A cardboard storage carton has a length of 3 feet, a width of 2 feet, and a volume of 12 ft³.whatis the minimum amount of cardboard needed to make the box? [hint: you're given volume, so find the missing height. then use your 3 dimensions to find the total surface area.]

Answers

Answer 1
The minimum is :32: ft.


Brainlist pls
Answer 2
To find the missing height, we can use the formula for the volume of a rectangular box:

Volume = Length x Width x Height

Substituting the given values, we get:

12 = 3 x 2 x Height

Solving for the height, we get:

Height = 12 ÷ (3 x 2) = 2 feet

Now, we can use the dimensions to find the total surface area of the box. The surface area of a rectangular box can be found using the formula:

Surface Area = 2lw + 2lh + 2wh

where l, w, and h are the length, width, and height of the box, respectively.

Substituting the given values, we get:

Surface Area = 2(3 x 2) + 2(3 x 2) + 2(2 x 2) = 12 + 12 + 8 = 32 square feet

Therefore, the minimum amount of cardboard needed to make the box is 32 square feet

Related Questions

PLS help me with math its Transversals

Answers

Answer:1)Vertically Opposite.2)120.3)Co-Interior

Step-by-step explanation:

suppose you double each of the dimensions of a rectangular prism. how will the total surface area of the new rectangular prism compare to the total surface area of the original rectangular prism? explain how you decided upon your answer.
(hint: give yourself an example)

Answers

Answer: Doubling the dimensions makes the surface area 4 times the original surface area.

Tameka surveys every fourth customer leaving two different self-service yogurt shops. She asks customers how much they spent on a single cup of yogurt. The results of her survey are shown in the box plots below. What is the difference in the median cost for a single cup of yogurt purchased at Yummy Yogurt and a single cup of yogurt purchased at Yo's Yogurt Shop? How do the interquartile ranges differ for the costs at the two yogurt shops? What can be inferred about the price per ounce at the yogurt shops based on the results of the survey?

Answers

What we can deduce from both box plots is that: Yummy's yoghurt shop has a higher average cost than Yo's Yoghurt shop.

How to Interpret the box plot?

The box plot is a visual way of presenting a dataset where the rectangle is used to represent the quartiles. Box plots are useful as they show the skewness of a data set

The box plot shape will show if a statistical data set is normally distributed or skewed.

When the median is in the middle of the box, and the whiskers are about the same on both sides of the box, then the distribution is symmetric.

When the median is closer to the bottom of the box, and if the whisker is shorter on the lower end of the box, then the distribution is positively skewed (skewed right).

When the median is closer to the top of the box, and if the whisker is shorter on the upper end of the box, then the distribution is negatively skewed (skewed left).

Looking at both box plots, it is clear that:

Yummy's yoghurt and Yo's Yoghurt are skewed to the right. Thus, Yummy's yoghurt shop has a higher average cost than Yo's Yoghurt shop.

Read more about Box plots at: https://brainly.com/question/28023366

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The area of triangle ABD is 50cm, and one of its sides is 10cm in length. Find one of the heights of the triangle.

Answers

Answer:

10cm

Step-by-step explanation:

If you want to find one of the heights of the triangle, you need to use some math magic. The magic spell is:

A = (1/2) * b * h

where A is the area, b is the base, and h is the height. Don't ask me why, it just works.

Now, we know that the area of triangle ABD is 50 cm and one of its sides is 10 cm. We can pretend that this side is the base of the triangle. Why? Because it makes our life easier. Trust me.

Then we put these numbers into the magic spell and we get:

50 = (1/2) * 10 * h

Now we need to solve for h, which is the height we want. To do that, we need to do some algebra. Don't worry, it's not that hard. Just follow these steps:

- Multiply both sides by 2. This gives us:

100 = 10 * h

- Divide both sides by 10. This gives us:

10 = h

- Celebrate! We found the height!

So, one of the heights of the triangle is 10 cm. Isn't math fun?

