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

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Related Questions

Padraig is a financial advisor. he earned a salary of $80,000 last year and sold stocks for $5,000. which of the following types of income did padraig have? i earned income ii passive income iii capital gains income a. i and ii b. i and iii c. ii and iii d. iii please select the best answer from the choices provided a b c d

Answers

The earned income is $80,000 and the capital income is $5,000. Then the correct option is B.

What is capital gain?

A profit in the value of an asset then an investor can make a profit by selling an asset. Then selling price of an asset must be greater than the cost of an asset.

Padraig is a financial advisor.

He earned a salary of $80,000 last year and sold stocks for $5,000.

A salary of $80,000 is known as earned income because of employment bases.

$5,000 is a capital gain because this is obtained from the selling of stocks.

The income gained by the interest income, rental income, or dividend income is known as passive income.

More about the capital income link is given below.

https://brainly.com/question/14103167

divide and simplify. − 8/ 15 ÷ − 3/ 5

Answers

-8 / 15 = -0.53333
-3 / 5 = -0.6
-0.53333 / -0.6 = 0.88888333

Emma buys a game for $26.84 she gives the clerk $30.00. List Emma’s change using the least amount of dollar bills and coins

Answers

Answer:

4 dollars, a dime, a nickel, and a penny

Answer:

4 dollars

1 dime

1 nickel

1 penny

Step-by-step explanation:

Which correctly ranks, from fastest to slowest, the time it will take one wavelength to pass a certain point? wave x → wave y → wave w → wave z wave z → wave w → wave y → wave x wave x → wave w → wave y → wave z wave z → wave y → wave w → wave x

Answers

The question refers to the speed of sound waves. The expression that shows the waves from the fastest to the slowest is option A. See attached for full question

What are sound waves?

A sound wave is the rhythm of disruption induced by the flow of energy as it propagates away from the source of the sound across a medium.

Why is option A the correct answer?

Option A - is the correct answer because the temperature of a medium ( which may be air, water, or solid matter) affects the speed at which waves of sound travel through it.

The faster sound waves flow through a medium, the higher its temperature. This is why Wave X will pass through the fastest at 33°C, followed by Wave W at 15°C, etc.

Learn more about Sound Waves at:
https://brainly.com/question/1199084

Answer:

C. Wave X --> Wave W --> Wave Y --> Wave Z

What is the radius and diameter of 4.2

Answers

Radius and Diameter of a Circle

The radius of a circle is the length between a circle's centre and edge.

The diameter of a circle is its radius doubled.

Solving the Question

The given diagram tells us the radius is 4.2 cm.

To solve for the diameter, multiply the given radius by 2:

4.2 × 2 = 8.4

Therefore, the diameter of the circle is 8.4 cm.

Answer

Radius: 4.2 cm

Diameter: 8.4 cm

7.9, 7.8, 7.7, 8.8, 9.2, 8.7, 7.3, 8.0, 7.9, 7.6

What is the Mean??

Answers

The mean is-8.9
The mode is-7.9
The range is 1.9
Median is- 7.9

Answer:

8.09

rounded to the nearest tenth ; 8.1

Step-by-step explanation:

Mean is adding all the data together than dividing by the number of data points

7.9 + 7.8 =

15.7 + 7.7 =

23.4 + 8.8 =

32.2 + 9.2 =

41.4 + 8.7 =

50.1 + 7.3 =

57.4 + 8.0 =

65.4 + 7.9 =

73.3 + 7.6 =

80.9

80.9 / 10 = 8.09

rounded to the nearest tenth = 8.1

Mrs. Cochran bought 1.5 lb. of ground beef.
How many ounces did she buy?

Answers

Answer:

24 oz

Step-by-step explanation:

16 oz to a pound

16 x 1.5 = 24 oz

Answer:

24 ounces

Step-by-step explanation: One pound equal 16 ounce plus a half a pound which is 8 equals 24

You received your $1,200 stimulus check from the government due to the coronavirus. If you choose to invest this into an investment account that pays 5.25% compounded continuously (rather than spending it), how long will it take to double your money?

