UNIT 5: CEREAL BOX PROJECT / PORTFOLIO

UNIT 5: CEREAL BOX PROJECT / PORTFOLIO

Answers

Answer 1

The volume of the cuboid of the box is 180 inches³ while the volume of the cylinder is 235.5 inches³.

How to calculate the volume?

The volume of the cuboid will be:

= Length × Width × Height

= 12 × 2 × 7.5

= 180 inches³

The volume of the cylinder will be:

= πr²h

= 3.14 × 2.5² × 12

= 235.5 inches³

The surface area of the cuboid will be:

= 2(12 × 2) + 2(12 × 7.5) + 2(7.5 × 2)

= 48 + 180 + 30

= 258 inches²

The surface area of the cylinder will be:

= 2πrh + 2πr²

= (2 × 3.14 × 2.5 × 12) + (2 × 3.14 × 2.5²)

= 188.4 + 39.25

= 227.65 inches²

Learn more about volume on:

https://brainly.com/question/1972490


Related Questions

Which value of x makes the following equation true? 2(x + 7) = x + 19 OA. 5 OB. 12 O C. 19 OD -2​

Answers

2(x + 7) = x + 19

Use distributive property on left side;

2x + 14 = x + 19

Subtract 14 from both sides:

2x = x + 5

Subtract 1 x from both sides:

X = 5

The distance from earth to the moon is about 3.84 times 10^6 meters. what is one fourth of this distance

Answers

3.84 x 10^6 = 3,840,000

3,840,000 / 4 = 960,000

If the distance from the earth to the moon is about 3.84 x 10⁶.One-fourth of this distance will be 960,000

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, the distance from the earth to the moon is about 3.84 x 10⁶.

One-fourth of this distance is found by dividing the total distance by 4.

We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.

Suppose the one-fourth of this distance will be x,

(1/4)× 3.84 x 10⁶ =x

x=(3.84 x 10⁶)/4

x=960,000

Thus, if the distance from the earth to the moon is about 3.84 x 10⁶. One-fourth of this distance will be 960,000

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ5

The lengths of a particular snake are approximately normally distributed with a given mean mu = 15 in. and standard deviation sigma = 0.8 in. what percentage of the snakes are longer than 16.6 in.?

Answers

The percentage of the snakes is longer than 16.6 in. with a mean of 15 in. and a standard deviation of 0.8 in. is 2.275%.

What is a normal distribution?

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The lengths of a particular snake are approximately normally distributed with a given mean = 15 in. and standard deviation = 0.8 in.

Then the percentage of the snakes is longer than 16.6 in. will be

[tex]z = \dfrac{ x - \mu }{ \sigma }\\\\z = \dfrac{16.6-15}{0.8}\\\\z = 2[/tex]

Then we have

[tex]\rm P(x > 16.6) = P(z > 2) = 0.02275 \ or \ 2.275 \%[/tex]

More about the normal distribution link is given below.

https://brainly.com/question/12421652

Answer:

D, 5%

Step-by-step explanation:

edge

F(x) =3x+8 find the inverse of f(x)

Answers

Answer:

Step-by-step explanation:

Hi!

To find the inverse, first we express your function as:

y = 3x - 8

Then, we interchange x and y variables:

x = 3y - 8

From there, we isolate y:

x + 8 = 3y

x/3 + 8/3 = y

Then, the inverse, g(x) = (x+8)/3.

We can check this by getting g(f(x)):

(f(x) + 8)/3 = (3x - 8 + 8)/3 = 3x /3 = x.

This is correct by the definition of the inverse function.

You can also think about the inverse as a "reverse function", so for example, in f(x) = 3x-8, x is multiplied by 3, then 8 is subtracted from it.

If we are to go from f(x) to x, we first add 8 (to reverse the subtraction), then divide by 3 (to reverse the multiplication).

This means g(y) = (y+8)/3, the same answer.

