Calvin is making a special cocktail for 124 guests. Each cocktail calls for 0.5 fluid ounces of Becherovka, which is purchased in 750-milliliter bottles. Due to the nature of the event, Calvin expects that each guest will have approximately 6 cocktails. If Becherovka comes in 12 bottles to a case, and each case costs
$189.43, what is the beverage cost per guest?

Answers

Answer 1

9514 1404 393

Answer:

  $1.87 per guest for quantity used

  $1.91 per guest for whole bottles used

  $3.06 per guest for whole cases used

Step-by-step explanation:

The cost of the beverage is ...

  ($189.43/case)(1 case/(12 bottles))(1 bottle/(750 mL)) = $0.02104777.../mL

Each guest consumes 6 cocktails of 0.5 floz each, so ...

  (6 drinks/gues)(0.5 floz/drink)(29.5735295625 mL/floz) ≈ 88.7205 mL/guest

Then the cost per guest is ...

  ($0.02104777.../mL)(88.7205 mL/guest) ≈ $1.86737/guest

The cost per guest for the amount used is about $1.87.

__

The total amount of drink used for all guests is ...

  124(88.7205 mL/guest) ≈ 11,001.4 mL

At 750 mL per bottle, this is ...

  (11,001.4 mL)/(750 mL/bottle) ≈ 14.7 bottles

If you're constrained to pay for 15 bottles, then the cost per guest is ...

  $189.43(15/12)/124 = $1.91 per guest

__

At 12 bottles per case, this is ...

  (14.7 bottles)/(12 bottles/case) ≈ 1.2 cases

If you're constrained to pay for 2 cases, then the cost per guest is ...

  $189.43(2)/124 = $3.06 per guest


Related Questions

Graph the equation.
y= 5(x + 1)^2– 3
HELP!!!

Answers

Step-by-step explanation:

the answer is in the attachment

The graph of the function y= 5(x + 1)²– 3 is attached accordingly. See the description of the graph below.

The graph of y= 5(x + 1)²– 3

The equation y = 5(x + 1)² - 3 represents a quadratic function.

The graph is a parabola with its vertex at (-1, -3). It opens upward since the coefficient of the squared term (x²) is positive.

The graph is vertically stretched by a factor of 5 compared to the standard quadratic function.

The x-coordinate of the vertex is -1, indicating a horizontal shift of 1 unit to the left from the standard quadratic.

Learn more about graphs at:

https://brainly.com/question/25799000

#SPJ2

How do you solve for 5h+34=17

Answers

Answer:

h=10.2

Step-by-step explanation:

add 34 on both sides so you would have 5h =51 then you divide 51 by 5 so you are left with h = 10.2! have a great day!!

Find the area of the shape below.

Hint: Find the area of the two triangles and the square and add them together.

Answers

The total area of the shape is 12

The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes. Round yours answers to 4 decimal places. (a) What is the probability that more than three customers arrive in 10 minutes

Answers

Answer:

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

In this question, we have that:

The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that [tex]m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833[/tex]

(a) What is the probability that more than three customers arrive in 10 minutes

This is P(X > 3). So

[tex]P(X > 3) = e^{-0.0833*3} = 0.7788[/tex]

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

11 is the quotient of a number y and 6.

Answers

Answer:

y = 66

Step-by-step explanation:

11 = y/6

11*6 = y

66 = y

What is the surface area?
8 ft
3 ft
1 ft
square feet

Answers

Answer: What is the surface area?
8 ft
3 ft
1 ft
square feet
To be honest I don’t really know what this shape is called but if it a rectangular prism then the surface area is going to be 70m^2

Which statement best explains the relationship between
lines AB and CD?
They
Le
parallel because their slopes are equal.
They are parallel because their slopes are negative
reciprocals.
They are not parallel because their slopes are not
equal.
They are not parallel because their slopes are
negative reciprocals.

