a punch recipe that serves 24 people calls for 4 liters of lemon-lime soda, 2 pints of sherbet,and 6 cups of ice. How much of each ingredient would you need to make an identical recipe that serves 18 people?

Answers

Answer 1

Answer: 18/24=3/4 so 3/4 of every ingredient
3/4×4=3 liters of soda
3/4×2=1.5 pints of sherbert
3/4×6=4.5 cups of ice

Answer 2

Answer: You would need 3 liters of lemon-lime soda, 1.5 pints of sherbert, and 4.5 cups of ice. Hope this helps! :)

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the prices of backpacks are $22, 16, 39, 35, 19, 34, 20 and $26. how do i find the mean absolute deviation of the prices?

Answers

$mean:\overline{X}=(22+16+39+35+19+34+20+26)/(8)=(211)/(8)\n\nabsolute\ deviation :\n\nD=(|22-(211)/(8)|+|16-(211)/(8)|+|39-(211)/(8)|+|35-(211)/(8)|+|19-(211)/(8)|+|34-(211)/(8)|+|20-(211)/(8)|+|26-(211)/(8)|)/(8)$

$=((35)/(8)+(83)/(8)+(101)/(8)+(69)/(8)+(59)/(8)+(61)/(8)+(51)/(8)+(3)/(8))/(8)=((462)/(8))/(8)=((231)/(4))/(8)=(231)/(4\cdot8)=(231)/(32)=7.21875$

Ben is greeting customers at a music store. Of the first 20 people he sees enter the store, 9 are wearing jackets and 11 are not. What is the experimental probability that the next person to enter the store will be wearing a jacket? Enter your answer as a simplified fraction.

Answers

The experimental probability that the next person to enter the store will be wearing a jacket is 9/20.

How to calculate the experimental probability?

The experimental probability of an event is defined as the ratio of the number of times the event occurs to the total number of trials or observations.

In this case, we have observed 20 people, and 9 of them were wearing jackets. Therefore, the experimental probability that the next person to enter the store will be wearing a jacket is:

P = Number of people wearing jackets / Total number of people observed

P = 9/20

Therefore, the experimental probability that the next person to enter the store will be wearing a jacket is 9/20.

To know more about experimental probability follow

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maybe when the next person is wearing a jacket that will be 3 since 11 minus 9 equals 2+1 which equals 3and before the person came in there it was 2

candice bought 3 shirts. Each shirt cost the same amount and was discounted by $3.66. Candice paid a total of $62.31 before tax. How much did each shirt cost before the discount?

Answers

62.31 divided by 3 shirts is 20.77
so 20.77 plus 3.66 is $24.43

Help me please, thank you.

Answers

the correct answer is -2

The perimeter of a rectangle is 30 inches. If it's length is three times it's width, find the dimensions. Show work if possible.Next, a volleyball coach plans her daily practices to include 10 minutes of stretching, 2/3 of the entire practice scrimmaging, and the remaining practice time working on drills. On Wednesday, the coach planned 100 minutes of stratching and scrimmaging. How long, in hours, is the entire practice? Show work if possible.

Homework due tommorrow......PLEASE HELP!!!!!

Answers

The rectangle problem:

First, create some variables.
w = width
l = length

Then you know that the length is 3 times the width, so
l = 3w

The equation for perimeter is
P = 2(l+w)

Now you use substitution, substituting the 3w for l because you found that earlier.

P = 2((3w) + w)

And simplify.
P = 2(4w)
P = 8w

And you know P = 30 because they told you that.
30 = 8w
w = 15/4 inches, or 3.75 inches

Now substitute that value back into that first equation,
l = 3w
l = 3(15/4)
l = 45/4 inches, or 11.25 inches.

The dimensions are 11.25in for length and 3.75in for width.

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The volleyball problem:

100 minutes of stretching and scrimmaging combined, and you know 10 have to be stretching, so 90 is scrimmaging.

s = scrimmaging
T = total time

s = 2/3T (they gave you this)
90 = 2/3T
T = (90*3)/2
T = 270/2
T = 135 minutes, or 2 hours and 15 minutes.

All spheres are similar.
O
A. True
O
B. False

Answers

The spheres are similar as their radius will be in the ratio

What is a Sphere?

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the first sphere be represented as A

Now , the radius of the sphere A = r₁

Let the first sphere be represented as B

Now , the radius of the sphere B = r₂

And , the volume of sphere A , V₁ = ( 4/3 ) πr₁³

The volume of sphere B , V₂ = ( 4/3 ) πr₂³

The ratio of V₁ / V₂ is given by

V₁ / V₂ = ( 4/3 ) πr₁³ / ( 4/3 ) πr₂³