Your goal is to design a new shape for a cereal container that will hold the same volume of cereal as a standard ceareal box and costs as little as possible to make. Assume that cardboard costs $0.05 per square inch. How cheaply can you package cereal?

These figures are available.
* triangular prism
* rectangular prism
* cube
* pyramid
* cone
* cylinder
* sphere

You need to keep the volume the same as the original, the surface area has to be less, and the price has to be the cheapest. The original volume was 192in^3. The surface area was 272in^2.

Answers

Answer 1

Answer:

$14.50

Step-by-step explanation:

To calculate the cost for manufacturing a standard cereal box, we must take in account its surface area. The volume will be used to estimate the amount of cereal, the box can contain. The box is a cuboid as standard cereal boxes are cuboid.

So, we will consider the surface area. Given are:

Length- 8 inches

Width- 3 inches

Height- 11 inches

We will find the surface area as : 2lw + 2wh +2lh

= (2x8x3) + (2x3x11) + (2x8x11)

= 48 + 66 + 176 = 290 square inches

Given is - the cost of manufacturing the box is $0.05 per square inch.

So, cost of manufacturing the box with 290 square inches area =

0.05 x 290 = $14.50

The answer is $14.50


Related Questions

Can anyone help me please guys?

Answers

Answer:

Cost of the tires in 2008 = 23333 dollars

Step-by-step explanation:

Number of snow tires purchased are represented by,

T = [tex]\frac{500(t+20)}{(t+75)}[/tex]

Where t = duration from year 2000

Similarly, cost of the tires area represented by,

C = [tex]\frac{t+75}{1-.05t}[/tex]

Therefore, cost of T tires = C × T

= [tex]\frac{t+75}{1-.05t}[/tex] × [tex]\frac{500(t+20)}{(t+75)}[/tex]

= [tex]\frac{500(t+20)}{1-0.05t}[/tex]

Now cost of the tires in year 2008 (t = 8 years)

Total cost = [tex]\frac{500(8+20)}{(1-0.05\times 8)}[/tex]

                 = [tex]\frac{14000}{0.6}[/tex]            

                 = $23333.3

                 ≈ 23333 dollars

Find a unit rate: Joel ran 1500 meters in 5 minutes, 5 seconds.

Answers

Answer:

minutes

Step-by-step explanation:

PLEASE HELP MATH!!!!!! MULTIPLE CHOICE!!

Choose 1 answer:

(Choice A)

sin(30°)

(Choice B)

cos(30°)

(Choice C)

sin(300°)

(Choice D)

cos(300°)

(Choice E)

sin(330°)

(Choice F)

cos(330°)

Answers

Answer:

B should be the correct answer

Step-by-step explanation:

don't quote me on that

Please help!
Eric has $4,610 in a savings account that earns 4% interest, compounded annually.

To the nearest cent, how much will he have in 2 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

$ ___

Answers

Answer:

$ 4,986.18

Step-by-step explanation:

A = $ 4,986.18

A = P + I where

P (principal) = $ 4,610.00

I (interest) = $ 376.18

karsten has 5 apples rebecca has 10 apples how many apples are there in total? yes

Answers

Answer:

15 apples in total

Step-by-step explanation:

I honestly forgot all about these so can someone help?

Answers

Answer:

option 2 is not right angle triangles

Answer:

Option 3 is actually not a right triangle

Hope this helps :)

(Option 3 is an acute scalene triangle, the others are all right scalene)

To measure the height of a mountain, a surveyor took two sightings, one 1000 feet farther from the mountain of the other. The first angle of elevation was 85° and the second was 83°.
What is the mountain’s height?

Answers

Answer:

Height of the mountain was 28331.8 feet.

Step-by-step explanation:

An observer took the measurements from two sights C and D.

Point D was 1000 ft away from the earlier sight point C.

Angle of elevations from points C and D were 85° and 83° respectively.