Answers

Answer:

A. parallel because their slopes are equal.

Step-by-step explanation:

because parallel means matching

meaning they have the same slope

Can someone give me the answer asap

Answers

Answer:

https://brainly.in/...,..,

Answer:

38.4895cm²

Step-by-step explanation:

area of a circle with r=7

3.142×7² = 153.958

153.958/4 = 38.4895

A certain insect can beat its wings 180 times per

Answers

The equation would be

y= 180x

can u guys help i really need to be good at math because i dont want t go to a tewter tomorrow

Answers

Answer: Your answer is (C) 6/14

Step-by-step explanation: Have a brilliant day mate - Lily ^-^

Evaluate each expression if m=4,z=9,and r=1/6

1. 12r
2. 60r - 4
3. 3r power of 2

Answers

Answer:

1. 12r= 2

2. 60r - 4= 6

3. 3r power of 2= 1/12

Step-by-step explanation:

1. 12r = 12* 1/6= 12/6= 2

2. 60r - 4 = 60* (1/6) -4= 60/6 -4= 10- 4=6

3. 3r power of 2= 3* (1/6) power of 2= 3* 1/36= 1/12

or

(3*1/6) power of 2= (1/2) power of 2= 1/4

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PLSSSS SHOWWW THE WORKKK!!!!

Answers

answer: [tex]2^{3} a^{3} b^{12}[/tex]

steps:

you multiply each variable by 3.

example being: 2 x [tex]x^{3}[/tex] is [tex]2^{3}[/tex]

you do this with each of them

hope this helps! <3

You invested 19,000 in two accounts paying 6% and 8% annual interest, respectively. If the total interest earned for the year was $1220, how much was invested at each rate?

Answers

Answer:

(1000,   18000) is the answer

Step-by-step explanation:

Enter an answer in the response box that correctly fills in the blank.
Rebecca spent $5.95 on 7 cookies. Rebecca spent $
Round your answer to the nearest cent if necessary.
per cookie

Answers

Answer:

Step-by-step exRebecca spent $5.95 on 7 cookies. Rebecca spent $

Round your answer to the nearest cent if necessary.

per cookieplanation:

Sonja uses 8 of the 12 eggs in her dozen eggs to make a breakfast casserole. Olga uses 5/6 of a dozen eggs to make scrambled eggs. Who uses make eggs? Explain your answe

Answers

Answer:

Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.

Step-by-step explanation:

Given that Sonja uses 8 of the 12 eggs in her dozen eggs to make a breakfast casserole, while Olga uses 5/6 of a dozen eggs to make scrambled eggs, the following calculations must be performed to determine who uses more eggs:

Sonja = 8/12 = 0.666 x 12 = 8

Olga = 5/6 = 0.83333 x 12 = 10

Therefore, Olga will use 10 eggs, while Sonja will use 8, thus Olga will use more eggs.

Collectively, what are the interest costs and other fees for using a credit card called? A. balance B. credit line C. finance charge Reset Next​

Answers

The correct answer is C. Finance charge

Explanation:

A credit card is a service offered by financial entities such as banks that allows customers to buy goods and pay them later. This implies the customer does not immediately for goods but pays for these after a specific time. The use of this benefit implies related costs such as fees for the use of the credit card, and interest costs (money charged for borrowing the money from the bank), which are known as finance charge or the money charged for the benefit of using credit. According to this, the correct answer is C.

In the figure below, D is the midpoint of AC, and BD is perpendicular to AC.

What is the length of BD?

Answers

Answer:

(BD)^2 + (DC)^2 = (BC)^2

(BD)^2 + (15)^2 = (25)^2

(BD)^2 +225 =625

(BD)^2= 400

BD= 20cm

Step-by-step explanation:

30% of the students are absent from math class. If there are normally 30 students, how many are missing?

Answers

9 students would be missing,
30 percent of 30 is 9, hope this helped :)

if £2000 is placed in a bank account that pays 3% compoud interest each year , how much will be in the account after 2 years

Answers

Answer:

£2060

Step-by-step explanation:

If the bank pays then you are earning.

