A movie theatre offers popcorn in two different containers for the same price. One container is a rectangular prism with a base area of 36in2 and a height of 5in. The other container is a triangular prism with a base area of 32in2 and a height of 6in. Which container is the better deal? EXPLAIN.

Answers

Answer 1

Answer: The triangular prism container  is a better deal.

Step-by-step explanation:

Hi, to answer this question we have to calculate both containers volume and compare them.

Rectangular prism volume = base area x height

Replacing with the values given:

V = 36 x 5 = 180 cubic inches

Triangular prism volume = base area x height  

V = 32 x 6 = 192 cubic inches

The triangular prism container has more volume, so it can hold more popcorn.


Related Questions

The sum of a two digit number is 8. If the digits are reversed, the number is increased by 54. What is the number.


Answers

Answer:

Let t = the tens digit and u = the units digit.

t + u = 8

10u + t = 10t + u + 54

10(8 - t) + t = 10t + 8 - t + 54

80 - 10t + t = 9t + 62

80 - 9t = 9t + 62

18t = 18

t = 1, u = 7

The number is 17.

Which rays are part of line BE?

Answers

Answer:

rays AB and AE

Step-by-step explanation:

You can clearly see on the diagram that these two rays make up line BE, forming a straight 180 degree line.

Hope it helps!

Answer:

The answer is AB and AE

Step-by-step explanation:

took the test on edge

What is the area of the triangle?

A triangle with a base of 45 inches, height of 33 inches, and side length of 45 inches.
123 inches squared
742.5 inches squared
1,012.5 inches squared
1,485 inches squared

Answers

Answer: 123 inches squared

Step-by-step explanation:

The requried area of the triangle is 742.5 inches squared.

What is the triangle?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
To find the area of a triangle, we can use the formula:

Area = 1/2 * base * height

In this case, the base is 45 inches and the height is 33 inches. So we have:

Area = 0.5 * 45 inches * 33 inches

Area = 742.5 inches squared

Therefore, the area of the triangle is 742.5 inches squared.

Learn more about triangles here:
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A certain medication comes in the form of a capsule, as
shown below. The fluid inside the capsule contains
several ingredients, including the active medication.
4 mm
nearest tenth.
V= mm3
If the density of the active medication in the liquid is
0.7 mg/mm3. how many milligrams of the active
medication are in one capsule? Round to the nearest
tenth.
mg
5.6 mm

Answers

Answer:

V= 103.9 mm^3 and 72.7 mg

Step-by-step explanation:

Reasons

Answer:

hi thereee

the answer would be

V=103.9

V=72.7

hope this helps :)

Step-by-step explanation:

i just did the assignment


Find The missing valaue in each of the problems

? x 10 = 10

please someone help

Answers

Answer:

1

Step-by-step explanation:

[tex]1*10=10[/tex]

1 Multiplied by any number will equal the same. If you have 1 group of ten people, how many people do you have? 10.

Hope this helps. Have a nice day. Please mark brainliest!

The missing value is 1.

if we multiply 1 and 10 then the result will be 10.

Would you rather buy one 8-lb container of ice cream for $24.56, or two 3-lb 11-oz containers of ice cream for $23.60?

Whichever option you choose, justify your reasoning with mathematics.


Answers

Answer:3-lb 11-oz containers of ice cream for $23.60

Step-by-step explanation:

The 3 lb one, it’s the better deal

1.
3z^2+ 8z-3
in quadratic formula

Answers

Answer:

What grade of math is this?

Step-by-step explanation:

Help what’s the domain and range

Answers

AnswersDomain = [-3, 3) Range = [-5, 4]

====================================

Explanation:

The left-most point on the graph is at (-3, -5) which is a closed circle. So this point is on the graph. The x coordinate here is x = -3. This is the smallest x value we can plug into the function, so it is the smallest value in the domain.

