UNIT 5: CEREAL BOX PROJECT / PORTFOLIO
HELP

UNIT 5: CEREAL BOX PROJECT / PORTFOLIO HELP

Answers

Answer 1

Using the formula for volume and surface area of solids, we have the following:

1. 180 in.³; 258 in.²; $12.9

2. 144 in.³; 184 in.²; $9.2

3. 75 in.³; 228 in.²; $11.4

What is Volume and Surface Area?

Volume of a rectangular prism = l × w × h

Surface area of a rectangular prism = 2(wl+hl+hw)

Volume of a square pyramid = 1/3 × a² × h

Surface area of a square pyramid = a² + 2al

Volume of a cylinder = πr²h

Surface area of a cylinder = 2πr( h + r)

1. Volume of the rectangular prism cereal box = 7.5 × 2 × 12 = 180 in.³

Surface area of the rectangular prism cereal box = 2(wl+hl+hw) = 2(2 × 7.5 + 12 × 7.5 + 12 × 2) = 258 in.²

Cost of material for the the rectangular prism cereal box = 258 × 0.05 = $12.9.

2. Volume of the square pyramid cereal box = 1/3 × a² × h = 1/3 × 6² × 12 = 144 in.³

Surface area of the square pyramid cereal box = a² + 2al = 6² + 2(6)(12.3) ≈ 184 in.²

Cost of material for the the square pyramid cereal box = 184 × 0.05 = $9.2.

3. Volume of the cylinder cereal box = πr²h = π(2.5²)(12) = 75 in.³

Surface area of the cylinder cereal box = 2π(2.5)(12 + 2.5) ≈ 228 in.²

Cost of material for the the cylinder cereal box = 228 × 0.05 = $11.4.

Learn more about the surface area and volume of solids on:

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Related Questions

25% of z is 150. Find the value of z.
(Can y’all show your work on this so I know how you got it)

Answers

The answer is 600
25 x 4 =100
150 x 4 = 600
checking work
.25 x 600= 150

Answer:

z = 600

Step-by-step explanation:

Method 1 - ratios

If 150 is 25% then z is 100%:

[tex]\begin{aligned} 150 : 25 & = z : 100\\\dfrac{150}{25} & = \dfrac{z}{100}\\150 \cdot 100 & = 25z\\15000 & = 25z\\z & = \dfrac{15000}{25}\\z & = 600 \end{aligned}[/tex]

Method 2

Calculate the amount for 1%, then multiply by 100% to find z:

25% = 150

⇒ 1% = 150 ÷ 25 = 6

⇒ z = 100% = 6 x 100 = 600

What are the period and amplitude
of the function?

period T; amplitude : 1.5

period T; amplitude
3

period : z; amplitude : 1.5
O period
~; amplitude : 3

Answers

Answer:

period is pie/2 and amplitude is 3

the meaning of amplitude is on the photo

Given the regular polygon ABCDEF with side lengths of 16 km, find the area of the shaded region. Round your answer to the nearest tenth.

Answers

The hexagon surface area is the amount of space on it

The surface area of the hexagon is 665.11 square centimeters

How to determine the surface area?

The question is incomplete, as the diagram is not given.

So, I will calculate the surface area of the hexagon.

The side length of the hexagon is given as:

L = 16 km

The surface area of the hexagon is calculated using:

A = 1.5[tex]\sqrt3[/tex]L^2

This gives

A = 1.5 * [tex]\sqrt3[/tex] * 16^2

Evaluate the product

A = 665.11

Hence, the surface area of the hexagon is 665.11 square centimeters

Read more about area at:

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what is the expanded form of 812004?​

Answers

Answer:INDIAN SYSTEM

8,00,000 + 10,000 + 2,000 + 4

Eight Lack Twelve Thousand And Four

INTERNATIONAL SYSTEM

800,000 + 10,000 + 2,000 + 4

Eight Hundred And Twelve Thousand And Four

hope this is the expected answer!!,if it is correct/satisfying then PLS mark Brainlist

(: !!HAVE A NICE TIME!! :)(: !!STAY SAFE!! :)

What is the multiplier for a 58% decrease

Answers

Answer:

A. 0.58

Step-by-step explanation:

HELP PLEASE <3

What is the area of the circle with the equation 2x2 + 2y2 = 8?

show work pls !!

