Johnny runs a hot dog stand. On Wednesday morning, he had 32 dozen hot dogs at his stand. The graph shows the number of hot dogs (in dozens) that remained unsold at the end of each day of sales.

Answer:

607.75 cm3

Step-by-step explanation:

v = L*w*h

8.5 * 5.5 * 13 = 607.75

607.75 cm3

Answer:

V= 8.5(5.5)(13)

V = 607.75 cubic inches

Step-by-step explanation:

Volume of a right rectangular prism is V=lwh where l is length, w is width, and h is height.

1. SA = P*L/2. As it's a square pyramid, P = 7*4 = 28 yd and SA = 28*4/2 = 28*2 = 56 sq yd.

2. SA = 2B+ph

B = area of the base (3*7 = 21), p = perimeter of the base (6+14=20), h = height (2)

==> 2B+ph = 42+22 = 64 sq. ft

3. SA = (Perimeter of the base × Length of the prism) + (2 × Base Area) = 32+10 * 16 + 2 * 80 = 32 + 160 + 160 = 320 + 32 = 352 sq. cm

4. SA = 6l^2 = 6*64 = 384 sq. in

5. Analogue to 1, SA = (7*4*5)/2 = (28*5)/2 = 14*5 = 70

Answer:

15.75

Step-by-step explanation:

first add

12+25+16+9+5+22+27+20=126

then divide by how ever many numbers there are in this case there's 8:

126÷8=15.75

Answer:

5.5

Step-by-step explanation:

2,3,3,4,5,7,8,8,8,10,10,12

The mean of this data is 7.5.  So what you are trying to figure out is the mean between 2 and 7.  Since that is 3 and 4 it would be 3.5.  So 3.5 is the Q1.  Now you have to figure out the mean between 8 and 12.  That is 9.  This is Q3.  You have to subtract 9-3.5 and that is the interquartile range. So 5.5 is the answer.  I hope that made sense.

Answer: I would say A because it makes the most sense

Step-by-step explanation:

Answer:

642.96

Step-by-step explanation:

To find the surface area"

[tex]SA=2lw+2lh+2wh[/tex]

Insert measurements into the equation:

[tex]SA=2*17\frac{2}{5}*3+2*17\frac{2}{5}*13.2+2*3*13.2[/tex]

Now to go through the very tedious steps of actually solving the equation (we got this!)

Next: Addition

And we have our answer!

I hope this helps and please feel free to comment, give feedback, ask questions, and correct me if I am wrong!

Have a great day

:)

Answer:

$15

Step-by-step explanation:

Since mark borrowed $2 he know has $2 debt so he gave sally 17$ which means he already paid 15$ extra in order to cover is debt

Answer:

8/13

Step-by-step explanation:

There are total 26 red cards in the deck of 52 cards.

There are also 12 face cards in the deck ( which is 6 of them are red, while 6 of them are black)

Since we only need either one of them, 26 + 6 = 32

The probability of drawn a card that either red or a face card is 32/52

The simplest form of this fraction is 8/13.

Answer:

Median cause there are no outliers

Step-by-step explanation:

its hard To explaIN but U should Ask Ur parents but basicaly what i did was find the mean and the medium and the range and i divide by 2 and see which one fitted in and it was median soo.

Answer:

23

Step-by-step explanation:

its going down lower minus by 6.

the x means the answer/number.

the answer is 23 of what i think

Answer:

-1/7

Step-by-step explanation:

-3/5(2/7)+4/35-3/10(2/7)

-3/5(2/7)+4/35-3/10(1/7)

-6/35+4/35-3/5(1/7)

-6/35+4/35-3/35

-1/7

The percentage of the increase will be 25% when the number of students in the marching band increased from 100 to 125.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

It is given in the question that the number of students in the marching band increased from 100 to 125 so we need to find the percentage increase of the students.

The percentage increase of the students will be calculated as:-

% increase=[(125-100)÷(100)]x100

% increase=[(25)÷(100)]x100

% increase= [0.25x100]

% increase= 25%

Hence the percentage of the increase will be 25% when the number of students in the marching band increased from 100 to 125.