Answers

Answer: IRS has sent $6 billion in stimulus payments just in June. Here's how to track your money Your stimulus check could be on its way, along with child tax credit money and unemployment tax refunds.

Step-by-step explanation:

How many milliliters are in 12.9 liters?

Answers

Answer:

12,900

Step-by-step explanation:

12.9 x 1000 = 12,900

Answer:

12,900. That is because you must multiply the amount to find the converted value, in this case, 12,900.

Given that a+b=7; and a-b=3.. find the following, 2^a*2^b ( 2 to the power of a * 2 to the power of b) Please help asap, Thanks! :)

Answers

Answer:

128

Step-by-step explanation:

first solve the equations. a+b=7. a-b=3. a=3+b .Hence a(3+b)+b=7. 3+b+b=7. 3+2b=7. 2b=7-3. 2b=4. b=2. a-2=3. a=5. 2^5×2^2=128

NEED HELP ASAP!!! 100 POINTS!!!!!!! look at pic

Answers

Answer:

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 3

Step-by-step explanation:

the coordinates of the points are

(1, - 6 ), (2, - 3 ), (3, 0 ), (4, 3 ), (5, 6 )

consider the values of y

- 6, - 3, 0, 3, 6

there is a common difference between consecutive terms, that is

- 3 - (- 6) = 0 - (- 3) = 3 - 0 = 6 - 3 = 3

this indicates the sequence is arithmetic with recursive rule

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + d ( d is the common difference )

here d = 3 , then recursive formula is

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 3 ; with a₁ = - 6

if your parents shop in maryland the sales tax is 6% if they buy $180 worth of groceries what is there total

Answers

You can do this problem in two ways.
Either the long way or the short and easy way.

Here is the easy way:

You do 180x1.06 to get you their total of $190.80


Or you can do the slightly longer way which finds you the tax amount which then you can add onto the total:

You do 180*0.06 which gets you $10.80 of tax. $10.80 is how much tax they have to pay on top of the $180, then we can do 180+10.80 to get us the grand total of $190.80.

Happy to help

If the price of 4 dozens pencils is Rs. 264, what will be the price of 50 pencils?​

Answers

Answer:

Rs. 275

Step-by-step explanation:

4 dozens = 4 × 12 = 48

4 dozens pencils = 48 pencils

48 pencils =  Rs. 264

1 pencil = Rs. 264÷48

1 pencil = Rs. 5.50

50 pencils = 5.50×50

50 pencils = Rs. 275

Answer:

Rs. 275

Step-by-step explanation:

4 dozens = 48 pencils

48 pencils = Rs. 264

Find the price of 1 pencil to calculate the price of 50 pencils.

264 ÷ 48 = 5.5

1 pencil = Rs. 5.5

50 x 5.5 = 275

50 pencils = Rs. 275

hope this helps!! p.s. i really need brainliest :)

The manager of a sporting goods store ordered 256 packages of football cards. There are 24 cards in each package how many cards did the manager order?

Answers

Answer:

6144

Step-by-step explanation:

The answer is 6144 because if you do 256×24 you will get 6144

A pharmacist orders medications for a total of $6,439.65.a 6 44% discount is given if payment is made within
15 days, and a 2.5% discount is given if payment is made within 30 days. how much money can be saved by paying in 15 days instead of 30 days?

Answers

Answer:

2,672.45475 (round if needed)

Step-by-step explanation:

44 percent to a decimal is 0.44

2.5 percent to a decimal is 0.025

6,439.65 × 0.44 = 2833.446 (within 15 days)

6,439.65 × 0.025 = 160.99125 (within 30 days)

2833.446 - 160.99125 = 2,672.45475

what are the guidlines

Answers

Answer:

A guideline is a statement by which to determine a course of action. A guideline aims to streamline particular processes according to a set routine or sound practice. 

The elongation α
of a planet is the angle formed by the planet, earth, and sun. it is known that the distance from the sun to venus is 0.723au
(see exercise 65 in section 6.2 ). at a certain time the elongation of venus is found to be 39.4∘.
find the possible distances from the earth to venus at that time in astronomical units (au).