Answers

Answer:

4pi

Step-by-step explanation:

Divide through by two to get

x^2 + y^2 = 4       4 = radius squared     radius = 2

area = pi r^2 = 4 pi

Answer: 4π

Step-by-step explanation:

Under the assumption that those are exponents, and your equation is:

[tex]2x^2+2y^2=8[/tex]

You first must turn this circle equation into standard form. The standard form for the equation of a circle is as follows:

[tex](x-a)^2+(y-b)^2=r^2[/tex]

For your case, the constants 'a' and 'b' are clearly zero. We have an annoying coefficient of 2 which can be cancelled by dividing both sides by 2:

[tex]x^2+y^2=4[/tex]

If you'd like, we can write this in the following way:

[tex](x-0)^2+(y-0)^2=2^2[/tex]

So, our circle is centered at the origin (0, 0) and has a radius of 2 units. The area of a circle is given by the formula:

[tex]A=\pi r^2[/tex]

[tex]A=\pi (2^2)=4\pi[/tex]

Simplify
chapter name:rationalization of surds

Answers

[tex] \frac{ \sqrt{6} }{ \sqrt{2} \times \sqrt{2} } [/tex]

[tex] \frac{ \sqrt{6} }{2 \sqrt{2}} [/tex]

[tex]\frak{\fcolorbox{black}{pink}{Black Pink in your area$~$}}[/tex] ~←(>▽<)ノ

Answer:

Step-by-step explanation:

Please help me it’s due today

Answers

Answer:

Northside

Median: 36

Range: 32

IQR: 17

Southside:

Median: 39

Range: 38

IQR: 22

Step-by-step explanation:

Northside first

Order the ages from least to greatest

24, 28, 32, 32, 32, 36, 41, 44, 49, 49, 56

Median is 36 since it's in the middle

Subtract the greatest number from the smallest number to find the range (56-24) = 32

To find the IQR you need the ages least to greatest

24, 28, 32, 32, 32, 36, 41, 44, 49, 49, 56

Find the lower quarter = 32

Find the upper quarter = 49

Subtract 49 and 32 (49-32) = 17

Southside

The Median is the line at the middle of the box, in this case its between 38 and 40 which is 39.

The range is 61 - 23 = 38 (Greatest - least)

The IQR is 52 - 30 = 22

Hope this helps!

Which of the following are solutions to the inequality below? Select all that apply.

4 ≥
r

Answers

Answer:

r=1

Step-by-step explanation:

1 is lower than for. The sign also suggests that its could be 4 as well

Please Help Me!
Milk is on sale for 40% off when it is normally $3.75 per gallon. How much will a gallon of milk cost?

The discounted price for milk is $_____(Round to the nearest cent.)

Answers

Answer:

$2.25 is the discounted price for each gallon.

Step-by-step explanation:

So you take 40% and convert it into decimal form, which is 0.4. Then you take $3.75 x 0.4 = 1.5. Then subtract $1.50 from $3.75, and that equals $2.25 each gallon.

Have a nice day!

it math questions: true or false!​

Answers

Answer:

1 true 2true 3false 4true 5 true

Answer:

1: True 2: False 3: True 4: True 5: False

A horse-drawn carriage tour company has found that the number of people that take their tour depends on the price charged per customer. The more the company charges for a tour, the fewer people decide to take the tour.

The function c(x)=50+5x represents price charged per customer where x is the number of $5 increases they charge over a rate of $50 per person.

The function p(x)=100−2x represents the number of customers expected for the day, where x is the number of $5 increases they charge over a rate of $50 per person.



What does (p⋅c)(2) mean about the horse-drawn carriage tour company?




The horse-drawn carriage tour company can expect to take in $3760 when the charge per customer is $40.

The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.

The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $40.

The horse-drawn carriage tour company can expect to take in $3760 when the charge per customer is $60.

Answers

Answer:

B. The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.

Step-by-step explanation:

We have,

The function representing the price charged by the customers is .

The function representing the number of customers is .

Then, the product of the functions is given by,

Substituting x = 2 in the above product gives,

Also, the charge per customer when x = 2 is,

Hence, the product (p-c)(2) represents,

B. The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.

Answer:

The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.

