Suppose the theater decides to have a third popcorn size, the super box. They want the super box to have a length of 6.5 inches, a width of 6.5 inches, and a height of 11 inches. Which of the three boxes should cost the most? Explain your reasoning.

Answer:

[tex]M.A.D = 18.9[/tex]

Step-by-step explanation:

Given: 22,26,28,35,45,63,91

Required: Mean Absolute Deviation

The first step is to solve for the mean of the given data

[tex]Mean = \frac{\sum x}{n}[/tex]

where x->22,26,28,35,45,63,91 and n = 7

[tex]Mean = \frac{22+26+28+35+45+63+91}{7}\\Mean = \frac{310}{7}\\Mean = 44.29[/tex]

Then; subtract the calculated mean from each data

[tex]22 - 44.29 = -22.29\\26 - 44.29 = -18.29\\28 - 44.29 = -16.29\\35 - 44.29 = -9.29\\45 - 44.29 = 0.71\\63 - 44.29 = 18.71\\91 - 44.29 = 46.71[/tex]

Get Absolute Values of the above results

[tex]|-22.29| = 22.29\\|-18.29| = 18.29 \\|-16.29| = 16.29\\|-9.29| = 9.29\\|0.71| = 0.71\\|18.71| = 18.71\\|46.71|= 46.71[/tex]

Calculate the mean of the above result to get the M.A.D

[tex]Mean = \frac{\sum x}{n}[/tex]

[tex]M.A.D = \frac{22.29+18.29+16.29+9.29+0.71+18.71+46.71}{7}\\M.A.D = \frac{132.29}{7}\\M.A.D = 18.8985714286\\M.A.D = 18.9[/tex]

Answer:

is two quadrilaterals are congruent, ten there must be 4 pairs of corresponding sides.

Answer:

4 pairs of corresponding sides

Step-by-step explanation:

if two quadrilaterals are congruent, then they have the same sides and are identical

quadrilaterals have 4 sides

therefore, each of their 4 sides are identical to each other

making the answer 4 pairs of corresponding sides.

hope this helps!!!

(btw i just took the gradpoint test and the answer was right)

Answer: The next 5 numbers would be "33,37,41,45,49

Step-by-step explanation:

Answer:

the answer is 78

Step-by-step explanation:

3x6 is 18

4x3 is 12

4x3 is 12

6x6 is 36

added together it is 78

Answer:

[tex]18m[/tex]

Step-by-step explanation:

[tex]P=4a=4*4.5=18m[/tex]

Answer:

Perimeter = 18m

Step-by-step explanation:

square = has four sides

P = perimeter

P = 4 · 4.5 = 18m

Perimeter = 18m

Answer:

Answer C. x = 2

Step-by-step explanation:

Given:

x − 2y = 2

3 * ( x ) + y = 6

You need to group the x-coordinates of the system of equations.

Rewrite x − 2y = 2 , in such a way that it starts with x =...

x = 2y + 2

Substitute x = 2y + 2 in 3 * ( x ) + y = 6, which gives:

3 * ( 2y + 2 ) + y = 6

6y + 6 + y = 6

7y = 0

y = 0

Substitute y = 0 in x = 2(y) + 2 gives x = 2*0 + 2

So x = 2, which is answer C.

x - 6x + 2x - 2x

x - 6x + 0

-5x

The x-coordinate of the solution to the following system of equations x − 2y = 2 and  3x + y = 6 is x = 2. Option c is correct.

system of equations is given as,

x − 2y = 2    - - - - (1)
3x + y = 6  - -- - - -(2)
x coordinate of the solution to the following system of equations to be determined.

the equation is the relationship between variables and is represented as a polynomial equation.

x − 2y = 2    - - - - (1)
3x + y = 6  - -- - - -(2)
From equation 1
x = 2y +2
put x in equation 2
3 (2y + 2) + y = 6
6y + 6 + y = 6
7y = 0
y = 0
Put y = 0 in x = 2y + 2
x = 2(0) + 2
x = 2

Thus, The x-coordinate of the solution to the following system of equations x − 2y = 2 and  3x + y = 6 is x = 2.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ2

Answer:

D. y = (x - 3)²

Step-by-step explanation:

The parabola formula in vertex form is:

y = a(x - h)² + k

where the vertex is located at (h, k). Replacing with vertex (3, 0) we get:

y = a(x - 3)² + 0

y = a(x - 3)²

In all possible options the leading coefficient a is equal to one. Therefore:

y = (x - 3)²

Answer:

B

Step-by-step explanation:

P=(1/2)(1/2)=1/4

We began be finding the volume of each shape, the we subtracted the volume of the cone from the volume of the cube.

