3/4)^x is the answer.

I hope this helps! :)

8 0
3 years ago
Which statement is modeled by the expression? 100p
Mars2501 [29]
The statement that is modeled by the expression: 100p is "<span>Each player in the league was given 100 tickets to sell. If there are p players in the league, the total number of tickets to sell is 100p"</span>.
7 0
3 years ago
Read 2 more answers
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