The upper boundary of the domain is x = 3. We can't actually use 3 itself since there is a open hole at the point (3,-5), meaning that this point isn't part of the graph. We can only get closer and closer to x = 3 but not get there.

So we can say the domain is the set of real numbers x such that [tex]-3 \le x < 3[/tex] meaning that x is between -3 and 3, where we include -3 but exclude 3. To write this in interval notation, you would write [-3, 3)

The square bracket means "include this endpoint". The curved parenthesis means "exclude this endpoint.

-----------

The range is handled in a similar fashion. We look at the y values this time. The smallest y coordinate is y = -5, which is from the point (-3, -5). The largest y value is y = 4 at the point (0,4). We can pick any y value between -5 and 4, including both endpoints, so we say

range = set of all y values such that [tex]-5 \le y \le 4[/tex]

which in interval notation translates to [-5, 4]

if xh=10 feet and mxy =100 degrees then determine the arc length of xy

Answers

Answer:

The arc length XY is equal to [tex]\frac{50}{9}\pi\ ft[/tex]  or [tex]17.4\ ft[/tex]

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the circumference of the circle H

The circumference is given by the formula

[tex]C=2 \pi r[/tex]

we have

[tex]r=xh=10\ ft[/tex]

substitute

[tex]C=2 \pi (10)\\C=20\pi\ ft[/tex]

step 2

we know that

The circumference of a circle subtends a central angle of 360 degrees

so

using proportion

Find out the length of the arc xy if the central angle is equal to 100 degrees

Remember that

[tex]m\angle XHY=arc\ XY=100^o[/tex] ---> by central angle

[tex]\frac{20\pi}{360^o}=\frac{x}{100^o}\\\\x=20\pi(100)/360\\\\x=\frac{2,000}{360}\pi\ ft[/tex]

Simplify

[tex]x=\frac{50}{9}\pi\ ft[/tex] ----> exact value

To find out the approximate value

assume

[tex]\pi=3.14[/tex]

substitute

[tex]x=\frac{50}{9}(3.14)=17.4\ ft[/tex] ----> approximate value

therefore

The arc length XY is equal to [tex]\frac{50}{9}\pi\ ft[/tex]  or [tex]17.4\ ft[/tex]

The arc length is 17.4 feet

Arc length of circle:

The arc length is given as,

                       [tex]\theta=\frac{arc}{radius}[/tex]

From given figure, It is observed that radius is 10 feet and angle is 100 degree.

Convert 100 degree into radian,

                    [tex]100degree=100*\frac{\pi}{180} =1.74 radian[/tex]

Substitute values in above relation.

                     [tex]1.74=\frac{arc}{10}\\ \\arc=1.74*10=17.4feet[/tex]

Thus, the arc length [tex]xy[/tex] is 17.4 feet

Learn more about the arc length here:

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Help me pls before 4 pM

Answers

Answer:

i say 12 combos

A small fruit basket with 6 apples and 6 oranges cost 7.50.
WHat is the cost of one apple

Answers

Answer:

50 cent

Step-by-step explanation:

um well im not sure if this is correct but hopefully it if have a good day :)

Identify the center of this circle
Identify the radius of the circle

Answers

Answer:

center -1,-4 and the radius is 4

Step-by-step explanation:

Answer:

The center of this circle (1,-4)

radius of the circle is 4

Complete the sentences. The area of the pyramid’s base is in.2. The pyramid has lateral faces. The surface area of each lateral face is in.2. The total surface area is 144 in.2. WILL MARK BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

The area of the pyramid's base is 36 square inches.

Area of base = s*s = 6*6 = 36

The pyramid has 4 lateral faces.

Count how many non-bases there are.

The surface area of each lateral face is 18 square inches.

Area of lateral face = 1/2 b*h = 1/2 9*6 = 18

The area of the pyramid’s base is 36 in² and the surface area of each lateral face is 108 in². Then the total surface area is 144 in².