Volume of wood that remain = 436.6 cm^3

Given Data

Let us find the volume of the cone

Volume of cone = πr^2h/3

Volume of cone = 3.142*3^2*8/3

Volume of cone = 3.142*9*8/3

Volume of cone = 226.224/3

Volume of cone = 75.408cm^3

Let us find the volume of the cube

Volume of cube = L^3

Volume of cube = 8^3

Volume of cube = 512cm^3

Hence the volume of the wood that remains

= volume of cube - volume of cone

= 512 - 75.408

= 436.6 cm^3

Learn more about volume of solids here:

https://brainly.com/question/21036176

Answer:

See below;

Step-by-step explanation:

1 . Consider the step below;

[tex]m< DCA = 90 degrees - Given ,\\m< ACB = 180 degrees - Straight < ,\\\\m< DCA + m< DCB = 180,\\m< DCB = 90 degrees,\\\\By Parts Whole Postulate - m< DCB = m< DCE + m< ECB,\\m< DCB = m< DCE + m< ECB,\\90 = 53 + g,\\Conclusion ; ( g = 37 degrees )[/tex]

Thus, Solution ; g = 37 degrees

2 . Knowing that these circle are " circumscribed " in this rectangle so that they are perfectly aligned, considering the length of this rectangle to be 20 inches, let us determine the radius;

[tex]Diameter Of 1 Circle - ( 20 inches ) / 4 = 5 inches,\\Radius of 1 Circle = ( 5 inches ) / 2 = 2.5 inches,\\\\Area of 1 Circle = \pi r^2 = \pi * ( 2.5 )^2 = 6.25\pi,\\Area of 4 Circles = 6.25\pi * 4 = 25\pi,\\Area of 4 Circles = Area of Shaded Region,\\\\Conclusion ; Area of Shaded Region = 25\pi[/tex]

Thus, Solution ; 25π

3. Let us first consider the given, then solve for the value of a, b, e;

[tex]Angles c + e - Vertical Angles,\\Angles a + c - Complementary,\\( a + c ) = 90,\\Angle c = 56 degrees,\\a + 56 = 90,\\Conclusion ; a = 34 degrees,\\\\[/tex]

[tex]m< e = m< c,\\Conclusion ; e = 56 degrees[/tex]

[tex]m< e + m< a + m< b = 180 - Straight Line,\\56 + 34 + m< b = 180,\\m< b = 180 - 56 - 34,\\Conclusion ; b = 90 degrees[/tex]

Solution; a = 34°, b = 90°, e = 56°

Answer:

64π

Step-by-step explanation:

Answer: The area is  1 1/4. The perimeter is 6.

Step-by-step explanation: 2.45 is about 2.5.   5/8 is about 1/2.  To find the area we need to multiply length times width.  2.5 is  2 and 1/2 which is 5/2. 5/2 times 1/2 is 5/4. To simplify it divide 5 by 4 which is 1 with remainder 1. 5/4 is 1 1/4. Therefore the area is 1 1/4 meters squared. To find the perimeter we have to add length + length + width + width. . 2.5 is the same thing as 2 1/2.  5/8 is about 1/2 if we use benchmarks.     2 1/2 + 2 1/2 +  + 1/2 + 1/2 is 6. The perimeter is 6.

Answer:

The white paint is 1.5 times the red paint. 1.5 is the same as 1 1/2 or 3/2. x = 3/2 y

Step-by-step explanation: In the graph there is one point where both x and y is a whole number.  3,2  . 3 white paint is equal to 2 red paint. You divide 3 by 2 which is 1.5, or 1 1/2 or 3/2. The relationship is that x is 3/2 times y. x = 3/2y

Answer:   OA)  5:3

Step-by-step explanation:

5:3

5 to 3.  Or 5/3.      Are the 3 ways that you.can write a ratio.  

Answer:

OA, OB, OD

Step-by-step explanation:

It does depend on which side each number is on. If you are comparing the stawberries to whipped cream it would be 5:3 (OA).

But if you were to compare whipped cream to stawberries it would be 3:5 (OB) or 3/5 (OD)

Answer:

The first one.

Step-by-step explanation:

For something to be considered to be a graph, every x value must have 1 y value. It does not matter if y values are the same, but you MUST make sure there is ONLY ONE of each value. So for example the second one wouldn't be a function because -5 appears twice for the x values, but with different y values. This would mean when graphed, it would fail the vertical line test (if you put a vertical line anywhere on the graph you will only get one point).