Hope this helps!

express 0.23 (bar) in the form of p/q

Answers

Answer:

[tex]0.\overline{23}= \frac{23}{99}[/tex]

Step-by-step explanation:

Let [tex]x = 0.\overline{23}[/tex]....(1)

Multiply both sides by 100.

[tex]100x = 23.\overline{23}[/tex]....(2)

Subtracting equation (1) from equation (2)

[tex]100x -x= 23.\overline{23}-0.\overline{23}[/tex]

[tex]\implies 99x= 23[/tex]

[tex]\implies x= \frac{23}{99}[/tex]

[tex]\implies\huge{\orange{ 0.\overline{23}= \frac{23}{99}}}[/tex]

The means and mean absolute deviations of sidney’s and phil’s grades are shown in the table below. means and mean absolute deviations of sidney’s and phil’s grades sidney phil mean 82 78 mean absolute deviation 3.28 3.96 which expression represents the ratio of the difference of the two means to sidney’s mean absolute deviation? startfraction 82 over 3.28 endfraction startfraction 4 over 3.28 endfraction startfraction 4 over 0.68 endfraction startfraction 82 over 0.68 endfraction

Answers

The expression that represents the ratio of the difference of the two means to Sidney’s mean absolute deviation is given by: Option B: 4/3.28

What is mean absolute deviation?

Mean absolute deviation is the average of the absolute deviation of each observation from their mean, for a considered set of observations.

For this case, the table of mean and mean absolute deviation is given as:

[tex]\begin{array}{ccc}&Mean&M.A.D.\\\text{Sidney}&82&3.28\\\text{Phill}&78&3.96\end{array}[/tex]

(M.A.D refers to Mean Absolute Deviation).

So, difference in their mean is 82 - 78 = 4

Absolute deviation  for Sidney is 3.28

Thier ratio is: 4/3.28

Thus, the expression that represents the ratio of the difference of the two means to Sidney’s mean absolute deviation is given by: Option B: 4/3.28

Learn more about ratio here:

https://brainly.com/question/12106245

Answer:

Option B: 4/3.28

Step-by-step explanation:

What is the area of the triangle shown below ?3.7mm 4.8mm

Answers

I can’t answer because I don’t have the picture of the triangle

Stella is creating a volcano in the shape of a cone for her science project. The height of the volcano is 12 inches and the radius of the base is 5 inches.

What is the slant height?

Answers

Answer: V≈314.16

Step-by-step explanation:

V=πr2h

3=π·52·12

3≈314.15927

Round 19525 to the nearest hundred​

Answers

19500 because the 5 is in the 100 Collum so you round the 2 down keeping it as a 5

Answer:19,500

Step-by-step explanation: Yw.

Find the volume of the pyramid.

A) 22 cm3
B) 264 cm3
C) 132 cm3
D) 44 cm3

Answers

264 cm3.
Length * width * height gives the volume of a shape.

What is the slope of the line in this graph? please help urgent

Answers

Answer:

  (b)  5/7

Step-by-step explanation:

When determining slope from a graph, it is convenient to locate points on the graph where it crosses grid lines. This graph crosses the origin, and the point (7, 5). The slope is found by counting grid squares or by the slope formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (5 -0) /(7 -0) = 5/7 . . . . . . . . . using points (0, 0) and (7, 5)

The slope of the line is 5/7.

pls help me


What is the volume of the figure?

Answers

Answer:

V = 76 ft³

Step-by-step explanation:

We can find the volume of the figure by finding the sum of volume of the small rectangular prism and big rectangular prism.

V of a rectangular prism = length*hight* width

V = V (big rectangular prism) + V (small rectangular prism)

V = (8·4·2) +(3·2·2)

V = 64 + 12

V = 76 ft³

Triple u then divide 3 by the result?

Answers

Answer:

[tex]beinggreat78~is~here~to~help![/tex]

The equation should look something like this.