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The area of the pyramid’s base will be

Base area = 6 × 6

Base area = 36 in²

The area of the pyramid’s base is 36 in².

The pyramid has lateral faces that will be

Lateral face = 0.5 × 6 × 9

Lateral face = 27 in²

Then the surface area of each lateral face will be

Surface area = 4 × 27

Surface area = 108 in²

The surface area of each lateral face is 108 in²

Then the total surface area is 144 in².

More about the geometry link is given below.

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How many times larger is a 10 pound dog than a hamster weighing five eighth pounds​

Answers

Answer:

about 16 times bigger

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

n= mass of dog/ mass of hamster

n= 10 lb/ 5/8 lb

Which description best describes the solution to the following
system of equations? (1 point)
y = -2x + 3
y = -x + 1
Line y = -2x + 3 intersects the origin.
Line y = -2x + 3 intersects the line y = -x + 1.
Lines y = -2x + 3 and y = -x + 1 intersect the x-axis.
Lines y = - 2x + 3 and y = -x + 1 intersect the y-axis.

Answers

The last one is the correct answer

Answer:

The correct answer is d.

Step-by-step explanation:

Hope You Have A GREAT Day Love ;)

And i hope this helps you

Please can someone answer this

Answers

Answer:

(a) 2 ounces.  (b) 90 grams.

Step-by-step explanation:

(a) 70 grams = about 2.3 ounces  = 2 ounces to nearest ounce.

(b) 3 ounces =  90 grams.

suppose that shoes sizes of American women have a bell-shaped distribution with a mean if 8.36 and a standard deviation of 1.49. using the empirical rule, what percentage of American women have shoe sizes that are no more than 3.89

Answers

Answer 14.1561


It’s right

Final answer:

Using the Empirical Rule and the given mean and standard deviation, we find that less than 1% of American women have shoe sizes no more than 3.89.

Explanation:

The student has asked about the percentage of American women who have shoe sizes no more than 3.89, given that the distribution of shoe sizes is bell-shaped, with a mean of 8.36 and a standard deviation of 1.49. Using the Empirical Rule, we know that around 68% of data falls within one standard deviation of the mean, approximately 95% within two standard deviations, and over 99% within three standard deviations.

To find the percentage in this case, we calculate the number of standard deviations 3.89 is from the mean. This number is (8.36 - 3.89) / 1.49 ≈ 3 standard deviations.

Since more than 99% of the distribution lies within three standard deviations from the mean, it is reasonable to infer that more than 99% of American women have shoe sizes larger than 3.89, which means less than 1% will have shoe sizes no more than 3.89.

Erik buys 2.5 pounds of cashews.If each pound of cashews cost $7.50, how much will he pay for the cashews

Answers

Erik will pay $18.75 for the cashews.

Erik will pay $18.75 for 2.5 pounds of cashews because the price is $7.50 per pound, and the cost is calculated by multiplying the price per pound by the number of pounds.

To calculate how much Erik will pay for 2.5 pounds of cashews at a rate of $7.50 per pound, you simply multiply the number of pounds of cashews by the price per pound.

The formula to determine the cost is: Total Cost = Price per Unit x Quantity.For Erik's purchase, this would be: Total Cost = $7.50 x 2.5.

Let's do the calculation:

First, multiply 7.50 by 2.5, which equals 18.75.This means Erik will pay $18.75 for the cashews.

Gloria talked on her cell phone for 320 minutes the first month,243 minutes the second month,and 489 minutes the third month.Her payment package dose not allow her pay per minute,She can only buy package.If she has to pay $25 for every 200 minutes,how much did she by for the first three months? AND WHAT IS THE HIDDEN QUESTION?????

Answers

Answer:

I believe she spent $150 for the first three months.

