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hjlf
3 years ago
15

A company is creating a box without a top from a piece of cardboard, but cutting out square corners with side length x.

Mathematics
2 answers:
Volgvan3 years ago
6 0
Answer: Choice B) The expression (10-2x)(30-2x)x represents the volume of the box

----------------------------------------------------
----------------------------------------------------

The original width is 10 inches. The width reduces to 10-2x inches after we cut off the top two corners of the rectangle. We can think of it as taking 10 and subtracting off two copies of x like so: 10-x-x = 10-2x

Similarly, the length goes from 30 inches to 30-2x inches. This time we're taking off the top and bottom corners (focus on either side it doesn't matter). 

The height of the box is x inches due to this portion being folded up. 

Volume of box = (width)*(length)*(height)
Volume of box = (10-2x)(30-2x)x

Note: the units for the answer are in cubic inches which can be written as "in^3" (inches cubed). 

pantera1 [17]3 years ago
6 0

Answer:

(10−2x)(30−2x)x

Step-by-step explanation:

I know how to explain it, but the other person's answer already has a good explanation. I'm just confirming this to be correct! :D

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ULUI RUTE A
jonny [76]

Answer:

1)  $0.18 - rounded

   $0.18125 - original answer

2) $2.70

Step-by-step explanation:

For first equation:

1. Divide $1.45 by 8.

2. Get $0.18125

3. Round to $0.18

For second equation:

1. Multiply the amount of bananas (15) by how much they are ($0.18)

          15 X $0.18 = $2.7

2. Get answer: You pay $2.70 for 15 bananas.

4 0
4 years ago
Simplify completely..........​
vitfil [10]

Answer:

\frac{x}{x-1}

Step-by-step explanation:

\frac{3x^2 - 1}{x^2 - 1} - \frac{2x + 1}{x + 1}                                          [ \ x^ 2- 1 = (x-1)(x + 1) \ ]

= \frac{3x^2 - 1}{(x-1)(x  + 1 )} - \frac{2x + 1}{x + 1}\\\\=\frac{(3x^2 - 1)-(2x + 1)(x-1)}{(x + 1)(x-1)}                        [\ Taking \ LCM \  ]

= \frac{(3x^2 - 1)- (2x^2 - 2x + x - 1)}{(x+1)(x-1)}\\\\=\frac{3x^2 - 1 - 2x^2 + x + 1 }{(x+1)(x-1)}\\\\=\frac{x^2 +x}{(x+1)(x-1)}\\\\=\frac{x(x+1)}{(x+1)(x-1)}\\\\=\frac{x}{x-1}

<em><u>Finding LCM :</u></em>

Example :

                 \frac{1}{6} + \frac{1}{3}

6 = 2  x   3

3 = 1   x   3

                \frac{1}{2 \times 3} + \frac{1}{ 3} = \frac{1}{2 \times 3} + \frac{1 \times 2}{ 3 \times 2}  

[ To make the denominators same : the second fraction is multiplied and divided by 2 ]

Similarly :

 (x^2 - 1 ) = (x -1)(x+1)\\\\(x + 1)  = 1 \times (x + 1)

Same rule we applied : multiplied the numerator and denominator of the second term with ( x - 1 )

Therefore the second term becomes ,

                                       \frac{2x + 1}{x + 1} = \frac{(2x + 1)(x - 1)}{(x + 1)( x - 1)}

7 0
3 years ago
Help needed ! 13 - 2(2x + 1) = 1 ?
kirill115 [55]

Answer:

x = ¹⁰⁄₄,⁵⁄₂, or 2.5

Step-by-step explanation:

Given: 13 - 2(2x + 1) = 1

1. Distribute -2 through the parentheses:

⇒ 13 - 2(2x + 1) = 1

⇒ 13 + (-2)(2x) + (-2)(1) = 1

13 - 4x - 2 = 1

2. Combine like terms:

⇒ 13 - 4x - 2 = 1

⟹ 11 - 4x = 1

3. Subtract 11 from both sides:

⇒ 11 - 11 - 4x = 1 - 11

⟹ -4x = -10

4. Divide both sides by -4:

⇒ -4x ÷ -4 = -10 ÷ -4

⟹ x = ¹⁰⁄₄,⁵⁄₂, or 2.5

5. Check your work:

⇒ 13 - 2(2x + 1) = 1

⇒ 13 - 2(2(2.5) + 1) = 1

⇒ 13 - 2(5 + 1) = 1

⇒ 13 - 2(6) = 1

⇒ 13 - 12 = 1

⟹ 1 = 1 ✔

Learn more here:

brainly.com/question/17139226

brainly.com/question/26315061

5 0
2 years ago
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The federal tax code allows some items used for business purposes to be depreciated. That is, their taxable value decreases over
Phantasy [73]

Answer: T = 22,000 - 1,900n

Step-by-step explanation:

Taxable value is $22,000

The tax code allows for the depreciation of this van by $1,900 per year.

After n years therefore the total depreciation is;

= 1,900 * n

This depreciation will need to be removed from the taxable value of $22,000 to find out the taxable value left.

Formula is therefore;

T = 22,000 - 1,900n

4 0
3 years ago
Mr. Thompson received a water bill for $85.98. The bill covered three months of service. He used the same amount of water each m
Darya [45]
The answer is blow me

8 0
3 years ago
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