A cylindrical of oatmeal canister has a diameter of 4 inches and a height of 10 inches. The manufacturing company wants to package the oatmeal in square containers to cut back on wasted storage space. If the new carton has a square base with 4 inch sides, what is the minimum height it must have, to the nearest 1/4 inch, to hold the same volume of oatmeal? Use 3.14 for the value of π.

Answers

Answer 1

Step-by-step explanation:

Volume of cylinder = pi r^2 h

Volume of square container = s x s x h

they need to be equal

pi r^2 h = s^2 h

pi (2)^2 * 10   = 4^2 h            (diameter = 4   then radius = 2)

40pi / 16 = h = 7.9 in  = ~ 8 in   to the nearest 1/4 inch


Related Questions

Honors Refresher Quiz #8 1. If a figure is dilated by a scale factor of 12, the area of the figure will change by a factor of​

Answers

Answer:144

Step-by-step explanation:

When area is dilated you have to multiply the dialation factor by itself, in this case (12 x 12)

Answer to the question is 144

CAN SOMEONE PLEASE DRAW DOTS WHERE THE ANSWER IS!! PLLSSS + BRAINLIEST
_____
One of the tables shows a proportional relationship.
Graph the line representing the proportional relationship from this table.
(answers in the pictures below) tyysmm

Answers

Answer: 1,2 0,0 -2,-4

Help me please!!!!!! ty!

Answers

Answer:

4096/729

Step-by-step explanation:

((-4/3)^2)^3


(16/6)^3


4096/729

(-4/3)^2 = 16/6 because squaring of negative numbers always leads to positive numbers

PLS HELP QUESTION ON PIC PLSSSSSSSSSSSSSS

Answers

Answer:

Step-by-step explanation:

$3.50


50*.07=3.5

Answer:

3.5

Change 7% as a fraction

7%=7/100

Multiply 7/100*50

350/1003.5

Step-by-step explanation: Hope thish helps . Mark me brainliest!

Could someone please help me

Answers

Answer: Answer:

Step-by-step explanation: Step-by-step explanation:

Compare the theoretical and experimental probabilities. Jayson draws a card from a​ deck, replaces​ it, and draws again. He records the number of times he draws a queen.

Number of Trials: 20, 25, 100
Number of Queens: 5, 3, 9

The theoretical probability is: ?%

Answers

ANSWER:divide 20/5, 25/3, 100/9 those answers are: 4, 8.3, 11.1. All we really need is 100/9=11.1 because it wants a percent so the answer is 11.1%

The statement that is false on Jose drawing cards from the deck is B. For a given number of selections, we can use Joseph's graph to find the number of diamonds that he has picked so far.

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

given that,

Jose draws a card from a deck replaces it and draws again he records a number of times he draws an ace. He decides to record the total number of aces that he selects and calculates the proportion of aces that he has selected so far after each pick. He then constructs a graph to visualize his results.

as the graph can not be used:

Jose only recorded the number of aces he selected, not the number of diamonds. Therefore, we cannot use his graph to find the number of diamonds he picked.

However, if we were to use the graph to find the number of aces that Jose has picked so far, then we would be successful. The other statements are true as Jose recorded the cards he took and the cards were replaced after each pick.

Find out more on probability at

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The full question is:

Jose draws a card from a deck replaces it and draws again he records a number of times he draws an ace. He decides to record the total number of aces that he selects and calculates the proportion of aces that he has selected so far after each pick. He then constructs a graph to visualize his results. Which of the following statements is FALSE?

A. The theoretical probability for selecting an in each pick is 1 / 13.

B. For a given number of selections, we can use Jose's graph to find the number of diamonds that he has picked so far.

C. This is an example of the law of large numbers.

D. The relative frequency of selecting an ace changes with the increase in number of selections.

or
Hayley invited a friend over for dinner. She wants to make personal pies to serve for dessert. Hayley makes 1
1
5
cups of dough to use for the crust and splits the dough evenly between 2 pies. How much dough does Hayley use for each pie?
Use the model to help answer the question.

Answers

Answer:

Step-by-step explanation:

two

Can someone help?- I will mark brainliest !!