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Answer:

1.5

Step-by-step explanation:

r=2Rcosθ

(x-1.5）² y²=2.25

The centre of the circle is (1.5 , 0) The radius is 1.5

So basically, we have [-83, -77] as the whole thing.
There's a circle that limits [-83, -79) as a shaded zone.

Vera claims that -78.9999 [tex]\geq[/tex] X, which is false.
Vera wrote a relation symbol that doesn't represent the ray's direction. She went the other way around.

Answer:

Answer: for One Unit to the Left: |1/2 x -3/2|+3

Step-by-step explanation: When translating to the left, you are going to end up with f(x-(-1)) meaning x+1. Even though left means subtracting, in translation it’s adding. (I hope that made sense).

that would create the equation |1/2x(x+1)-2|+3

If you solve that, it would simplify to |1/2x-3/2| which is the answer

Step-by-step explanation:

Answer:

121.2 cm^2

Step-by-step explanation:

Surface area:

6 x 5.5 x 2 = 6 x 11 = 66 cm^2

6 x 2.4 x 2 = 12 x 2.4  = 28.8 cm^2

5.5 x 2.4 x 2 = 11 x 2.4 = 26.4 cm^2

Total surface area = 66 + 28.8 + 26.4 = 94.8+ 26.4 = 121.2 cm^2

Answer:

Slope = 3/2

Step-by-step explanation:

To find the slope you do:

[tex]\frac{y2-y2}{x2-x1}[/tex]

Plug in any two points:

[tex]\frac{-5-(-2)}{0-2} = \frac{-3}{-2} =\frac{3}{2}[/tex]

Answer: the answer is b

Step-by-step explanation:

Answer:

13.3, but you can't sell 0.3 so round to the nearest whole number, which is 13.

Step-by-step explanation:

Find the volume of the cone package.

[tex]V = \frac{\pi r^{2}h }{3} \\V=\frac{3.14(3^{2})(8) }{3} \\V= \frac{25.12(9)}{3} \\V = \frac{226.08}{3} \\V=75.36[/tex]

Now divide the total cubic inches, 1000, by the volume of one cone package.

1000/75.36 = 13.3

Answer:   4,-2

-2,-2

-3,-5

Step-by-step explanation:

Answer:

1. 58.0644

2. 0.01

3. 14.16

Step-by-step explanation:

1. V = l*w*h

   v = 7.62*7.62*1

   v = 58.0644

              or

    v = 7.62*7.62*6

    v = 348.3864

    v = 348.3864/6

     v =  58.0644

2. 1cm/ 100 sticky notes = 0.01

    6cm/ 600 sticky notes = 0.01

3. A=2πrh+2πr2

      =2·π·1.5·2×0.002+2·π·1.52

      =14.15602

The volume of each section will be 58.09364[tex]cm^3[/tex]. The height of one sticky note is 0.06 cm and the surface area of one sticky note is  0.02376 sq inch.

1)The volume of one sticky note can be calculated using the formula for the volume of a rectangular prism :[tex]V = l \times w \times h[/tex], where l is the length, w is the width, and h is the height.

Length (l) = 7.62 cm

Width (w) = 7.62 cm

Height (h) = 1 cm (for each colored stack)

Substituting the values into the formula:

V = [tex]7.62 cm \times 7.62 cm \times 1 cm[/tex]

V = 58.09364[tex]cm^3[/tex].

Since there are 100 sticky notes of each color, the volume of each section can be found by multiplying the volume of one sticky note by 100:

Volume of each section =[tex]58.09364 cm^3 \times 100[/tex]

Volume of each section = 5809.364 cm³

Method 2: Using the total volume of the stack and proportions

The total volume of the stack can be calculated by multiplying the area of the base (length × width) by the total height of the stack.

