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Agata [3.3K]
4 years ago
11

A metal worker makes a box from a 15inch by 20inch piece of tin by cutting a square with a side length x out of each corner and

folding up the sides
a) write expressions for length width and height of the box
b) write a polynomial for the volume of the box
Mathematics
1 answer:
Nikolay [14]4 years ago
3 0

Answer:

a) Length = (20 - 2x) inches

Width = (15 - 2x) inches

b) Volume = (20 - 2x)(15 - 2x)x cubic inches.

Step-by-step explanation:

A metalworker makes a box from 15 inches by 20 inches piece of tin by cutting a square with a side length x out of each corner and folding up the sides.

a) So, the length of the box will become (20 - 2x) inches.

And, the width of the box will become (15 - 2x) inches.

b) The volume of the box will be = (Length × Width × Height)

= (20 - 2x)(15 - 2x)x cubic inches. (Answer)

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Move two match sticks to make squares.
Rasek [7]

Answer:

The one in the middle and the one on the right?

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Jules reads that 1 pint is equivalent to 0.473 liters. He asks his teacher how many liters there are in a pint. His teacher resp
andrey2020 [161]

One pint is equivalent to 0.473 liters which is approximately 0.47 liters if rounding off nearest to hundredth decimal places and 0.5 liters if rounding off nearest to tenth places.

Further explanation:

Jules reads that one pint is equivalent to 0.473 liters.

1\,\,{\text{Pint}}=0.473\,\,{\text{liters}}

But according to his teacher, one pint is about 0.47 liters.

1\,\,{\text{Pint}}\approx0.47\,\,{\text{liters}}

His teacher round off a value of one pint in liters nearest to hundredth places.

Also according to his parents, one pint is about 0.5 liters.

1\,\,{\text{Pint}}\approx0.5\,\,{\text{liters}}

His parents round off the value of one pint in liters nearest to tenth place.

Therefore, his parents and teachers are both right approximately.

Thus, one pint is equivalent to 0.473 liters which is approximately 0.47 liters if rounding off nearest to hundredth decimal places and 0.5 liters if rounding off nearest to tenth places.

Learn more:

1. Write an algebraic expression for the following word phrase the quotient of r and 12 brainly.com/question/1600376

2. 9 ten thousands ÷ 10 in unit form brainly.com/question/4786449

3. What is the value of the digit 4 in the number 84 230 brainly.com/question/106975

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Decimal system

Keywords: Hundredth, pint, decimal places, liters, teacher, approximately, divisor, kg, share, rounding off

3 0
3 years ago
Does anyone have the answers for all?
Shkiper50 [21]

Answer and Step-by-step explanation:

1-6

a.

What you can do is plug in 6 and start by doing the first machine first, then the second. If this doesn't work, do the second machine, then the first machine.

<em><u>The order that works is second machine, then first machine.</u></em>

<u>Second Machine:</u>

y = (6)^{2} -6 = 36 - 6 = 30

Plug into first machine now.

<u>First Machine:</u>

y = \sqrt{(30) - 5}  = \sqrt{25} = 5

We see that the result is 5.

b. <em><u>If we were to do the order of second machine, then first machine, we will never get a negative result (or -5 for that matter), due to the fact that you can't algebraically square root a negative number.</u></em>

<em><u>However, if we were to do the order of first machine, second machine, we can get a negative number. To get -5, we plug in 6 for x in the first machine, getting an answer of 1. We plug this into the second machine, getting 1^2 - 6, which results in -5.</u></em>

1-7. The absolute value of a value is the positive version of that value.

a. |54| = <em><u>54</u></em>

b. -|-7\frac{3}{5}| = -7\frac{3}{5}

c. |3| - |-1| = 3 - 1 = <em><u>2</u></em>

d. |2.2 - 5.13| = |-2.93| = <em><u>2.93</u></em>

1-8.

a.

_

<u>|  |</u>

<u>|  |</u>

<u>|  |</u>

<u>|  |</u>

<u>|  |</u> <u>  </u> <u>   </u> <u>  </u> <u>   </u>

<u>|  ||  ||  ||  ||  |</u>

<u>(5 boxes on each side)</u>

_

<u>|  |</u>

<u>|  |</u>

<u>|  |</u>

<u>|  |</u>

<u>|  |</u> <u>  </u> <u>   </u> <u>  </u> <u>   </u> <u>   </u>

<u>|  ||  ||  ||  ||  ||  |</u>

<u>(6 boxes on each side)</u>

b.<em><u> The amount of squares on each side of the figure increases by 1.</u></em>

c. <em><u>There would be 1 square, because we know that the pattern is there is 2 squares added to the next figure, 1 at each end. If we go back a figure, we take away 2 squares.</u></em>

1-9.

a. -42 - 17 = <em><u>-59</u></em>

b. 8 - (-9) = 8 + 9 = <em><u>17</u></em>

c. 8(-9) = <em><u>-72</u></em>

d. -42 ÷ (-7) = <em><u>6</u></em>

e. -2(-3)(-4) = 6(-4) = <em><u>24</u></em>

f. -18 - 7 = <em><u>-25</u></em>

g. (-5)^{2} = <em><u>25</u></em>

h. -5^{2}  = -(5)^2 = -(25) = <em><u>-25</u></em>

i. \sqrt{49} = <em><u>7</u></em>

1-10.  x = 2 Plug 2 in for x, then solve.

a. y = 7 - 3(2) = 7 - 6 = <em><u>1</u></em>

b. y = (2)^2 -1 = 4 - 1 = <em><u>3</u></em>

c. y = \frac{18}{2} = <em><u>9</u></em>

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

<em><u>I hope this helps!</u></em>

8 0
3 years ago
23 gallons= _____ pints​
Butoxors [25]

Answer:

23 = 184

Step-by-step explanation:

1 gallon = 8 pints

3 0
3 years ago
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What is the slope of the line?<br><br> y = -3x + 8<br><br> slope =
padilas [110]
M=-3..................
5 0
3 years ago
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