Answers

The distance from the earth to venus is an illustration of the sine ratio

The distance from the earth to venus at that time is 1.12 au

How to determine the possibe distance?

See attachment for the diagram that illustrates the complete question.

Start by calculating the angle V using the following sine ratio

SE/sin(V) = VS/sin(E)

This gives

1/sin(V) = 0.723/sin(39.4)

Take the inverse of both sides

sin(V)/1 = sin(39.4)/0.723

Evaluate the quotient

sin(V) = 0.8779

Take the arcsin of both sides

V = 61.4

Calculate the measure of angle S

<S + <V + <E = 180

This gives

<S  = - <V - <E + 180

Substitute known values

<S  = -61.4 - 39.4 + 180

<S  = 79.2

The distance (VE) is then calculated using the following sine ratio

VE/sin(S) = VS/sin(E)

This gives

VE/sin(79.2) = 0.723/sin(39.4)

Multiply bot sides by sin(79.2)

VE = sin(79.2) * 0.723/sin(39.4)

Evaluate the product

VE = 1.12

Hence, the distance from the earth to venus at that time is 1.12 au

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help me please????? thanks!​

Answers

Step-by-step explanation:

11

because the first digit after the point make the the nearest whole number

if the digit is up to 5 and above then we can round up the next digit but if it's less than 5 you can't do anything

subtract (3√3+4√5) from (3√5-4√3) can someone please help me with this ASAP

Answers

Answer: [tex]\bold{-\sqrt{5}-7\sqrt{3}}}[/tex]

Step-by-step explanation:

[tex]\left(3\sqrt{5}-4\sqrt{3}\right)-\left(3\sqrt{3}+4\sqrt{5}\right)[/tex]

[tex]=3\sqrt{5}-4\sqrt{3}-3\sqrt{3}-4\sqrt{5}[/tex]

[tex]\mathrm{Add\:similar\:terms:}\:3\sqrt{5}-4\sqrt{5}=-\sqrt{5}[/tex]

[tex]=-\sqrt{5}-4\sqrt{3}-3\sqrt{3}[/tex]

[tex]\mathrm{Add\:similar\:terms:}\:-4\sqrt{3}-3\sqrt{3}=-7\sqrt{3}[/tex]

[tex]{=-\sqrt{5}-7\sqrt{3}}[/tex]

3. Two of the lines below are parallel. Which two? Justify your answer.
y= 3x - 5 y=-3x + 7 y - 3x = -12 y + 1/3x=8​

Answers

Answer:

line 1 and 3

Step-by-step explanation:

hello!

Parallel lines have the same slope.

So if we're asked to identify a pair of parallel lines, we can just take a look at the slope (the number before x)

The first one is y=3x-5. Okay.

The second one is y=-3x+7. So the second line isn't parallel to the first line.

The third line is y-3x=12, or y=3x+12.

So the 3rd line is parallel to the 1st line :)

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

tan x * csc x = sec x

Answers

Answer:

see explanation

Step-by-step explanation:

using the identities

tanx = [tex]\frac{sinx}{cosx}[/tex] , cscx = [tex]\frac{1}{sinx}[/tex] , secx = [tex]\frac{1}{cosx}[/tex]

consider left side

tanx × cscx

= [tex]\frac{sinx}{cosx}[/tex] × [tex]\frac{1}{sinx}[/tex] ( cancel sinx on numerator/ denominator )

= [tex]\frac{1}{cosx}[/tex] × 1

= secx = right side

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

CHOOSING BRAINLIEST
A counselor determined that 60% of the senior class had taken a precalculus course and that 15% of the senior class had taken both a precalculus course and a statistics course?
What percentage of seniors who took a precalculus course also took a statistics course?

Answers

Using conditional probability, it is found that 25% of seniors who took a precalculus course also took a statistics course.

What is Conditional Probability?

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.

In this problem, the events are:

Event A: Senior student took a precalculus course.Event B: Senior student took a statistics course.