[tex]\frac{u(3)}{3}[/tex]

Be careful with your use between cubing and multiplying; Cubing is multiplying the number by itself multiple times, while multiplying is like repeated adding, yet much easier.

In this case, if it says triple, I highly recommend multiplying by 3, which is what I did, it only looks different because it is in parentheses.

What have we learned?

We learned how to write algebraic equations, and some further information on multiplying.

Evaluate the formula for the perimeter of a rectangle to solve the problem. Then check all that apply.
ANSWERS:
First, write the formula for the perimeter of a rectangle: P = 2l + 2w.
Next, use parentheses when you substitute 50 for l and 25 for w.
After multiplying, add 100 and 50.
The school needs 5,000 meters of fencing.
The school needs 150 meters of fencing.

Answers

1. 2(8x – 1) + 2(2x + 4)

2. 16x – 2 + 4x + 8

3. (20x + 6)

Step-by-step explanation:

The perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6

The formula for calculating the perimeter of a rectangle is expressed as:

P = 2( l + w)

Given the following parameters

length l = 8x - 1

width w = 2x + 4

Substitute the expressions for the length and width into the formula;

P = 2(8x - 1 + 2x + 4)

P = 2(10x + 3)

Distribute 2 over each term in the parenthesis

P = 2(10x) + 2(3)

P = 20x + 6

Hence the perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6

if i help please give brainly

Answer:

below

Step-by-step explanation:

A B C E

all of them but D

The function y = x^4 - 16x^2 has zeros at x = -4, x = 0, and x = _ and a y-Intercept at (0, _)

Answers

Answer:x=4 (0,0)

Step-by-step explanation:

Determine the zeros of function,factor the functions. Set the factored function equal to 0 and solve. Then find the y-y-intercept of the given function by setting x equal to 00and Solving for y.

last question i have to ask ‘calculate the area of the shaded space’ please and thank you.

Answers

Answer:

21.5 square m

Step-by-step explanation:

You find the area of the shaded space by finding the area of the square and the removing the area of the circle.

The area for the square is 10x10=100.

All you have to do is follow the formula, (3.14)r^2. However, the 10 is NOT the diameter! The radius is half of the diameter. So, it's 3.14x5x5, which is 3.14x25=78.5.

Then, you can do 100-78.5=21.5

The table below shows a student's quiz scores on four quizzes.

Answers

Answer:

with aritmetical form u do this: 14+14+18+12=58

now 58/4=14.5

average score Is 14.5


A tank that holds 120 gallons is leaking at a rate of
gallon per hour. Wri
an expression that represents the amount of gallons left in the tank after h
number of hours.

Answers

Answer:h=120 - (120•1/4)

Step-by-step explanation:

Answer the one you would like!

Answers

first pic no 13

sec no 14

third no 15

shjdidifjie

A movie theater charges $10.50 per ticket and $5per bucket of popcorn. You never buy the popcorn because you think it's too expensive.
Is the total price you pay proportional to the number of tickets you buy?
Choose 1 answer:

(Choice A)
A
Yes

(Choice B)
B
No

Answers

Yes they are proportional

Answer:

A- yes

Step-by-step explanation:

If you never buy the popcorn because you think that it is too expensive then the only thing you are paying for is the tickets therefore the price you pay is proportional to the number of tickets you buy.

7. A spherical balloon has a circumference of 25 cm.
a.) What is the approximate surface area of the balloon to the nearest square centimeter?
b.) What is the approximate volume of the balloon to the nearest cubic centimeter?

Answers

Answer:

surface area of the balloon is 199 cm^2

Joe is 1.6 m tall. His shadow is 2 m long when he stands 3 m
from the base of a floodlight. What is the height of the floodlight?

Answers

Answer:

Step-by-step explanation:

Use the following system of linear equations to do the three tasks below.
x = y +3
Y=-4x-3
• Part A: Solve the linear system of equations by graphing.
• Part B: Use substitution to solve the linear system of equations.
• Part C: Use addition to solve the linear system of equations.
In your final answer, include all of your work, the graph of the equations and the solution.