Answer:

The first one

Step-by-step explanation:

because it is the only one that actually applies to the function

Answer:

Area(PART)= 7.5 u^2

Step-by-step explanation:

RT=1 unit

PA=4 units

Distance between T (or R) and PA= 3 units

RT;PA = Bases

T (or R)--> PA= Altitude/Height

Area of trapezoid= Alt(B1+B2)/2

--> 3(1+4)/2

=> 3*5÷2

=15/2

=7.5

Thanks

Answer:

1/3

Step-by-step explanation:

3^2/5 x 3^-7/5

We know that a^b* a^c = a^(b+c)

3^(2/5 -7/5)

3^ (-5/5) = 3^ -1

We know that a^-b = 1/ a^b

3^-1 = 1 / 3

Answer:

4/15

Step-by-step explanation:

You would have to multiply the fractions, but first reciprocate the dividend.

3/5 * 4/9

Multiply

3 * 4 = 12

5 * 9 = 45

12/45

Simplify using LCM, or the factor that applies to both sides which in this case is 3

12/3 = 4

45/3 = 15

The answer is 4/15

Answer:

4/-15

Step-by-step explanation:

[tex]\frac{3}{5}[/tex] ÷ [tex]\frac{-9}{4}[/tex]

Invert the second fraction and multiply

[tex]\frac{3}{5}[/tex]  ×[tex]\frac{4}{-9}[/tex]

= [tex]\frac{12}{-45}[/tex]

Simplify:

=[tex]\frac{4}{-15}[/tex]

Answer:

1/5(p+2t) = r

Step-by-step explanation:

p = 5r – 2t

Add 2t to each side

p+2t = 5r – 22t

(p+2t) = 5r

Divide each side  by 5

1/5(p+2t) = r

Answer:

[tex] r = \frac{p + 2t}{5} \\ [/tex]

Step-by-step explanation:

[tex]p = 5r - 2t \\ p + 2t = 5r \\ \frac{ p + 2t}{5} = \frac{5r}{5} \\ r = \frac{p + 2t}{5} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: w = 125

Explanation: Since w is being divided by 5, to solve for w,

multiply both sides of the equation by 5.

On the left side, the 5's will cancel

and on the right side, 25(5) is 125.

So w = 125.

Please do not do this problem in your head.

Show the work that it takes to get w by itself.

Answer:

386 that lay eggs

Step-by-step explanation:

440-39= 401 hens

401hens- 15= 386

Answer:

386 that lay eggs

440-39= 401 hens

401 hens- 15= 386

:-)

Given:

To find out:

Find the area of rectangle?

Formula used:

Area of rectangle = length × breadth

Solution:

We know that,

Area of rectangle = length × breadth

= ( x + 2 ) × 3

= 3x + 6

Answer:

( -4920)

Step-by-step explanation:

we see that the first term is 3 and the common ratio between the succeeding terms is -3. so to  solve for the sum of the first 8 terms

 Sum = (a1)(1 – r^n) / (1 – r)

and substituting the known terms,we got  

  Sum = (3)(1 – (-3)^8)/(1 - (-3)) = -4920

Then the answer   = ( -4920)

Answer:

(x - 2)² + (y + 1)² = 9

Step-by-step explanation:

Circle equation: (x - h)² + (y - k)² = r²

Simply plug in your center (h, k) and your radius r and you have you final answer!

Answer:

x=35

Step-by-step explanation:

When a is parallel to b, the two angles will add to 180

x+ 3x+40=180

Combine like terms

4x+40 =180

Subtract 40 from each side

4x= 180-40

4x= 140

Divide by 4

4x/4 = 140/4

x=35

Answer:

4 is a coefficient

Step-by-step explanation:

4x - 10

x is the variable and 4 is the coefficient since it is next to the variable

-10 is the constant

4x is a term

4x-10 is a sum

Answer:

A) Coefficient.

Step-by-step explanation:

Answer:

x = 4, x = - 8

Step-by-step explanation:

(x+ 2)² = 36

√(x+2)² = + √36     √(x+2)² =  -√36  

x+2 = 6                     x+2 = -6

x= 4                          x = - 8

Answer:

Step-by-step explanation:

<6= 125 degrees

<3 = 125 degrees

x = 55 degrees

Answer:

Step-by-step explanation:

55° and ∠4 are corresponding angles made by parallel lines. Therefore, they're congruent.

∠4 = 55°

Lines s and t are parallel lines and ∠4 and x are the interior angles at the same side of the transversal l. Therefore, they're supplementary.

∠4 + x = 180°

55° + x = 180°

x = 180° − 55° = 125°