1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bezzdna [24]
3 years ago
11

You need to buy tissue paper sheets to cushion gifts being placed inside a box. The box is 12 inches wide by 16 inches long. The

area of the tissue paper sheet is based on twice the length times the width of the box. Find the area of a tissue paper sheet
Mathematics
1 answer:
Kay [80]3 years ago
7 0

Answer:

Area of tissue paper is 384 square inches.

Step-by-step explanation:

Given:

Length of box = 16 inches.

Width of the box = 12 inches.

We need to find find the area of the tissue paper.

But It is given that the area of the tissue paper sheet is based on twice the length times the width of the box.

Hence Framing in equation form we get;

Area of tissue paper = 2(length\ of \ box \times width \ of \ box)

Hence Substituting the given values we get;

Area of tissue paper = 2(12\times 16) = 2\times 192 = 384 in^2

Hence Area of tissue paper is 384 square inches.

You might be interested in
Generate the first 7 terms of the sequence defined by Q = 3n+ 5.​
d1i1m1o1n [39]

Answer:

8,11,14,17,20,23,26

Step-by-step explanation:

Q = 3n+ 5

an=3n+5

a1=3(1)+5=8

a2=3(2)+5=11

a(3)=3(3)+5=14

a4=3(4)+5=17

a5=3(5)+5=20

a6=23

a7=26

8 0
3 years ago
Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ
vovikov84 [41]

9514 1404 393

Answer:

  y = 7

Step-by-step explanation:

The slope is ...

  m = (7 -7)/(0 -4) = 0

The y-intercept is the point (0, 7), so the slope-intercept equation is ...

  y = mx +b

  y = 0·x +7

Simplifying this puts it in standard form:

  y = 7

8 0
3 years ago
Match each vector operation with its resultant vector expressed as a linear combination of the unit vectors i and j.
Cloud [144]

Answer:

3u - 2v + w = 69i + 19j.

8u - 6v = 184i + 60j.

7v - 4w = -128i + 62j.

u - 5w = -9i + 37j.

Step-by-step explanation:

Note that there are multiple ways to denote a vector. For example, vector u can be written either in bold typeface "u" or with an arrow above it \vec{u}. This explanation uses both representations.

\displaystyle \vec{u} = \langle 11, 12\rangle =\left(\begin{array}{c}11 \\12\end{array}\right).

\displaystyle \vec{v} = \langle -16, 6\rangle= \left(\begin{array}{c}-16 \\6\end{array}\right).

\displaystyle \vec{w} = \langle 4, -5\rangle=\left(\begin{array}{c}4 \\-5\end{array}\right).

There are two components in each of the three vectors. For example, in vector u, the first component is 11 and the second is 12. When multiplying a vector with a constant, multiply each component by the constant. For example,

3\;\vec{v} = 3\;\left(\begin{array}{c}11 \\12\end{array}\right) = \left(\begin{array}{c}3\times 11 \\3 \times 12\end{array}\right) = \left(\begin{array}{c}33 \\36\end{array}\right).

So is the case when the constant is negative:

-2\;\vec{v} = (-2)\; \left(\begin{array}{c}-16 \\6\end{array}\right) =\left(\begin{array}{c}(-2) \times (-16) \\(-2)\times(-6)\end{array}\right) = \left(\begin{array}{c}32 \\12\end{array}\right).

When adding two vectors, add the corresponding components (this phrase comes from Wolfram Mathworld) of each vector. In other words, add the number on the same row to each other. For example, when adding 3u to (-2)v,

3\;\vec{u} + (-2)\;\vec{v} = \left(\begin{array}{c}33 \\36\end{array}\right) + \left(\begin{array}{c}32 \\12\end{array}\right) = \left(\begin{array}{c}33 + 32 \\36+12\end{array}\right) = \left(\begin{array}{c}65\\48\end{array}\right).

Apply the two rules for the four vector operations.