From ΔABC,

tan85 = [tex]\frac{h}{x}[/tex]

x = [tex]\frac{h}{tan85}[/tex] -----(1)

Similarly, from ΔABD,

tan83 = [tex]\frac{h}{(x+1000)}[/tex]

x + 1000 = [tex]\frac{h}{tan83}[/tex]

x = [tex]\frac{h}{tan83}-1000[/tex] -----(2)

Now we substitute the value of x from equation (1) in the equation (2)

[tex]\frac{h}{tan85}=\frac{h}{tan83}-1000[/tex]

0.122785h - 0.087488h = 1000

0.035296h = 1000

h = 28331.822 ft

h ≈ 28331.8 ft

Therefore, height of the mountain was 28331.8 feet.

anyone know this trig question?

Answers

Answer: 23.8

Step-by-step explanation:

Since sine= opp/hyp we can use the given info to establish

sin39=15/x

x=23.8

Answer:

d) x≈23.8

Step-by-step explanation:

sin 39 = 15/x multiply by x each side

x sin 39 = 15 divide by sin39

x = 15/sin 39

x = 23.84

x≈23.8

How many solutions does the following equation have?
5x+8-7x=-4x+15x+8−7x=−4x+1

Answers

Answer:

This has one solution

Step-by-step explanation:

5x+8-7x=-4x+1

Combine like terms

-2x+8 = -4x+1

Add 4x to each side

-2x+4x+8 = -4x+4x+1

2x+8 = 1

Subtract 8 from each side

2x+8-8=1-8

2x = -7

Divide by 2

2x/2 = -7/2

x = -7/2

Answer:

One solution

Step-by-step explanation:

did it on khan:)

Triangle CDE is translated down into the right forming triangle C’D’E’. Which congruency statement is correct?

Answers

Answer:

B: DCE=D'C'E'

I hoped this helped you!

The required Triangle DCE is congruent to triangle D'C'E'. Option B is correct.

What is congruent geometry?

In geometry, two figures are congruent if they have the same shape and size, and all their corresponding parts (sides, angles, and vertices) are congruent. Congruent figures can be moved, rotated, or reflected without changing their shape or size.

Here,
Triangle DCE is congruent to triangle D'C'E'.

This is because a translation is a type of transformation that preserves the shape and size of the original figure, so the two triangles are congruent with each other.

Thus, the required Triangle DCE is congruent to triangle D'C'E'. Option B is correct.

Learn more about congruent geometry here. https://brainly.com/question/12413243

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The total mass of Sandeep and his sister, Leela, is 54.75 kg. The total
mass of Sandeep and his mother, Mrs Kohli, is 105 kg. Mrs Kohli is
4 times as heavy as Leela. What is Sandeep's mass?​

Answers

He is 38 kg.


I'll use only the first letters of their names, to make it simpler:

S+L=54.75
S+M=105
M=4L

S+4L=105
105-54.75=4L-L=3L
L=50.25/3=16.75
S=54.75-16.75=38

Answer:

38 kg

above is the answer

The following points for a function are graphed in the coordinate plane: (0, 4), (1, 5), (2, 6), and (3, 7).

What function is being graphed?

y = 4x
y = 2x + 3
y = x + 4
3x + 4

Answers

Answer:

y = x + 4

Step-by-step explanation:

I have attached the work to your problem below.

Please see the attachment.

I hope this helps.

Answer:

y = x + 4

Step-by-step explanation:

I took the lesson and got it correct

Jordan prepares 200 name tags to use at a
meeting. The number for each color of the
name tag is described below.
• 35% of the name tags are blue

3
8
of the name tags are yellow
• all of the remaining name tags are red
How many of Jordan’s name tags are red?