To find the height of triangle ABD, we need to use the formula for area of a triangle:

Area of triangle = 1/2 × base × height

We know the area of the triangle is 50 cm², and one of the sides (which is also the base) is 10 cm. Let's substitute these values in the formula and solve for the height:

50 = 1/2 × 10 × height

Multiplying both sides by 2, we get:

100 = 10 × height

Dividing both sides by 10, we get:

height = 10 cm

Therefore, the height of triangle ABD is 10 cm.

George wrote seven tests and each was marked out of 100. No two of his marks were the same. He recorded the seven marks to do a statistical analysis. He accidentally recorded his highest mark higher than it actually was. How many of the following are altered because of his mistake? 1. Mean 2. Median 3. Minimum test score 4. Range

Answers

Answer: Range and mean

Explanation: median isn't affected because it is the middle value of all the values. If the highest score is already at the end of the list, then it won't go up or down if the score is even higher. Minimum isnt affected because that is the lowest score, which has seemingly been entered correctly. Mean is affected because it is the average. If one score is higher than it should be, it will raise the average. Range isnaffected because it is the number in between the max and min (max-min). If the max is higher, then the range increases
If George's highest mark is recorded higher than it actually was, then only the maximum test score and range will be altered.

Mean: Calculated by adding all the test scores together and then dividing by the total number of tests, so the error in the highest score does not affect the mean.

Median: Calculated by finding the middle value in a set of data, so the error in the highest score does not affect the median, as it will still be the fourth highest test score.

Minimum: The lowest test score remains the same, as it will not be affected by the error in the highest score.

Range: Calculated by subtracting the lowest test score from the highest score, so if the highest score is incorrect, the range will also be incorrect.
Therefore, only the maximum score and the range are altered by George's mistake, and the mean, median, and minimum score remain the same.

I hope this helps!

what does y=?????????????

Answers

Answer:

y is used as a variable.

Step-by-step explanation:

We use y to create an equation.

It doesn’t have a definite value.


Hope my answer helps you ✌️

Mark BRAINLIEST

Answer:

Y

usually it's used when your referring to equations that you graph, like using a variable with x

y is probably the first variable you'll come across

Y-AXIS

- a VERTICAL number line

VERTICAL DEFINITION (if you don't know what it means) - at right angles to a horizontal plane; in a direction, or having an alignment, such that the top is directly above the bottom.

Question 1: Rory finds a toy that costs $11.00. She pays $0.86 in tax. What was the sales tax rate?
Question 2: A customer pays $3.22 in tax for an item they bought at a 5.5% tax rate. How much was the original price of the item?
Question 3: Yolanda buys jeans at store A that cost $22.00 before tax, and she buys jeans at store B that cost $20 before tax? Assuming a 6% sales tax, how much did she have to pay in total for both pairs of jeans?

Answers

Answer:

1.The answer to question 1 is 9.46

2.The answer to question 2 is 17.71

3.The answer to question 3 is 2,640

(I hope I helped you) =)

Answer needed by 1:20pm (does anyone know how to find all answers to IXL Y.11???)

Answers

Answer:

91ft^2

Step-by-step explanation:

A = w*l

first, solve for the bottom rectangle

w = 7ft

l = 8ft

7ft * 8ft = 56ft^2

then for the second rectangle

l = 5ft

w = 7ft

5ft*7ft = 35ft^2

total area = rectangle 1+2

so 35ft^2+56ft^2=91ft^2

Answer:

The answer for the Area of the shape is 91ft²

Step-by-step explanation:

Area of the shape =Area of Bigger rectangle+ Area of small rectangle

A=L×B+l×b

A=7×8+5×7

A=56+35

A=91ft²

Solve 2y2 – 22y + 56 = 0 by factoring. Enter the numbers from least to greatest.
y= _____ , ______

Answers

Your two answers are Y = 7, 4
Y = 7, 4
Those are the answers.

can someone tell me the answer to this? ASAP

Answers

(20 x 24)1/2 x 37 = 8880
surface area is the area of each of the sides. so you would do 1/2(20 • 24) + 1/2(20 • 24) + 2(26 • 37) + 20 • 37, which would get you 3144. SA=3144

IM SO SORRY IF THIS DIDNT HELP

HELPPP PLEASE!! math

Answers

Answer: 4 years

Step-by-step explanation:

3.1% of 500 hundred is 15.50 and its takes about 4 years.