The hidden question i think is how many minutes did gloria spend in total OR how many packages did gloria need to buy. sorry i haven't done hidden questions in a long time.  

what is a/8 - 7(3) = 4a - 78(b)

solve for b pls

Answers

Answer:

31a/624 +7/26 = b

Step-by-step explanation:

a/8 - 7(3) = 4a - 78(b)

Multiply

a/8 - 21 =4a -78b

Multiply each side by 8 to get rid of the fractions

8(a/8 - 21) =8(4a -78b)

a - 168 = 32a -624b

Subtract 32a from each side

a -32a -168 = 32a -32a -624b

-31a -168 = -624b

Divide each side by -624

(-31a -168)/-624 = -624b/-624

(31a+168)/624 = b

31a/624 +7/26 = b

Answer:

b = (31a + 168)/624

Step-by-step explanation:

a/8 - 7(3) = 4a - 78(b)

78b = 4a - a/8 + 21

78b = (32-1)a/8 + 21

78b = (31a + 21(8))/8

78b = (31a + 168)/8

b = (31a + 168)/8 × 1/78

b = (31a + 168)/624

There are 4 teams in a soccer tournament. Each team plays each of the other teams exactly once. In each match, the winner receives 3 points and the loser receives 0 points. In the case of a tie, both teams receive 1 point. After all the matches have been played, which of the following total number of points is it impossible for any team to have received?

Answers

Answer:

8 points

Step-by-step explanation:

Given that there are 4 teams and Each team plays each of the other teams exactly once, then each team plays 3 matches. The possible points after 3 matches are:

0: 3 lost

1: 2 lost, 1 tied

2: 2 tied, 1 lost

3: 3 tied

4: 1 won, 1 lost, 1 tied

5: 1 won, 2 tied

6: 2 won, 1 lost

7: 2 won, 1 tied

9: 3 won

The answer is 8 points.

Since there are 4 teams in a soccer tournament, and each team plays each of the other teams exactly once, and in each match, the winner receives 3 points and the loser receives 0 points, while in the case of a tie, both teams receive 1 point, to determine, after all the matches have been played, which total number of points is it impossible for any team to have received, the following mathematical logical reasoning must be performed:

0 points = 3 losses = possible 1 point = 1 draw, 2 losses = possible 2 points = 2 draws, 1 loss = possible 3 points = 1 win, 2 losses or 3 draws = possible 4 points = 1 win, 1 draw, 1 loss = possible 5 points = 1 win, 2 draws = possible 6 points = 2 wins, 1 loss = possible 7 points = 2 wins, 1 draw = possible 8 points = impossible, it takes at least 4 matches to achieve that combination 9 points = 3 wins = possible

Learn more in https://brainly.com/question/17236174

How to find the circumference of a circle

Answers

Answer:

Step-by-step explanation:

The distance around a rectangle or a square is as you might remember called the perimeter. The distance around a circle on the other hand is called the circumference (c).

circle diameter radius

A line that is drawn straight through the midpoint of a circle and that has its end points on the circle border is called the diameter (d)

Half of the diameter, or the distance from the midpoint to the circle border, is called the radius of the circle (r).

The circumference of a circle is found using this formula:

C=π⋅dorC=2π⋅r


1)
Erica brought 56 bottles of water to basketball practice. She gave an equal number of bottles to each of her 8 teammates,
How many bottles of water did each teammate receive?

A)6
B)7
C)8
D)9

Answers

Answer:

b) 7

please mark as brainliest :)

Step-by-step explanation:

Answer:

B)7

Step-by-step explanation:

When she has 56 bottles we divide that by how many teammates, so 56/8 and that gives us our answer, 7

what do you add to 3 6/7 to make 5

Answers

Answer:

x=8/7

Step-by-step explanation:

Let the unknown be x

So 3 6/7 +x=5

27/7 + x=5

Lcm is 7

27+7x/7=5

Cross multiply

27+7x=7×5

27+7x=35

Substrate 27 from both sides

7x=8

Make x the subject of formula by dividing both sides by 7

x=8/7

Your opening balance this month was $1,664.00. In the last thirty days you made the following purchases: $27.35, $54.15, and $125.00. You are charged 15% annual interest (or 1.25% per month). If you pay a full month's interest on those purchases, what will your new balance be?

