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
o-na [289]
3 years ago
15

The manager of a theater noted that for every 10 admission tickets sold, the theater sells 3 bags of popcorn at $2.25 each, 4 so

das at $1.50 each, and 2 candy bars at $1.00 each. To the nearest cent, what is the average (arithmetic mean) amount of these snack sales per ticket sold?
Mathematics
1 answer:
Shalnov [3]3 years ago
5 0

Answer:

$1.475 is the average amount of snack sales per ticket sold.

Step-by-step explanation:

We are given the following in the question:

Number of popcorn bags sold = 3

Cost of  a popcorn bag = $2.25

Total cost of popcorn bag = 2.25\times 3 = $6.75

Number of soda sold = 4

Cost of  a soda = $1.50

Total cost of soda = 1.50\times 4 = $6.00

Number of candy bars sold = 2

Cost of  a candy bar = $1.00

Total cost of candy bars =  1.00\times 2 = $2.00

Total sales =

Total cost of popcorn + Total cost of soda + Total cost of candy bar

= 6.75 + 6 + 2\\=\$14.75

\text{Average} = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Average amount of snack sales per ticket sold =

\dfrac{\text{Total sales}}{\text{Number of tickets}} = \dfrac{14.75}{10} = 1.475

Thus, $1.475 is the average amount of snack sales per ticket sold.

You might be interested in
Use Cramer Rule to solve the following system: 8x−5y=70 and 9x+7y=3
nlexa [21]

Answer:

(x,y) = (5,-6)

Step-by-step explanation:

\underline{\textbf{Determinant of a matrix.}}\\\\\text{For a}~ 2 \times 2 ~ \text{matrix,}\\\\\begin{vmatrix} a_1&a_2\\b_1&b_2 \end{vmatrix} = a_1b_2 - a_2b_1\\\\\\\text{For a}~ 3 \times 3 ~ \text{matrix,}\\\\\begin{vmatrix} a_1&a_2&a_3\\ b_1&b_2&b_3\\ c_1&c_2&c_3 \end{vmatrix} = a_1\begin{vmatrix} b_2&b_3\\c_2&c_3 \end{vmatrix} - a_2 \begin{vmatrix} b_1&b_3\\c_1&c_3 \end{vmatrix}+ a_3 \begin{vmatrix} b_1&b_2\\c_1&c_2 \end{vmatrix}\\\\\\

                     ~~~~~~~~~~~~~~~~~~=a_1(b_2c_3-b_3c_2) -a_2(b_1c_3-b_3c_1) +a_3(b_1c_2-b_2c_1)

\underline{\textbf{Cramer's Rule to solve a system of two equations.}}\\\\\text{Consider the system of two equations:}\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~a_1x + b_1 y= c_1\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~a_2x +b_2 y = c_2\\\\\text{Here,}\\\\x = \dfrac{D_x}{D}= \dfrac{\begin{vmatrix} c_1&b_1\\c_2&b_2 \end{vmatrix}}{\begin{vmatrix} a_1&b_1\\a_2&b_2 \end{vmatrix}}\\\\\\ y= \dfrac{D_y}{D}= \dfrac{\begin{vmatrix} a_1&c_1\\a_2&c_2 \end{vmatrix}}{\begin{vmatrix} a_1&b_1\\a_2&b_2 \end{vmatrix}}\\\\

\underline{\textbf{Solution:}}\\\\~~~~~~~~~~~~~~~~~~~~~~~8x-5y = 70~~~~~~...(i)\\\\~~~~~~~~~~~~~~~~~~~~~~~9x +7y = 3~~~~~~~...(ii)\\\\\text{Applying Cramer's rule:}\\\\x = \dfrac{D_x}{D}\\\\\\~~=\dfrac{\begin{vmatrix} 70& -5 \\3&7 \end{vmatrix}}{\begin{vmatrix} 8& -5\\ 9& 7\end{vmatrix}}\\\\\\~~=\dfrac{70(7) -(-5)(3)}{(8)(7)-(-5)(9)}\\\\\\~~=\dfrac{490+15}{56+45}\\\\\\~~=\dfrac{505}{101}\\\\\\~~=5

y = \dfrac{D_y}{D}\\\\\\~~=\dfrac{\begin{vmatrix} 8& 70 \\9&3 \end{vmatrix}}{\begin{vmatrix} 8& -5\\ 9& 7\end{vmatrix}}\\\\\\~~=\dfrac{(8)(3) -(70)(9)}{(8)(7)-(-5)(9)}\\\\\\~~=\dfrac{24-630}{56+45}\\\\\\~~=-\dfrac{606}{101}\\\\\\~~=-6

\textbf{Hence, the solution to the system of equation is}~ (x,y) = (5,-6)

7 0
2 years ago
What are the solutions to –2|x| = –6?<br><br> Show your work please
dmitriy555 [2]

Answer:

[See Below]

Step-by-step explanation:

✦ Divide by -2 on each side:

  ✧ -2 / -2 = Cancels Out

  ✧ -6 / -2 = 3

So x would be 3, -3.

- |x| Just means absolute value. Which in short just means if it's negative it becomes positive.

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

3 0
3 years ago
Read 2 more answers
4c - 6 = 2 what is the answer to this equation?​
Rom4ik [11]

Answer:

2

Step-by-step explanation:

add 6 to both sides and it becomes 4c=8 divide 4 by both sides and it becomes c=2

7 0
4 years ago
Read 2 more answers
G(x) = (two-thirds) Superscript x – 2?
snow_tiger [21]

Answer:

-1 1/3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
At a basketball game, 95% of people attending were supporting the home team, while
vova2212 [387]

Answer:

3800

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Find the LCD 4/7 and 3/5
    11·1 answer
  • I need help guys u u help me show my work what is 62 divid by 8,090
    11·2 answers
  • Solve the equation INCLUDE THE FORMULA x - 5 = 3 - 5x + 3x + 4
    10·1 answer
  • Find the sum of the first 9 terms of the following series, to the nearest integer.
    7·1 answer
  • Help me with this question please, giving 15 points.
    5·1 answer
  • How many solutions does 33x+99=33x-99 have
    14·2 answers
  • Find area of a circle whose diameter 21cm
    15·1 answer
  • What is 20% times what equals 30
    6·1 answer
  • How many solutions does the system have?
    12·1 answer
  • Select the correct answer from each drop down-menu.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!