This scale drawing shows a reduction in a figure.

What is the value of x?

Enter your answer as a decimal in the box.

x = ?

Answers

Answer: 2.25

Step-by-step explanation:

8/3=6/x

To solve this problem, we can set up the proportion shown above. Then, we can solve it using cross-products.

3×6=18

8×x=18

x=18/8

x=2.25

For more resources on scale drawings, check out "What is a Scale Drawing?" by Virtual Nerd.

All the best on your homework!

I did the math and i got

x = 2.25

PLSSSS HELP IM FAILING THIS CLASS UR AN ANGEL IF U HELP ME
HUNDRED PTS
Shade all products in this multiplication table that appear most frequently. List the multiplication problems that create them. Why do they appear so much?
And also
List all the numbers between 1 and 50 that do not appear in this multiplication table. Why are they missing?

Answers

Answer:

Step-by-step explanation:

a. Shade all products in this multiplication table that appear most frequently - 6, 8, 12, 18, and 24. All numbers appear 4 times on the table.

b. 6=3x2=2x3=1x6=6x1

12=4x3=3x4=2x6=6x2

18=9x2=2x9=3x6=6x3

24=4x6=6x4=3x8=8x3

c. The numbers which appear 4 times have two distinct factorizations into single digit numbers (up to the order of the factors): for example, 24=4x6=3×8.

d. The numbers that do not appear in the multiplication table are 11, 13, 17, 19, 23, 29, 31, 37, 39, 41, 43, 47

e. The reason is that they are all prime numbers that are more than 9.

please help and try to explain thanks

Answers

Answer:

sorry

Step-by-step explanation:

i don't know

It’s the 1st one because a descriptive statistic is ways to summarise the data and a prediction isn’t a summary whereas graphs and averages are. I hope this helped

To have a perimeter of 89.2 feet, the dimensions of the rectangle need to be increased by a

a. scale factor of 2
b. scale factor of 2.5
c. scale factor of 4
d. scale factor of 4.5

Answers

Answer:

a. scale factor of 2

Step-by-step explanation:

Regard scale factor as x

(16.3x + 6x) x 2 = 89.2

22.3x = 44.6

x = 2

A and b could be the answer

can someone please help Ill give 40 points

Answers

Answer: C 138.5

Step-by-step explanation:

Answer:B

Step-by-step explanation:2(3.14)(5.8)(7.6)+2(3.14)  {(5.8)to the second power.}

someone please help me ASAP

Answers

Answer:

Step-by-step explanation

In this problem, the question asks us for 3 parts

a) the predicted hourly pay rate for a cashier who doesn't have any experience.
In this problem, the scatterplot was reduced into a linear function modeled by the equation y=0.94x+7.86 where y is the pay in $ per hour and x is years of experience indicating pay is dependent on the independent factor of years of experience. 0 years when plugged into the equation yields this through substitution.  0.94(0)+7.86=7.86$ which is the y-intercept

b)this is simply substitution as one can plug in 7 as x 0.94(7)+7.86=14.44$ or appx. 14$

c) for this problem it asks us the predicted difference in the hourly pay rate however the equation y=0.94x+7.86 tells us for every x year pay goes up an average of 0.94$, therefore, the increase is 0.94$.

Overall, this problem challenges the student's understanding of linear equations and the meaning of x and y in relation to one another in a graph.

Now that you have studied this lesson, write a summary of the concepts in your own words. Your summary should contain a description of the Commutative, Associative, and Distributive properties.

Answers

Answer:

is 84 the answer you where looking for?

What is the area of this figure?

Answers

Answer:

105 square kilometres

Step-by-step explanation:

7×9=63

8×4=32

5×2=10

63+32+10=105 square kilometres

Mr. Nolan’s math class went out to measure shadows in their school yard. Their data is recorded in the table. Find the missing heights.