Answers

9514 1404 393

Answer:

  $1,893.88

Step-by-step explanation:

The new balance before the finance charge is added is ...

  $1664.00 +27.35 +54.15 +125.00 = $1870.50

The finance charge is then ...

  $1870.50 × 0.0125 = $23.38

So, the new balance is ...

  $1,870.50 +23.38 = $1,893.88

Answer:

$1,893.88

Step-by-step explanation:

help me please because I don't understand it​

Answers

Answer:

scale factor = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

To determine the scale factor, calculate the ratio of corresponding sides in the 2 figures. Ratio is image to original.

Comparing the top horizontal segments in both, orange to black.

scale factor = [tex]\frac{5}{15}[/tex] = [tex]\frac{1}{3}[/tex]

The perimeter of a rectangle is 50 inches. If the width of the rectangle is 10 inches, what is the length?
OA. 25 inches
OB. 30 inches
OC. 40 inches
OD. 15 inches
Reset
Submit

Answers

Answer:

the answer is 15inches

Step-by-step explanation:

if the width is 10 inches and it is a rectangle it will have two sets of parallel lines and so you would do 50-20=30 and the 30 would be divided by 2 to give 15

[tex]50-20=30\\30/2=15[/tex]

Answer:

OD. 15 inches

Step-by-step explanation:

Formula for Perimeter of rectangle is given as:

[tex]P = 2(l + w) \\ \therefore \: 50 = 2(l + 10) \\ \therefore \: \frac{50}{2} = (l + 10) \\ \therefore \: 25 = (l + 10) \\ \therefore \:l = 25 - 10 \\ \therefore \:l = 15 \: inches[/tex]

really need help. thanks in advance
collect all like terms
5a-2a^2-a+3ab+6a^2

Answers

Answer:

4a^2+4a+3ab

-4+-√16-48b/8

and then continue like this

the solution should be like a1=...b/a2=...b

It took Skylar a full minute to recall the chain of events that had brought her here,
deep into outer space. She had awoken from her deep, dreamless sleep only a few
moments before. After stretching her unused muscles, she surveyed her
surroundings, recognizing the instruments and equipment around her. Everything
had gone according to plan, and she had been asleep throughout the entire three-
year journey. Now, she had a crucial mission to carry out, one that would influence
the very course of life back on Earth.
This excerpt is the beginning of a longer work. Which describes how the plot will
most likely unfold?
1The main character will take command of the ship and return home.
2
The narrative will explain all the events in Skylar's life up to this point.
3Skylar will serve as an archetypal heroine who acts to save the world.

Answers

Answer:

3

Step-by-step explanation:

i think the answer is 3 because of the quote "now, she had a crucial mission to carry out, one that would influence  the very course of life back on Earth."

hope this helps!

Final answer:

The plot will likely focus on Skylar's crucial mission in outer space, portraying her as an archetypal heroine, with the story revealing the destabilizing condition that led her to this moment.

Explanation:

Based on the excerpt, it's most likely that the plot will involve Skylar embarking on a crucial mission that affects life on Earth, suggesting that the narrative will focus on her as an archetypal heroine. Given that she's just awakened from a three-year journey in deep space, we can infer a narrative structure that will emphasize her actions and decisions in outer space rather than detailing her entire life history or returning home immediately. The story seems poised to dive into the destabilizing condition that brought Skylar into space, likely escalating towards a central conflict related to her mission, while building empathy for her character as she navigates challenges in a foreign environment.

which statements are true?

Answers

FIRST 3 OPTIONS ARE RIGHT

MARK ME BRAINLIEST AND FOLLOW ME

First 3 options are correct
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