Answers

It is proportional by 2/3 because if you put y/x and simplify the fraction you get that each fraction is simplified to 2/3 which means they are proportional. I hope this helps. If not make a comment and ask.
2/3, you can tell by the y divided by x and simplify it

LeBron tosses a coin and chooses a card from a deck that has the numbers 1 - 4. Answer the questions below to organize the possible outcomes for tossing a coin and choosing a card from a deck that has the numbers 1 - 4.

a. Complete the tree diagram to show the possible outcomes.
b. Complete the list to show the possible outcomes.
c. Complete the table to show the possible outcomes.
d. Count all the possible outcomes from the tree diagram, list and table.
How many possible outcomes are there for tossing a coin and choosing a card from a deck that has the numbers 1 - 4?

Answers

Answers:

1a: The first tree diagram is H - 1, H - 2, H -3, H - 4
     The second tree diagram is T - 1, T- 2, T - 3, T - 4

1b: H,1 ║ H,2 ║ H,3 ║ H,4
     T,1 ║ T,2 ║ T,3 ║ T,4

1c: ║≡≡║   1  ║   2  ║   3  ║  4  ║
    ║ H ║ H1 ║ H2 ║ H3 ║ H4 ║
    ║ T  ║ T1 ║ T2  ║ T3 ║ T4 ║

1d: There are 8 possible outcomes for tossing a coin and choosing a card
     from a deck that has the numbers 1-4.

Hope this helps. I couldn't make a tree diagram. The list and the table are both wonky. Sorry for that, I'll also add a picture with the answers directly on the sheet :)

(Translations LC)

Use the graph to answer the question.

Graph of polygon ABCD with vertices at 1 comma negative 1, 3 comma negative 5, 7 comma negative 5, 5 comma negative 1. A second polygon A prime B prime C prime D prime with vertices at 1 comma negative 6, 3 comma negative 10, 7 comma negative 10, 5 comma negative 6.

Determine the translation used to create the image.

5 units down
5 units up
1 unit down
1 unit up

Answers

The translation used to create the image include the following: A. 5 units down.

What is a translation?

In Mathematics and Geometry, the translation of a geometric figure or graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image;

g(x) = f(x + N)

Conversely, the translation a geometric figure downward simply means subtracting a digit from the value on the positive y-coordinate (y-axis) of the pre-image; g(x) = f(x) - N.

Based on the information provided, we have:

(x, y)                               →                  (x + h, y + k)

(1, -1)                              →                   (1, -6).

1 + h = 1

h = 1 - 1

h = 0

-1 + k = -6

k = -6 + 1

k = -5.

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What is likely to have a mass close to 3 kilograms
A. 5-year-old-child
B. A Bowling ball
C. A lemon
D. A lion

Answers

B. A Bowling ball

3 kilograms is approximately 7 pounds, the weight of most Bowling balls

B. A Bowling ball

Step-by-step explanation:

Options A and D are most likely to weigh more than 3kg and option C will most likely weigh less but option B can weigh up to 3kg

A certain type of cereal costs $3.79 for 19.5 ounces.
What is the unit rate?
Enter your answer, rounded to the nearest cent, in the box.

$__per oz.

Answers

Answer:

To find the unit rate, we divide the total cost by the total number of ounces:

Unit rate = total cost ÷ total number of ounces

Unit rate = $3.79 ÷ 19.5 ounces

Unit rate = $0.194 per oz.

Rounding to the nearest cent, the unit rate is $0.19 per oz.

Step-by-step explanation:

ABOVE

rounding the answer is 0.19 per oz

A startup software company’s total investment for the first two years is $24,894. Write and solve an equation to find the investment for the second year if the first year’s investment is $12,955.

Answers

Answer:x=9689

Step-by-step explanation:based on given conitions,formulate:13205+x=22894

Answer:

12,955 + x = 24,894

x = 11,939

Marvin was in charge of ordering sodas for the class fundraiser. He made a circle graph to show the number of each size of soda. However, he accidently put his work in the graph showing the degree measures he used to make the chart instead of the number of sodas he needed and he threw away his original paper showing the number of each. Help him figure out how many of each size of soda he needs to order by answering the questions below. (Hint: There are 360 degrees total in a full circle.)

Answers

Answer:

for a: small=17% medium=38% large=33% extra large=13%

Step-by-step explanation:

Small17% medium=38% large=33%

What changes would you make to solve any problems you might have in your society?

Answers

I would change the way people view others, because if we all have the right view of each other we will understand that we all have different opinions and that is okay.
I would stop people from ruining the environment!

Solve for x.