Step-by-step explanation:

Ex. 3 A printing press prints 120 sheets in 3 min . ( 1) Express the printing as a rate. ( 2) How many sheets are printed in 1 h? (3) How long will it take to print 1000 sheets?

Answers

Answer:

a 40 sheets/min

b 2400 sheets

c25mins

Step-by-step explanation:

a

120/3=40 sheets /min

b

40*60=2400

c

1000/40=25

Answer:

1) 40 sheets/minute 2) 2400 3) 25 minutes

Step-by-step explanation:

Solve 3x2 = -12x - 15.
Ox= -4 + 2i
Ox=-4+1
Ox=-2 + 2i
Ox= -2

Answers

Answer:

x = -2 - i,  -2 + i.

Step-by-step explanation:

3x2 = -12x - 15

3x^2 + 12x + 15 = 0

Divide through by 3:

x^2 + 4x + 5 = 0

x^2 + 4x = -5

Completing the square:

x^2 + 4x + 4 = -5 + 4

(x + 2)^2 = -1

x + 2 =  √-1 = i

x = -2 - i, -2 + i.

CAN SOMEONE PLEASE HELP ME WITH THIS!! ILL GIVE YOU BRAINLIST ANSWER
IMAGE DOWN BELOW!

Answers

how long is |MN| when you measure it and do you know anything about the length of |NO| and |OP|?

assuming |MN|= 7.7 ; |NO|= 4.7 ; |MO|= 5.5:

o²= m²+n²

= 4.7²+5.5²

=52.34

o=V52.34

≈7.23

9 1/10 - 4 3/4

Help please

Answers

Answer:

[tex]4\frac{7}{20}[/tex]

Hope This Helps! :)

Answer:

[tex]4\frac{7}{20}[/tex]

Step-by-step explanation:

[tex]9\frac{1}{10}-4\frac{3}{4}[/tex]

Convert in improper fractions:

[tex]\frac{10*9+1 }{10} -\frac{4*4+3}{4}\\\\\frac{90+1}{10}-\frac{16+3}{4}\\\\\frac{91}{10}-\frac{19}{4} < ==find\ the\ LCM\ or\ the\ common\ denominator\ for\ 10\ and\ 4\ (20)\\\\\frac{182}{20} -\frac{95}{20}\\\\ \frac{87}{20} < ==convert\ to\ a\ mixed\ fraction\\\\ 4\frac{7}{20}[/tex]

Multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40

Multiples of 10:

10, 20, 30, 40

LCM of 4 and 10 is 20.

Hope this helps!

What is the domain of the function graphed below?

Answers

Answer:

The second option

Step-by-step explanation:

Hello!

The domain of a graph is the interval in which the graph is on the x values.

This graph has all the x values that are greater than or equal to -3, as the graph is to the right of it.

The answer would be the second option: [tex]D : x/x \geq -3[/tex]

The range is the y-values of the graph. The y value of this graph is above 0, so it would be y ≥ 0

Find the perimeter of each figure. 6 cm 2 cm 2 cm 6 cm

Answers

Answer:

That's not full question

Please help with algebra

Answers

Answer:

54%

Step-by-step explanation:

A study of a population of 1,200 tigers revealed that 6 out of every 150 tigers in the
population are albino. Based on the results of this study, how many tigers in the population
are NOT albino?

Answers

Answer:  1152

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

Explanation:

6/150 = 0.04 = 4% of the population are albino.

That leaves 100% - 4% = 96% that aren't albino.

96% of 1200 = 0.96*1200 = 1152

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

Another way to look at it:

4% of the population are albino, so there are 0.04*1200 = 48 albino tigers.

This means there are 1200-48 = 1152 non-albino tigers.

A box of Cheerios is 2 inches wide, 8 inches long, and 12 inches high. The box is half empty. What is the
volume of Cheerios left in the box?

HELPPP

Answers

Answer: 96

Step-by-step explanation: formula for volume is lwh. 2 times 8 times 12 equals 192. divide that by 2 because there is only half left.