Given:

Length (l) = 7.62 cm

Width (w) = 7.62 cm

Height of stack = 6 cm

Volume of stack = l × w × height of stack

Volume of stack =[tex]7.62 cm \times 7.62 cm \times 6 cm[/tex]

Volume of stack = 349.52544[tex]cm^3[/tex] (rounded to five decimal places)

Since the stack contains 600 sticky notes in total and each section represents one-sixth of the stack, we can calculate the volume of each section by dividing the total volume by 6:

Volume of each section = Volume of stack  divided by 6

Volume of each section =[tex]\dfrac{349.52544 }{6} cm^3[/tex]

Volume of each section = 58.25424 cm³ (rounded to five decimal places)

The height of one sticky note, we can divide the total height of the stack by the number of sticky notes of each color.

Method 1: Direct division

The height of one sticky note can be found by dividing the total height of the stack by the number of sticky notes in each colored section.

Height of stack = 6 cm

Number of sticky notes per color = 100

Height of one sticky note = [tex]\dfrac{Height of stack } {Number\ of \ sticky \ notes \ per \ color}[/tex]

Height of one sticky note =[tex]\dfrac{6}{100}cm[/tex]

Height of one sticky note = 0.06 cm

By Using proportions, method 2 can be solved

Since each colored section represents one-sixth of the stack, the height of one sticky note can be found by multiplying the height of the stack by [tex]\dfrac{1}{6}[/tex].

Height of stack = 6 cm

Height of one sticky note =[tex]Height of stack \times\dfrac{1}{6}[/tex]

Height of one sticky note =[tex]6\times \dfrac{1}{6}[/tex]

Height of one sticky note = 1 cm

To find the surface area of one sticky note in the circular stack, we need to calculate the surface area of the cylinder and then divide it by the number of sticky notes.

Total number of sticky notes = 400

Diameter of cylinder = 3 in

Height of cylinder = 0.8 in

[tex]\pi[/tex] = 3.14

Calculate the surface area of the cylinder using the formula for the lateral surface area of a cylinder:[tex]A = 2\pi rh[/tex], where r is the radius and h is the height.

Radius (r)  = [tex]\dfrac{3}{2}[/tex]  = 1.5 in

Lateral Surface Area (A) = [tex]2\pi rh[/tex]

A = [tex]2 \times 3.14 \times 1.5 \times 0.8[/tex] in

A = 9.504 sq inch (rounded to three decimal places)

Since there are 400 sticky notes, we can calculate the surface area of one sticky note by dividing the total surface area by 400:

Surface area of one sticky note = [tex]\dfrac{A}{Total\ number of \ sticky \ notes}[/tex]

Surface area of one sticky note = [tex]\dfrac{9.504 }{400}sq \ inch[/tex]

Surface area of one sticky note ≈ 0.02376 sq inch.

The volume of each section will be 58.09364[tex]cm^3[/tex]. The height of one sticky note is 0.06 cm and the surface area of one sticky note is  0.02376 sq inch.

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Answer: 41 degrees

Step-by-step explanation:

Given Values : 90 degrees & 49 degrees

Solve : 90 + 49 = 139

Since the sum of all sides of a triangle is supposed to add up to 180 degrees, subtract 180 - 139, and you will end up with 41 degrees.

The interquartile range of the data set is 7.

Step-by-step explanation:

The given set of data is {18 , 17 , 10 , 25 , 20 , 20 , 30 , 18 , 18 , 30 , 25}

Arrange the data in ascending order:

10 , 17 , 18 , 18 , 18 , 20 , 20 , 25 , 25 , 30 , 30

Divide the data in two equal parts:

(10 , 17 , 18 , 18 , 18), 20 ,(20 , 25 , 25 , 30 , 30)

Divide each parenthesis in 2 equal parts:

(10 , 17), 18 ,(18 , 18), 20 ,(20 , 25), 25 ,(30 , 30)

Now we can say that,

Q₁ = 18 , Median = 20 , Q3 = 25

Interquartile rage of a data is :

I.Q.R. = Q3 - Q1

I.Q.R. = 25-18 = 7

Therefore the interquartile range of the data set is 7.

Answer:

18

Step-by-step explanation:

9 x 2 = 18

radius x 2 = diameter