A) 30
B) 45
C) 60
D) 90

Answers

180-90=90
2x+x=90
3x=90
X=30
A
( A) the answer to this question is A

CAN SOMEONE PLEASE ANSWER ALL THESE QUESTIONS!! I WILL K1LL FOR THE ANSWERS RNN PLEASE
(BRAINLIEST + 80 POINTS?)
ANSWER ALL OF THEM PLSS!!
________
Either Table C or Table D shows a proportional relationship.
Plot all the points from the table that shows a proportional relationship.
Table C: (x,y) -- (2,1) (4,3) (6,5) (8,7)
Table D: (x,y) -- (2,1) (6,3) (8,4) (10,5)
________
One of the tables shows a proportional relationship.
Use the points from this table to graph the line representing the proportional relationship.
(graph and x and y coordinates below)

Answers

1. Since 2 data points are given we can find the constant rate of change (slope )
Y2-y1/x2-x1
(5,225)
(3,135)
225-135/5-3
90/2= 45
Answer= 45

2. Similar to the last
( 6,82.80)
(2,27.60)
82.80-27.60/6-2
55.2/4=13.8
Answer=13.8

C and D question

C shows a proportional relationship

Answer:

Ay bro give this man above me brainliest, he explained everything so perfectly

just do it :)

The Perseverance Mars rover uses a special coring bit to drill out a rock cylinder 13 mm in diameter. As the rover drills, the rock core moves into one of 38 sample tubes. If the coring bit collects a rock cylinder 60 mm in length, what is the volume of the rock in the sample tube?

Answers

Answer:

235

Step-by-step explanation:

Which number is equivalent to 0.51 repeating

Answers

Hello we don’t have enough information to answer this is there some answer choices you have?

50 POINTS PLS HELP AND BRAINLIEST

Answers

32 because you divide 3 buses from 96 and you get that answer

A chemist is weakening an 80% solution by adding a 40% solution. How much of each should he use to get 100 milliliters of a 50% solution? the chemist’s problem is modeled by the system: {0.80x+0.40y=0.50⋅100 (x+y=100 where x is the number of milliliters of 80% solution and y is the number of milliliters of 40% solution.

Answers

Answer: The chemist needs to mix 25 milliliters of the 80% solution with 75 milliliters of the 40% solution to get 100 milliliters of a 50% solution.

Step-by-step explanation:

Let x be the number of milliliters of 80% solution needed, and y be the number of milliliters of 40% solution needed.

From the first equation, we can write:

0.80x + 0.40y = 0.50(100)

Simplifying this equation, we get:

0.80x + 0.40y = 50

Dividing both sides by 0.20, we get:

4x + 2y = 250

From the second equation, we know that:

x + y = 100

Solving this equation for y, we get:

y = 100 - x

Substituting this expression for y into the first equation, we get:

4x + 2(100 - x) = 250

Simplifying this equation, we get:

2x + 200 = 250

Subtracting 200 from both sides, we get:

2x = 50

Dividing both sides by 2, we get:

x = 25

Substituting this value for x into the equation y = 100 - x, we get:

y = 75

Therefore, the chemist needs to mix 25 milliliters of the 80% solution with 75 milliliters of the 40% solution to get 100 milliliters of a 50% solution.

X- 25 y- 75because we have to make a equation

Miguel is typing up the final copy of his essay for class. He can type about 20 words per minute. He has typed 1,265 words so far, and his final essay is 4,254 words in length.

How can Miguel determine the number of minutes it will take for him to finish typing the rest of his essay?

Match each step of the arithmetic solution with the correct description.

Answers

Answer:

Step 1: Subtract 1265 from 4254 to get the number if words he still needs to type; 2,989

Step 2: Divide 2,989 words by 20 words/minute; 149.45 minutes.

Step 1 is to subtract 1256 from 4254 to get the number of words he still needs to type: 2,989

Step 2 is to divide 2,989 words by 20 words per minute to get 149.45 minutes.

Hope this is correct and that it helps. Pls subscribe to Mathlete2022.

Division is repeated _________ of the same numbers

Answers

Answer:

I hope you have gotten your answer

Step-by-step explanation:

It is the repeated subtraction of the same number from a large number down to zero. It is a great way to introduce children to division. Repeated Subtraction is a method that subtracts the equal number of items from a group, also known as division

Is repeated subtraction

Choose one point on the scatterplot. What does it represent?
What type of data is best for scatter plots? please don't give a short once sentence explanation

Answers

Answer:

decrease

Step-by-step explanation:

this graph is showing a decorative response to whatever content.