<h3>1.</h3>

\displaystyle \begin{aligned}3\;\vec{u} - 2\;\vec{v} + \vec{w} &= 3\;\left(\begin{array}{c}11 \\12\end{array}\right) + (-2)\;\left(\begin{array}{c}-16 \\6\end{array}\right) + \left(\begin{array}{c}4 \\-5\end{array}\right)\\&= \left(\begin{array}{c}3\times 11 + (-2)\times (-16) + 4\\ 3\times 12 + (-2)\times 6 + (-5) \end{array}\right)\\&=\left(\begin{array}{c}69\\19\end{array}\right) = \langle 69, 19\rangle\end{aligned}

Rewrite this vector as a linear combination of two unit vectors. The first component 69 will be the coefficient in front of the first unit vector, i. The second component 19 will be the coefficient in front of the second unit vector, j.

\displaystyle \left(\begin{array}{c}69\\19\end{array}\right) = \langle 69, 19\rangle = 69\;\vec{i} + 19\;\vec{j}.

<h3>2.</h3>

\displaystyle \begin{aligned}8\;\vec{u} - 6\;\vec{v} &= 8\;\left(\begin{array}{c}11\\12\end{array}\right) + (-6) \;\left(\begin{array}{c}-16\\6\end{array}\right)\\&=\left(\begin{array}{c}88+96\\96 - 36\end{array}\right)\\&= \left(\begin{array}{c}184\\60\end{array}\right)= \langle 184, 60\rangle\\&=184\;\vec{i} + 60\;\vec{j} \end{aligned}.

<h3>3.</h3>

\displaystyle \begin{aligned}7\;\vec{v} - 4\;\vec{w} &= 7\;\left(\begin{array}{c}-16\\6\end{array}\right) + (-4) \;\left(\begin{array}{c}4\\-5\end{array}\right)\\&=\left(\begin{array}{c}-112 - 16\\42+20\end{array}\right)\\&= \left(\begin{array}{c}-128\\62\end{array}\right)= \langle -128, 62\rangle\\&=-128\;\vec{i} + 62\;\vec{j} \end{aligned}.

<h3>4.</h3>

\displaystyle \begin{aligned}\;\vec{u} - 5\;\vec{w} &= \left(\begin{array}{c}11\\12\end{array}\right) + (-5) \;\left(\begin{array}{c}4\\-5\end{array}\right)\\&=\left(\begin{array}{c}11-20\\12+25\end{array}\right)\\&= \left(\begin{array}{c}-9\\37\end{array}\right)= \langle -9, 37\rangle\\&=-9\;\vec{i} + 37\;\vec{j} \end{aligned}.

7 0
3 years ago
What percent of the surface area of the ottoman is green (not including the bottom)? Round to the nearest tenth.
givi [52]

768.0%

Step-by-step explanation:

16x8x6=768

Rounded to the nearest tenth 768.0%

8 0
3 years ago
3 &lt; -5n + 2n Please show your work! Just in number form!
vovangra [49]

Answer:

[See Below]

Step-by-step explanation:

✦ Combine like terms:

  ✧ -5n + 2n = -3n

✦ Rewrite:

  ✧ 3 < -3n

✦ Divide:

  ✧ 3 / -3 = -1

So n = -1.

~<em>Hope this Helps Mate. If you need anything feel free to message me. </em>

8 0
3 years ago
Read 2 more answers
Other questions:
  • A bicycle tire has a radius of 15 inches. What is the circumference of the tire? Round to the nearest tenth
    13·2 answers
  • !!!! HELP!!! What is the solution to this system of linear equations?
    11·2 answers
  • Sam bought six new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are n
    5·2 answers
  • 27 is 15% of what number
    12·1 answer
  • G(x)=x3 -2x2+5x-8g(-5)
    6·2 answers
  • Help ASAP with #2 no links or I will report
    14·1 answer
  • Which of the following points lies on the graph of this equation? y= 3/2x- 4 A. (-2, -2) B. (-2, -4) C. (2, -1) D. (2, 1)
    11·1 answer
  • HELP I DONT GET THIS
    12·1 answer
  • A cereal packaging machine can fill 15 oz boxes at a rate of 3 boxes every 2 minutes. Production has scheduled 600 lbs to be pro
    13·1 answer
  • Solve for u. Enter your answer in the answer box and then click Check Answer.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!