Answers

Step-by-step explanation:

where the is y,you put the value of y 4x-3 and where the is x,put the value of x (y+3)

Which loan has the lowest total repayment?

Answers

Answer:   Loan B

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

Explanation:

Refer back to this related question

https://brainly.com/question/27362373

In that link I detail how to find that

Loan A has a monthly payment of $348.50Loan B has a monthly payment of $518.02

Loan A has a duration of 5 years, aka 5*12 = 60 months. Over those 60 months, you'll pay back a total of 60*348.50 = 20,910 dollars for loan A.

Loan B has a shorter duration of 3 years = 3*12 = 36 months. Therefore, you'll pay back 36*518.02 = 18,648.72 dollars in total for loan B.

---------------

Summary total repayment

Loan A = 20,910 dollarsLoan B = 18,648.72 dollars

We have loan B as the winner in terms of the lowest total repayment. The longer a loan is, the higher chances are that you'll pay back more in interest (thereby making the total repayment larger).

Answer :  

Loan B

Explanation :

Loan A's monthly payment → $348.50Loan B's monthly payment → $518.02

Cost of Loan A repayment

Duration = 5 years = 5 x 12 = 60 monthsCost = 60 x 348.50 = $20,910

Cost of Loan B repayment

Loan B has a shorter duration of 3 years = 3*12 = 36 months. Therefore, you'll pay back 36*518.02 = 18,648.72 dollars in total for loan B.

Duration = 3 years = 3 x 12 = 36 monthsCost = 36 x 518.02 = $18,648.72

Clearly, Loan B has the lowest total repayment.

i do not know this answer, i need help

Answers

Answer:

18 kilometers

Step-by-step explanation:

if you know the perimeter, then all you have to do is add up what you have, 10+7=17 and then subtract it giving you the bits that you dont know, so 35-17=18 kilometers.

Answer:

s = 9 Km

Step-by-step explanation:

the perimeter is the sum of the 4 sides

given perimeter = 35 , then

10 + 7 + s + s = 35

17 + 2s = 35 ( subtract 17 from both sides )

2s = 18 ( divide both sides by 2 )

s = 9 Km

The probability that the sample will accurately represent the target group within the margin of error is called the Group of answer choices confidence level. polling bias. margin of error. random sample.

Answers

Answer:

What is the probability of a sample mean?

The Probability of a Sample Mean The Probability of a Sample Mean We saw in the previous section that if we take samples, the distribution of the sample means will be approximately normal. This will hold true even when the underlying population is not normally distributed, provided we take samples of n=30 or greater.p-by-step

Part A
Which angles are congruent to ∠5 ? Select all that apply.
∠1
∠2
∠3
∠4
∠6
∠7
Part B
I m∠6 = 85° what is the measure of ∠3?

m∠3 =
°

Answers

part a: 1,3,5,7

part b: i’m not sure

Using the function f(x) = 32 * (3/4)z, evaluate the following mentally.
f(3) =

Answers

Answer:

I also need help with this I'm new to this app so id

which statement is true about credit cards?

Answers

Answer:

it doesnt say any statement at all can you add them

please help I don't know the median

Answers

Answer:8

Step-by-step explanation:

least to greatest:6,8,8,9,9

crossout the ends:6,9 and 8,9

what is left in the middle:8

Answer:

6

Step-by-step explanation:

Median is the middle of the data set which is 6.