Eckhart School is selling candy to raise money for its sports programs. Last year the school raised $480 during a 12-day fundraiser. The school expects this year's daily sales to be in proportion to last year's daily sales. Based on the school's expectations, which of the following statements is correct?

A) In 3 days, the school will raise $120.
B) In 7 days, the school will raise $240.
C) In 13 days, the school will raise $500.
D) In 22 days, the school will raise $960.

Answers

B because it says the school expects the year sales to be daily and how much day in a week is 7!

Well, according to the info here, they would have made 40 dollars a day during the 12-day time frame.

120/3= 40. ANSWER

240/7=34.28

500/13=38.46

960/22=43.63

this is your answer.

pls help w/math i have so many more questions so yeah thx needed by 2pm

Answers

the radius would be about 4 yards
The radius would be 4 yards.

Create a number line that represents the solution set of the inequality w ÷ 7 > 38. Show all your work.

Answers

Answer:

266

Step-by-step explanation:

Therefore, the answer to what divided by 7 equals 38 is 266. You can prove this by taking 266 and dividing it by 7, and you will see that the answer is 38. Tip: For future reference, when you are presented with a problem like "What divided by 7 equals 38?", all you have to do is multiply the two known numbers together.

The answer to your problem will be 266.

Use equivalent fractions to order these fractions from least to greatest: 2 over 3 , 1 over 2, 4 over 12, 5 over 6 . Explain the steps you took to find your answer.

Answers

Answer:

so u take 4/12 and do it to 1/3 then try to do lest to greatest

Step-by-step expla

2/3 5/6 1/2 1/3 try

So the fractions will be 2/3, 1/2, 4/12, and 5/6. 4/12 would be the least because when simplified, it is 1/3. Then would be 1/2 followed by 2/3 because 2/3 is more than a half. And the greatest would be 5/6 because if all the fractions had a common denominator of 3 the 5/6 would have the greatest numerator (2.5)

Rita gets paid $16 per hour for the first 8 hours she works each day. She earns 1 1/2 times her hourly pay rate for time she works over 8 hours each day. Rita′s work day for Monday is described in the list. worked from 8:00 a.m. to 12:00 p.m. took a 30-minute lunch break worked until 6:00 p.m. Rita does not get paid for her lunch break. How much money did Rita earn for the time she worked on Monday? Show or explain all of the steps you used to determine your answer.]

Answers

Answer: $158

Step-by-step explanation:

$16(8) + $24(1 ¼) = $128 + $30 = $158

Rita earned a Total of $196 for the time she worked on Monday.

To determine how much money Rita earned for the time she worked on Monday, we need to calculate her earnings for each portion of the day separately.

1. From 8:00 a.m. to 12:00 p.m. (4 hours):

Rita worked for 4 hours within the first 8 hours, so she earns her regular rate of $16 per hour for this time:

Earnings = 4 hours * $16/hour = $64.

2. From 12:30 p.m. to 6:00 p.m. (5.5 hours):

Rita worked for 5.5 hours beyond the initial 8 hours, so she earns 1.5 times her regular rate for each of these hours:

Earnings = 5.5 hours * ($16/hour * 1.5) = $132.

Now, we can sum up Rita's earnings for both periods:

Total earnings = Earnings from the first period + Earnings from the second period

Total earnings = $64 + $132

Total earnings = $196.

Therefore, Rita earned a total of $196 for the time she worked on Monday.

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PLEASE HELP ME
Solve the equation using inverse operations. Check your solutions. In your final answer, include all of your work.
1÷4 x³ = –27÷4

Answers

1. First, divide both sides of the equation by 4.

1÷4 x³/4 = –27/4/4

2. Next, on the left side of the equation, use inverse operations to get rid of the division. This will give us x³ = –27.

3. Then, to solve for x, take the cube root of both sides of the equation.

Cube root of x³ = cube root of –27

4. To check your answer, plug in -3 for x in the original equation and solve.

1÷4 x³ = –27/4

1÷4 (-3)³ = –27/4

1÷4 (-27) = –27/4

1 = 1

Since 1 = 1, the answer checks out.

Therefore, the solution to the equation is x = -3.

Answer:

-3,     3+3i[tex]\sqrt{3}[/tex]/2,     3-3i[tex]\sqrt{3}[/tex]/2

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Construct an argument in favor of the National Park Services decision to reintroduce wolves to Isle Royale. Be sure to discuss the boundary of the ecosystem and energy flow in your argument. Provide evidence and scientific reasoning to support your argument. What good news does Ellie Appleton share with Jack? 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