Calculate the constant difference
1,2,3

Answers

1

Step-by-step explanation:

Seeing its an arithmetic sequence

T1=1......T2=2.....T3=3

To get your constant difference

T2=T1 is also equals to T3=T2

so 3-2=1 and 2-1=1

therefore the constant difference is 1

A) tan
B) tan^2
C) 1
D) -1

Answers

Answer:

A) [tex]\tan \theta[/tex]

Step-by-step explanation:

[tex] \frac{\sin \theta}{ \sqrt{1 - { \sin}^{2} \theta } } \\ \\ = \frac{\sin \theta}{ \sqrt{ { \cos}^{2} \theta } } \\ \\= \frac{\sin \theta}{{ { \cos} \theta } } \\ \\ = \tan \theta[/tex]

Find the area of each circle with the given radius or diameter. Use 3.14 for pi.

Answers

Answer: (Note*: Radius is half of the diameter, so the d = 2 and d = 12 have been converted into radius's instead to solve the problem).

r^2 = 4 in: 50.24 in^2.

r^2 = 2 in: 12.56 in^2.

d = 2 or r^2 = 1 in: 3.14 in^2.

r^2 = 8 in: 200.96 in^2.

d = 12 or r^2 = 6 in: 113.04 in^2.

Step-by-step explanation: To find the area of a circle, you need the radius squared times pi, which is 3.14.  The following is solved below:

4^2 x 3.14 = 50.24 in^2.

2^2 x 3.14 = 12.56 in^2.

1^2 x 3.14 = 3.14 in^2.

8^2 x 3.14 = 200.96 in^2.

6^2 x 3.14 = 113.04 in^2.

Therefore, the following above are the answers you need.

Let me know if this is right! :)

Answer:

r = 4.)  50.24

r = 2.) 12.56

d = 2.) 3.14

r = 8.) 200.96

d = 12.) 113.04

Step-by-step explanation:

The formula for finding the area of a circle would be π(pi) x r (radius)²

1.) r = 4

4 x 4 = 16

16 x 3.14 = 50.24

2.) r = 2

2 x 2 = 4

4 x 3.14 = 12.56

3.) d = 2

2 ÷ 2 = 1

1 x 1 = 1

1 x 3.14 = 3.14

4.) r = 8

8 x 8 = 64

64 x 3.14 = 200.96

5.) d = 12

12 ÷ 2 = 6

6 x 6 = 36

36 x 3.14 = 113.04

-kiniwih426

Helppp plssssss!!!!!!

Answers

1) Not Congruent

2) Congruent

3) Congruent

4)Congruent

What is the product of 6 square root 3 and 3 square root 6 in simplest radical form

Answers

Answer:

54√2

Step-by-step explanation:

6√3 × 3√6 =

( 6 × 3 ) × [tex]\sqrt{3*6}[/tex] =

18√18 = 18√(2×9) =

18 ( √2 × √9 ) =

(18 × 3)√2 = 54√2

The product of 6 square root 3 and 3 square root 6 in the simplest radical form will be 54 square root 2.

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 two terms are 6√3  and 3√6.

We have to find the product of the given terms,

Radical notation is the term for an expression that employs a root, such as the square or cube root.

=6√3 × 3√6

=( 6 × 3 )√( 6 × 3 )

=18√18

= 18√(2×9)

=18 ( √2 × √9 )

=(18 × 3)√2

= 54√2

54√2 is the term shown in the radical form.

Thus, the product of 6 square root 3 and 3 square root 6 in the simplest radical form will be square root 54.

Learn more about the arithmetic operation here:

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#SPJ2

please help like i really need it

Answers

Answer:

145 degrees.

Step-by-step explanation:

It is 180 minus 35 because they always have to equal 180 so I subtracted 180 by 35

Is the inequality below true or false, if m m+9 True
False

Answers

The answer should be true

determine if - 2r + 6r^5 + sr is a polynomial or not. if it is a polynomial, state the type and degree of the polynomial​

Answers

The polynomial, - 2r + 6r^5 + sr is a trinomial.

The degree of the polynomial is 5.

What is a Polynomial?

A polynomial can be defined as an algebraic expression that consists of constants, variables, and positive exponents.

The degree of a polynomial is dependent on the highest exponent value carried by any of the terms. Also, the number of terms a polynomial has determines what type of polynomial it is.

Given the polynomial, - 2r + 6r^5 + sr:

It has three terms, therefore, it is a trinomial.

The degree of the polynomial is 5.

Learn more about polynomials on:

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Find the H.C.F and L.C.M. of the following.
(a)336,22,4

Answers

Answer:

hcf=2 lcm=3696

Step-by-step explanation:

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