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Dmitrij [34]
3 years ago
14

A warehouse is 63 yards long, 32 yards wide, and 6 yards high. If the warehouse is filled half its height with tightly packed bo

xes, what is the volume of the boxes
Mathematics
1 answer:
maks197457 [2]3 years ago
3 0

The volume of boxes is 6049 yards cubed.

Step-by-step explanation:

Given,

Length of warehouse = 63 yards

Width of warehouse = 32 yards

Height of warehouse = 6 yards

Volume of warehouse = Length * Width * Height

Volume of warehouse = 63*32*6=12096\ yd^3

As the boxes cover half of the height, therefore, we will divide the volume of warehouse by 2.

Volume of boxes = \frac{12096}{2}

Volume of boxes = 6049 yards cubed

The volume of boxes is 6049 yards cubed.

Keywords: volume, area

Learn more about volume at:

  • brainly.com/question/11416224
  • brainly.com/question/11638377

#LearnwithBrainly

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11. One card is drawn from an ordinary deck of 52 cards. Find the probabilities of drawing the following.
Scilla [17]

Answer:

  1. 3/4
  2. 4/13
  3. 7/26
  4. 2/13
  5. 5.52

Step-by-step explanation:

<u>(a)</u>

  • Probability (A heart or a black card) = 13 + 26 / 52
  • Probability (A heart or a black card) = 39/52
  • Probability (A heart or a black card) = 3/4

<u>(b)</u>

  • Probability (A heart or a jack) = 13 + 3 / 52
  • Probability (A heart or a jack) = 16/52
  • Probability (A heart or a jack) = 4/13

<u>(c)</u>

  • Probability (A heart and the ace of clubs) = 13 + 1 / 52
  • Probability (A heart and the ace of clubs) = 14/52
  • Probability (A heart and the ace of clubs) = 7/26

<u>(d)</u>

  • Probability (A 9 or a jack) = 4 + 4 / 52
  • Probability (A 9 or a jack) = 8/52
  • Probability (A 9 or a jack) = 2/13

<u>(e)</u>

  • Probability (The 9 of hearts or a jack) = 1 + 4 / 52
  • Probability (The 9 of hearts or a jack) = 5/52
5 0
2 years ago
in a building there are 32 apartments with 2 bedrooms and 3 bedrooms. knowing that there are 86 bedrooms in total, write a syste
xenn [34]
Let the number of 2 bedroom apartments be x and that of 3 bedroom apartments be y, then

x + y = 32
2x + 3y = 86
6 0
3 years ago
Evaluate 4 with the exponent of 2 ​
nlexa [21]

Answer:

16

Step-by-step explanation:

4^2

This means the base of 4 multiply by itself 2 times

4*4

16

3 0
3 years ago
Suppose you work for a sporting goods company, and you want to order shipping boxes for bike helmets. Each helmet is already pac
madreJ [45]

Answer:  n^2+6n-135=0

Step-by-step explanation:

The length, width and height of the smaller box are n inches , n inches and 8 inches respectively,

And, According to the question,

The shipping boxes has 2 inches extra width than that of smaller box and 4 inches extra length than that of smaller box, Also, The height of the shipping box should be the same as the helmet box.

Thus, the Length of the shipping box = (n + 4) inches

Width = (n+2) inches and height = 8 inches

Thus, the volume of the shipping box,

V = (n+4)\times (n+2)\times 8=(n^2+6n+8)8=8n^2+48n+64

But, V = 1,144 cubic inches,

⇒ 8n^2+48n+64=1144

⇒ n^2+6n+8=143

⇒  n^2+6n-135=0

Which is the required equation that models the volume of the shipping box.

8 0
3 years ago
Determine whether the lines are parallel, intersect, or coincide<br> y=1/3x+4 <br> x-3y=-12
adell [148]

The slopes of two lines are equal which means that the lines are parallel.

Further explanation:

The slopes of lines are used to find the relationship between two line.

  • If two lines are parallel, then their slopes will be equal.
  • If two lines are perpendicular, the product of slopes of both lines will be -1

The standard form of equation of line is:

y=mx+b

The coefficient of x is the slope here.

y=1/3x+4

Let m1 be the slope of first line:

m_1=\frac{1}{3}

x-3y=-12\\-3y=-x-12\\-3y=-1(x+12)\\3y=x+12\\\frac{3y}{3}=\frac{x+12}{3}\\y=\frac{x+12}{3}\\y=\frac{x}{3}+\frac{12}{3}\\y=\frac{1}{3}x+4

Let m2 be the slope of second line

m_2=\frac{1}{3}

We can see that:

m_1=m_2

The slopes of two lines are equal which means that the lines are parallel.

Keywords: Parallel Lines, Perpendicular Lines

Learn more about lines at:

  • brainly.com/question/3552621
  • brainly.com/question/3617539

#LearnwithBrainly

7 0
4 years ago
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