Answers

Answer: 32 42 11

Step-by-step explanation: First I noticed that Mr Nolan was  2⁄3 the size of his shadow so by just simply seeing how much I got by dividing all three of the objects then just taking off the amount I got from dividing and that was the correct answer because  48  ÷ 3 ( the entire shadow) I get 16 so 48 - 16 Is the height of the flag pole so doing that for each question I got the height of each.

Does coordinate x or coordinate y represent a greater number in the following rectangle?

Answers

Answer:

Y stands for the bigger number.

Step-by-step explanation:

We observe that the x-values of (2,7) and (x,3) are both 2. In contrast, Y is on the same y-value as (4,3), therefore it will be 4. As 4 > 2, Y is the correct response.

Answer: Co-ordinate y.

Step-by-step explanation:

Can anyone explain how to do this, please??

Answers

Answer: ²⁄₉ (2 over 9)

Step-by-step explanation: Cross out the common factor: ((⁴⁄₃-½)+½)÷6

Rewrite fractions using the Least Common Denominator: (⁸⁻³⁄₆+½) ÷ 6

Calculate the sum or difference: (⅚ + ½) ÷ 6

Rewrite fractions using the Least Common Denominator: ⁵⁺³⁄₆ ÷ 6

Calculate the sum or difference: ⁸⁄₆ ÷ 6

Cross out the common factor: ⁴⁄₃ ÷ 6

Divide a fraction by multiplying its reciprocal: ⁴⁄₃ x ⅙

Cross out the common factor: ⅔ x ⅓

Write as a single fraction: ²⁄₃ x ₃

Calculate the product or quotient: ²⁄₉

Do parentheses firs and go on

PLSSS HELP SIMPLE VOLUME OF PRISM

Answers

Answer: 2.686 cubic feet

Answer:

42,840

Step-by-step explanation:

21x15x17x8=42,840

Fill out the answers, I'm stuck on these

The police ___ foul play

The planets ___ around the sun

The cats lived in the ____ in between the buildings

The ___ boy took all the cookies

The students worked at a ____ pace to finish their work.

Newspapers are recyclable; glass bottles are ____.

Answers

Answer:

1 at

2are

3stay

4young

5speedy

6to

Step-by-step explanation:

1.saw a

2.are

3.room

4.stubborn

5.fast

6too

Issey's current location is the Lincoln Memorial. She uses her smartphone to look up walking directions to the Jefferson Memorial. She walks 1/2 mile every 1/8 hour. If the distance between the 2 memorials is 1 1/5 miles, it will take Issey how many minutes to walk from the Lincoln Memorial to the Jefferson Memorial.

a. 18 minutes
b. 24 minutes
c. 36 minutes
d. 72 minutes

Answers

To find out how long it will take Issey to walk from the Lincoln Memorial to the Jefferson Memorial, we need to divide the total distance by the distance she covers in one hour, and then convert the result to minutes.

First, let's convert Issey's walking speed to miles per hour:

1/2 mile every 1/8 hour = 4 miles per hour

Now we can calculate the time it will take Issey to walk the 1 1/5 miles:

Time = Distance ÷ Speed

Time = 1 1/5 miles ÷ 4 miles per hour

Time = 0.3 hours

Finally, let's convert this to minutes:

0.3 hours x 60 minutes per hour = 18 minutes

Therefore, it will take Issey 18 minutes to walk from the Lincoln Memorial to the Jefferson Memorial.

Final answer:

It will take Issey 288 minutes to walk from the Lincoln Memorial to the Jefferson Memorial.

Explanation:

To find out how long it will take Issey to walk from the Lincoln Memorial to the Jefferson Memorial, we can divide the total distance by the walking speed. Issey walks 1/2 mile every 1/8 hour, which is equivalent to 4/8 miles per hour or 1/4 miles per hour. The distance between the two memorials is 1 1/5 miles, which is the same as 6/5 miles. To find the time it takes, we divide the distance by the speed: (6/5) / (1/4) = 24/5 = 4.8 hours. To convert this to minutes, we multiply by 60: 4.8 * 60 = 288 minutes.

