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vichka [17]
3 years ago
13

Carissa takes a square piece of cardboard and cuts 5 in. by 5 in. squares out of each corner. She folds the sides up to make a b

ox without a top.
What equation can Carissa use to determine the volume of the box, where x is the side length of the original piece of cardboard?

Express the equation in standard form.

V = ________
Mathematics
2 answers:
seropon [69]3 years ago
7 0

Answer:

V = 5x² - 100x + 500

Step-by-step explanation:

kow [346]3 years ago
3 0
The answer is v=5x^2-100x+500. First, since we are finding the volume of a square you already know that the equation for a square is volume= length*width*height. Because 5 inches was cut off from each side, that means that each side is now 10 inches shorter than it originally was. So, then you substitute the values into the formula.  So the length is x-10 and the width is also x-10 and the height is 5in. Then you write the formula like this (x-10)(x-10)5. Second, you substitute the values into the formula. Since there are 2 x's that would make x^2 and add that to 5 that would make 5x^2. Then you multiply -10*10=-100. Finally, you multiply -10*-10-5=500. Then you add them all together to get 5x^2-100x+500
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The 13-foot string is arranged into a rectangle. Let L denote the length of the rectangle,
soldi70 [24.7K]

The expressions for the width, W, and area, A, of the rectangle in terms of L are:

  • W = \frac{13}{2} - L
  • A = \frac{13L - L^{2} }{2}

The expression for the perimeter of a rectangle is given as:

P = 2(L + W)

where L is its length and W its width

a. Given that the perimeter of the rectangle is 13 feet, then;

13 = 2(L + W)

divide through by 2

\frac{13}{2} = L + W

So that;

W = \frac{13}{2} - L

The required formula for the width as a function of L is: W = \frac{13}{2} - L

b. Area of a rectangle can be expressed as;

A = L * W

substitute the expression for width in that of area to have

A = L * ( \frac{13}{2} - L)

  = \frac{13}{2}L - L^{2}

A = \frac{13L - L^{2} }{2}

The expression for the area A is: A = \frac{13L - L^{2} }{2}

Visit: brainly.com/question/10452031

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3 years ago
Help me someone smart
nasty-shy [4]

Answer:

18: b. y= -x+6

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Step-by-step explanation:

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3 years ago
Write and solve a system of equations for the situation described below. Define your variables and write your solution as a sent
Delicious77 [7]
N = nickels and q = quarters

0.05n + 0.25q = 1.90
n = 2q + 3

0.05(2q + 3) + 0.25q = 1.90
0.10q + 0.15 + 0.25q = 1.90
0.10q + 0.25q = 1.90 - 0.15
0.35q = 1.75
q = 1.75/0.35
q = 5 ......there are 5 quarters

n = 2q + 3
n = 2(5) + 3
n = 10 + 3
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3 years ago
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Orlov [11]

angle QRO is 126 degrees

4 0
3 years ago
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NEED THIS QUICK Karen earns $28,000 per year as a fashion consultant. She has personal exemptions that total $2,100. Use the tab
Lostsunrise [7]

Answer:

$1,210

Step-by-step explanation:

$28,000 - $2,100 = $25,900

$25,900 - $5,000 = $20,900

1.5% × $1,000 = $15

3% × $2,000 = $60

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$15 + $60 + $90 + $1,045 = $1,210

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2 years ago
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