3% of 2000 = 60

2000 + 60 = 2060

Kamala spent a total of $4.32 to buy
6 pencils. Each pencil cost the same
amount. What was the cost of each
nencil2

Answers

Each pencil costs 0.72 as you do 4.32 / 6

y<1/4x+1 y≥ 3x+2 identify one point that is a solution and identify any point that is NOT a solution

Answers

Answer:

(-1,-1) works (5,5) does not

Step-by-step explanation:

y<1/4x+1[tex]\geq[/tex]3x+2

-1<1/4(-1)+1[tex]\geq[/tex]3(-1)+2

-1<-1/4+1[tex]\geq[/tex]-3+2

-1<.75[tex]\geq[/tex]-1

The rectangular base of a 3-D printer East 4.5' by 3' in the Keogh's drawing the base of the printer is 3" by 2" of nicaea in larger drawing to 3 times its size would foot the scale of her events draw

Answers

Answer:

[tex]Scale = 1.5[/tex]

Step-by-step explanation:

Given

[tex]Printer = (4.5',3')[/tex]

[tex]Keogh = (3',2')[/tex]

Required

Determine the scale

This is calculated as:

[tex]Scale = \frac{Original}{Actual}[/tex]

[tex]Scale = \frac{(4.5,3)}{(3,2)}[/tex]

Factorize the numerator

[tex]Scale = \frac{1.5 * (3,2)}{(3,2)}[/tex]

Scale = \frac{1.5 * (3,2)}{(3,2)}[tex]Scale = 1.5 * \frac{(3,2)}{(3,2)}[/tex]

[tex]Scale = 1.5 * 1[/tex]

[tex]Scale = 1.5[/tex]

A nature center has a fish tank in the shape of a rectangular prism the tank is 10 feet long and 8 1/4 feet wide and 6 feet tall The nature center's caretaker filled 4/5 f the tank with water. What was the volume of the water in the tank, in cubic feet? What was the height of the water in the tank? Explain or show your reasoning

Answers

Answer:

They had 20 of them

Step-by-step explanation:

sorry if its wrong

Yeah the answer is 20

Need an answer:

Graph g(x)=5|x-6|+2

Answers

your minimum is at (6,2)
your vertical intercept is at (0,32)
your domain: (-infinity, infinity)
your range: [2, infinity)

PLEASE HELP ITS URGENT
DONT GUESS
WILL MARK BRAINLIEST

Answers

Answer:

A) 1/2(3)(2.6)=3.9

B) 1/2(3)(5)=7.5

C) 7.5x3=22.5

D) 22.5+3.9=26.4

Step-by-step explanation:

A) 1/2(3)(2.6)=3.9

B) 1/2(3)(5)=7.5

C) 7.5x3=22.5

D) 22.5+3.9=26.4

Write an equivalent
measure in yards to to
126 in.?
1 ft = 12 in.1 yd = 3 ft

Answers

1 yard=36 inches and 126 inches to yards would be 3.5 yards because 3ft equals 36 inches and 126 divided by 36 equals 3.5 to check to 3.5 multiplied by 36

I need some help with this​

Answers

Answer:

(3) Median

Step-by-step explanation:

I would say median because it most likely wouldn't be any of the others. Mean would be thrown off with the outlier 0.80. Mode wouldn't really work for this. I don't think standard deviation would work because this isn't coninuous data.

Hope it helps and is correct!

John was adding Rational Numbers. He showed his work below. What was John's error?

Explain to John how to solve it correctly.

Adding Rational Numbers Error.

Answers

Answer:

-5 3/5

Step-by-step explanation:

John's error was in adding the whole number and fractional portions separately, the fractions must be converted to improper fractions with common denominators to be added or subtracted properly so

(-7 4/5) + (2 1/5), convert to improper fractions

-39/5 + 11/5, both fractions have common denominator so we can continue

-39 + 11 = -28, so -39/5 + 11/5 = -28/5, convert back to proper fractions

-28/5 = (-25/5) + (-3/5) = -5 3/5

Find the value of x.
A. 35
B. 10
C. 55
D. 25

Answers

Answer:

A.35

Step-by-step explanation:

trust bro

Answer:D 25

Step-by-step explanation:

What is the answer please help me

Answers

Answer:

am not really sute bt its ..no

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