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Zanzabum
3 years ago
11

A box with no top is to be constructed from a piece of cardboard whose length measures 88 in. more than its width. the box is to

be formed by cutting squares that measure 33 in. on each side from the four corners and then folding up the sides. if the volume of the box will be 144144 in.cubed3​, what are the dimensions of the piece of​ cardboard?
Mathematics
1 answer:
MariettaO [177]3 years ago
4 0

Let x be the width of the cardboard (which means the length of the cardboard is x+88), then the dimensions of the box are:

Length = [(x + 88) - 2(33)]

Width = x - 2(33)

Heighth = 33

Volume = length · width · heighth

144,144 = [(x + 88) - 2(33)] · [x - 2(33)] · 33

144,144 = (x+22)(x-66)(33)

4368 = (x+22)(x-66)

4368 = x² - 44x - 1452

0 = x² - 44x - 5820

use the quadratic formula to calculate that x = 101

Answer: cardboard width = 101, cardboard length = 189

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(x+6)^2+(y+7)^2 - 36 - 49 + 69 = 0

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2 years ago
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Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question

On a flight New York to London an airplane travels at a constant speed. An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d. How long will it take the airplane to travel 800 miles?

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2 years ago
4x + y =3<br> x + y - z = 9<br> 2x + 2y + z = 0
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Answer:

[0, 3, -6]

Step-by-step explanation:

{4x + y = 3

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{3x + 3y = 9 >> Combined equation

−¾[4x + y = 3]

{−3x - ¾y = −2¼ >> New Equation

{3x + 3y = 9

_________

2¼y = 6¾

___ ___

2¼ 2¼

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I am joyous to assist you anytime.

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3 years ago
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Answer:

b = -152

Step-by-step explanation:

  1. 7 + 12 = 19
  2. Plug 19 in: \frac{b}{19} = -8  
  3. Multiply each side by 19 to cancel out the 19 under b. It should now look like this: b = -152

I hope this helps!

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3.59999
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