Other Questions
a hot air balloon is currently 100 feet above the ground. After 5 minutes, the hit air balloon is 40 feet above the ground. write the equation for the relation The sciences used to study the land bridge include_________.a. climatology.b. environmental science.C. paleontology.d. all of the above. A) Find the area of each triangle.1)2 yd7 yd Both positive and negative reinforcement involve the likelihood of increasing a behavior. True False 1. Modern artists use rules that were developed in recent decades in order to produce realisticlooking structures in their drawingsTrueFalse2 Objects and figures that are drawn with correct proportions have a sense of order and balance TrueFalse3. What is proportion? A. how elements relate to each other and to the whole subjectB. How the whole subject is lighted and shadowed C. the outline of a subject and the lines of its partsD. the way elements of an artwork are placed on the paper4. What is another term for "Golden Mean"? (2 point)A. Golden ProportionB. Golden SectionC. Divine MeanD. Divine Section Question 9 of 15Which rhetorical device is most clearly shown in this passage?As a new homeowner, you're probably worried about the usual things:gas leaks, roof damage from trees, fires, and young kids knocking onthe door selling cookies.O A. AllusionB. JuxtapositionC. Personification X+10 please helpI really need help with inequalitys I will give 100 points for this answer no bull Ahmir agrees to purchase a shipment of oriental rugs from oriental rug company for the price of $50,000, to be delivered on august 15. on july 15, ahmir notifies oriental that he no longer wants to purchase the rugs. oriental spends $1,000 to advertise the rugs and obtains a new purchaser who buys the rugs for $40,000. oriental then sues ahmir for breach of contract. if oriental is successful in its breach of contract suit against ahmir, oriental may receive: Which of these sentences uses quotation marks and other punctuation correctly?O "Can I get a new cell phone." wondered Petra, "while I still have three months left on my old contract."O "Can I get a new cell phone?" wondered Petra, "While I still have three months left on my old contract?"O "Can I get a new cell phone?" Wondered Petra, "while I still have three months left on my old contract?"O "Can I get a new cell phone," wondered Petra, "while I still have three months left on my old contract?" People often stay away from situations in which they might discover facts or ideas that are inconsistent with their current views or behaviors. This could best be explained as an effort to avoid ___________: Escribe cinco oraciones combinando elementos de las tres columnas y los pronombres relativos necesarios.el periodista que hablar conmigoel lector en la que es ciegoel pblico el cual no tiene mucha informacinla seccin deportiva en el que no sabe nadala crtica de cine la cual A large box of crackers weighs 20 oz. If James needs 3 pounds of crackers for a party, how many boxes of crackers should he buy? [99 POINTS] A silo is formed by welding a cylinder to a half-sphere. The radius of the dome is 15 feet, and the total height of the silo is 100 feet.Dropdown 1: a) sphere b) cylinderDropdown 2: a) divide by 4, b) divide by 2, c) multiply by 2Dropdown 3: a) 100, b) 85, c) 70 please give me the working for this question and I promise to give you stars and mark you as brainliest thank you. Step 1: Determine which events to highlight.Your exhibit, collage, or pamphlet should include the following about the French Revolution:at least three causes, including the Enlightenmentat least three events that happened during the French Revolution, including the Reign of Terrorat least three effects of the French Revolution, including the rise and rule of NapoleonReview your Travel Journal and the lesson to identify what you think are the most important elements to include.Step 2: Write a summary for each cause, event, and effect.For each cause, event, and effect, write a paragraph explaining what happened and why it is important. Use complete sentences and check your work for accuracy, correct spelling, and proper grammar.Step 3: Organize your museum piece.Collect and organize the summaries into one exhibit, collage, or pamphlet about the French Revolution. Include at least one image to add interest to your submission. How many names did the average Roman male have? Which of the following addition problems yields a sum that is an irrational number? Select TWO that apply. (answers in picture) Area of polygons please help PLEASE HELP ME ASAPWhich of the watershed events for Sino-American relations in the early 1900s do these entries describe?A. the boxer rebellionB. the Russo-Japanese WarC. The Chinese Revolution of 1911D. The death of Empress Dowager Cixi When a certain number is divided by 20, the result is same when number is decreased by 361. What is the number?