Answers

Answer:

number of red tags = 200 - 70 - 38 = 92

Step-by-step explanation:

Jordan has a total of 200 name tag and the tags have different varieties of colors. The tags have blue, yellow and red color . Let us find the number of blue  tags

number of blue tags = 35% of 200

number of blue tags = 35/100 × 200

number of blue tags = 70

The number of yellow tags = 38

The remaining number of tags are red color. Therefore the number of red tag will be the total number of tag minus the number of blue tags and the number of yellow tags.

number of red tags = 200 - 70 - 38 = 92

A ball was thrown upward into the air. The height, in feet, of the ball above the ground t seconds after being thrown can be determined by the expression -16t^2+40t+3. What is the meaning of the 3 in the expression?

Answers

Answer:

C.)  The ball was thrown from a height of 3 feet

Step-by-step explanation:

In the standard form of a quadratic function, f(x) = ax² + bx + c,

c is the constant term (also known as the y-intercept of the parabola)

In this situation, the ball is thrown up into the air and the flight path will be in the shape of a parabola

The equation y = -16t² + 40t + 3 has a y-intercept of 3, meaning the flight path began at 3 feet above the ground, as you can imagine by looking at the graph of the equation, below.  The y-intercept is at (0,3)

Find the 78th term of the arithmetic sequence
14, 5, -4, ...

Answers

Answer:

-679

Step-by-step explanation:

14 + (78 - 1) × -9

= 14 + (77)-9

= 14 - 693

= -689

PLs help I dont understand

Answers

Answer:

Step-by-step explanation:

32.5 is 1/10 of blank

Is means =. Of means multiply. So, 32.5=1/10*X

Answer:

32.5 is [tex]\frac{1}{10}[/tex] of 325

Step-by-step explanation:

325 ÷ 10 = 32.5

How do I do this I need help

Answers

Answer:

∠1 = 117°, ∠2 = 63°

Step-by-step explanation:

∠1 = 117° , and ∠2 = 63° because 117° is supplementary to 63°

The midpoint, M, of segment GH is M(4, -3). Endpoint G has the coordinates G(-2, 2). Calculate the coordinates of endpoint H. *

Answers

Answer:

The point M(Mx, My) is mid-point of GH with G(Gx, Gy) and H(Hx, Hy).

=> 2*Mx = Gx + Hx => 2*4 = -2 + Hx => Hx = 10

=> 2*My = Gy + Hy => 2*(-3) = 2 + Hy => Hy = -8

=> H(10, -8)

Hope this helps!

:)

The coordinate of the point H is (10, -8) if the midpoint, M, of segment GH is M(4, -3). Endpoint G has the coordinates G(-2, 2).

What is a segment bisector?

A segment bisector is a line, ray, line segment, or point that divides a line segment into two equal halves at its center.

It is given that:

The midpoint, M, of segment GH is M(4, -3). Endpoint G has the coordinates G(-2, 2).

Let (x, y) be the coordinates of endpoint H

H(x, y)

(x - 2)/2 = 4

x - 2 = 8

x = 8 + 2

x = 10

(y + 2)/2 = -3

y + 2 = -6

y = -8

Thus, the coordinate of the point H is (10, -8) if the midpoint, M, of segment GH is M(4, -3). Endpoint G has the coordinates G(-2, 2).

Learn more about the segment bisector here:

brainly.com/question/4137998

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Which represents the reflection of f(x) = StartRoot x EndRoot over the x-axis?

Answers

x equals 4 and the x axis

Answer: C

Step-by-step explanation: For edge2020 it is C graph.

find the are of the shape below, giving your answer to 1 decimal place. ​

Answers

Answer:

4075 squares centimeters

Step-by-step explanation:

V=4/3pi(r^3)

V=4/3pi(9^3)

V=3,054 inches^3

PLEASE HELP LAST QUESTION

Answers

Answer:green area- triangle area = 72-9 = 63

Step-by-step explanation:

What is the difference between -4 and 6?
O -10
0 -2
2
10

Answers

Answer:

10

Step-by-step explanation:

Subtract -4 from 6

6 - -4

Subtracting a negative is like adding

6 +4

10

Answer:

-10

Step-by-step explanation:

If you subtract 6-(-4) it gives you -10

Hope this helps

What’s the median of this set of data 71,37,22,81,65,54,52,41,48,71

Answers

Answer:

I'm glad you asked!