The probabilities given are [tex]P(A) = 0.6, P(A \cap B) = 0.15[/tex].

The desired probability is P(B|A), hence:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.6} = 0.25[/tex]

0.25 = 25% of seniors who took a precalculus course also took a statistics course.

More can be learned about conditional probability at https://brainly.com/question/14398287

4/8 + 8 7/8 (this is fractions)

Answers

Answer:

9 3/8 as a fraction or 9.375 as a decimal

Step-by-step explanation:

4/8 + 8 7/8 = 75/8= 9 3/8= 9.375

The answer in fractions is 9 3/8

Maryam scored an 8 out of 10 on her spelling test one week. The next week, her score decreased by 25%. What was her score for the second week?

a.) 5 out of 10
b.) 6 out of 10
c.) 7 out of 10
d.) 4 out of 10

Answers

C) 7 out of 10
Hope it helps!!!

HELP PLEASE?!!
Taking post test: exponential and logarithmic functions

Answers

Answer:

k = 2

Step-by-step explanation:

f(2) = 1
g(2) = 2

g(x) is double of f(x)

Find the surface area of this figure.

Answers

Answer:

  592 in²

Step-by-step explanation:

The surface area is the sum of the areas of the rectangles shown in the figure.

__

The light blue central rectangle is 12 in wide and a total of 36 in tall. Its surface area is ...

  A = LW = (12 in)(36 in) = 432 in²

The two identical darker blue rectangles on the sides are each 8 in by 10 in, so their total area is ...

  A = 2(LW) = 2(8 in)(10 in) = 160 in²

The total surface area of the figure is (432 +160) in² = 592 in².

Chapter 9: Volumes of Pyramids > Section Exercises 9.5 > Exercise 21
For the given angle measure, find the measure of a supplementary angle and the measure of a complementary angle, it possible. If not possible, type the word none in lowercase
letters in the box
27
The supplementary angle is:

The complementary angle is:

Answers

Answer:

The complementary angle is 63 degrees and

The supplementary angle is 153 degrees.

Step-by-step explanation:

A complementary Angle has a total of 90 if you subtract 27 from 90 you will get 63

A supplementary adds up to 180 degrees so subtract 27 and you will get 153.

Hope that helps.

Answer:

Supplementary angle = 153°

Complementary angle = 63°

Step-by-step explanation:

Supplementary angles: Two angles that sum to 180°

Complementary angles: Two angles that sum to 90°

Given angle = 27°

⇒ Supplementary angle = 180° - 27° = 153°

⇒ Complementary angle = 90° - 27° = 63°

Why would neighborhoods with more station wagons tend to have more
playgrounds?
A. Adoring crowds of children like to follow station wagons to the
nearest playground.
B. Playground equipment dealers tend to buy station wagons and
then have kids to fill them.
C. Families with children tend to own station wagons and move to
neighborhoods with playgrounds.
D. Playgrounds are made from former used car lots (which used to
sell station wagons).
O E. Station wagon owners like to build playgrounds.

Answers

Answer:

C

Step-by-step explanation:

Based on my knowledge, thast what i think it is, but im not sure

Is (10, 8) a solution to this system of equations?
2x - 5y = -20
X + 9y = 14
A
O a. Yes
b. No

Answers

Answer: No, there isn't anything showing that it is.

No

Step-by-step explanation:

Substitute value of x (10) & y (8) in both equation

x + 9y =14

10 + 9 x 8 = 82

(doesn't give us the output of 14)

2x - 5y = -20

2 x 10 - 5 x 8 = - 20

(this does, but both have to work)

Solution is at (-4.8,2.1):

2x +18y =28

2x - 5y = -20

(minus)

(18 - - 5 & 28 - - 20 those minus becomes a + )

23y = 48

÷23

y= 48/23

(2.1 to 1d.p)

Substitute y to find x

2x - 5y = -20

2x - 5 x 48/23 = - 20

2x - 240/23 = - 20

+240/23

2x = -220/23

÷2

x = - 110/23

X= -4.8 to 1d.p

(-110/23, 48/23)

Hope this helps!

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