Step-by-step explanation:

Step 1:Order the numbers from least to greatest.

[tex]22,37,41,48,52,54,65,71,71,81[/tex]

Step 2:Now find the middle number.

[tex]22,37,41,48[/tex],52,54[tex],65,71,71,81[/tex]

Step 3:Since there are two numbers,we add them together then divide by 2.

[tex]52+54 =106[/tex]

[tex]106/2=53[/tex]

The median is 53.

Answer:

53

Step-by-step explanation:

Can anyone help me out on this, please? I'll mark you brilliant. :)

Answers

try 22

Step-by-step explanation: Maybe it could work, hope it. helps,

Khan?

A flag pole broke in a storm it was originally 81 feet tall 28 feet are still sticking straight out of the ground where it snapped but the remaining piece has changed over and touches the ground some distance away how far away is the end of the pool from the base of the pool along the ground

Answers

Answer:

Step-by-step explanation:first u need to buy then break it into half with ur friend then ur friend will get all and u will only get one but u will be lonely if u don’t tell ur friend to give u


Find the area of triangle ABC.
A. 24 cm
B. 32 cm2
C. 48 cm2
D. 64 cm
E. 128 cm2

I don’t need an explanation just the answer thank you c:

Answers

Answer:

24 centimetre

hope it is helpful

here are six number cards
-4 -2 -1 5 6 8
arrange the cards into three pairs with the same total

Answers

first card (-4 8)
second card (-2 6)
third card (-1 5)

the total for each catd is 4

Answer:

8 and -4

6 and -2

5 and -1

Step-by-step explanation: for example 6 and -2. If you add negative 2 and a positive 6  they will equal 4.  

A bag contains 3 red marbles, 5 blue marbles, and 4 green marbles if three marbles are drawn out of the bag what is the exact probability that all three marbles drawn will be blue?

Answers

Answer:

3 + 5 +4 = 12

3/12

= 1/4

Step-by-step explanation:

1. add the marbles together

2. divide the number of marbles drawn out by the total number of marbles.

To solve the system of linear equations 8 x + 5 y = 18 and 6 x + y = negative 2. By using the linear combination method, Amos decided that he should first multiply the second equation by –5 and then add the two equations together to eliminate the y-terms. His calculations are as shown. 8 x + 5 y = 18. + 6 x minus 5 y = 10. 14 x = 28. StartFraction 14 x Over 14 EndFraction = StartFraction 28 Over 14 EndFraction. X = 2. 6 x + y = negative 2. 6 (2) + y = negative 2. 12 + y = negative 2. 12 + y minus 12 = negative 2 minus 12. Y = negative 14. Amos's solution is (2, –14). What did he do wrong?

Answers

Answer:

He forgot to multiply 6x by -5

Step-by-step explanation:

8x + 5y = 18

6x + y = -2

-30x - 5y = 10

Answer: C I think

Step-by-step explanation:

Can someone plz help me

Answers

Answer:

i think its c

Step-by-step explanation:

Answer:

The answer is C. 5a² - 4a + 1

Step- by- Step:

First you want to Distribute the Negative Sign:

= 10a² + 3 − 5a + −1 (2 + 5a² − a)

= 10a² + 3 + −5a + (−1) (2) + −1 (5a²) + −1 (−a)

= 10a² + 3 + −5a + −2 + −5a² + a

Add Like Terms:

= 10a² + 3 + −5a + −2 + −5a² + a

= (10a² + −5a²) + (−5a + a )+( 3+ −2)

= 5a² + −4a + 1

Happy To Help! :)

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