Learn more about Walking Time here:

https://brainly.com/question/32891875

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HELP!!! PLEASE
An element in Group 2 of the periodic table likely has which characteristics?


Question 2 options:


A.) shiny solid, conducts heat and electricity, easily bends



B.) shiny solid, does not conduct heat but does conduct electricity, crumbles easily



C.) dull solid, does not conduct heat or electricity, does not bond with other atoms



D.) gas, does not conduct heat or electricity, easily bonds with other atoms

Answers

Answer:is c

Step-by-step explanation:Group 2: The Alkaline Earth Metals – beryllium (Be), magnesium (Mg), calcium (Ca), strontium (Sr), barium (Ba), and radium (Ra) are shiny, slivery-white, somewhat reactive metals. Beryllium, strontium, and barium are rare, and radium is unstable and highly radioactive.

The answer is C, if you look at the periodic table group 2 and you find what those elements are made of there’s your answer.

Can someone please explain this to me? I don't know how to do it.

Answers

Answer:

tough one

Step-by-step explanation:

I don’t know how to do this one

please help thx
3b–3>3

Answers

Answer:

If it is a inequality it would be b>2

Step-by-step explanation:

Move all terms not containing b to the right side of the inequality.

Add 3 to both sides of the inequality.

3b>3+3

Add 3 and 3.

3b>6

Divide each term in 3b>6 by 3 and simplify.

Divide each term in 3b>6 by 3

3b/3 > 6/3

Simplify the left side.

Cancel the common factor of 3.

b>6/33

Simplify the right side

Divide 6 by 3.

b>2

Answer:

b > 2

Step-by-step explanation:

3b-3 > 3

3b-3 [+3] > 3 [+3]

3b > 6

b [/3] > 6 [/3]

b > 2

Julia wants to put $56,000 into a savings account for 8 years and increase her total to at least $100,000. Assuming the interest is not compounded, what rate of return does the account need to earn?

Answers

Answer:

the account needs to earn a rate of return of at least 9.82% per year to increase Julia's total to $100,000 in 8 years with simple interest.

Step-by-step explanation:

To find the rate of return that the account needs to earn, we can use the simple interest formula:

Simple Interest = Principal x Rate x Time

Where:

- Principal = $56,000

- Time = 8 years

- Simple Interest = $100,000 - $56,000 = $44,000

Plugging in the values, we get:

$44,000 = $56,000 x Rate x 8

Simplifying the equation, we get:

Rate = $44,000 / ($56,000 x 8) = 0.0982 or 9.82%

Therefore, the account needs to earn a rate of return of at least 9.82% per year to increase Julia's total to $100,000 in 8 years with simple interest.

Answer: 9.82%

Step-by-step explanation:

So first of all we need to put down our formulae. We know that:

Simple interest = Principal × Time× Rate / 100

However the question is looking for Rate , therefore we must re -arrange the equation and make Rate the subject . This will give us :

Rate= Interest × 100 / Time × Principal

Now , the question tells us that the Principal is $56,00 and the time is 8 years , but we do not know the interest. In the case , we will use the equation :

interest =Amount -Principal to find the interest ,since the total amount has been given to us.

100,000 - 56,000 = 44,000

Principal =56,000

Time = 8

Interest=44,000

Using the first formulae:

44,000×100 / 8×56,000 = 9.8

Rate is always in % so our answer is 9.82%

The values in the table describe a data set.

Minimum 20
Mean 30
Mean Absolute Deviation 3.5
Median 35
Interquartile Range 10
Maximum 55

Which value can be used to describe how the values in the data set vary with a single number?
A. median
B. maximum
C. interquartile range
D. mean

Answers

The interquartile range (IQR) is the best choice here to describe the variability of the data set with a single number.

The IQR is 10, indicating the middle 50% of the data values lie within the range of 28 to 43 (35 +/- 10 is 28-43).

The other choices are:

Mean (30) - Describes the central tendency but not variability.
Median (35) - Also describes central tendency but IQR gives a better sense of spread.
Maximum (55) - Only describes the upper limit, not variability.

So the interquartile range (IQR) of 10 is the best choice to capture how spread out or varied the values in the data set are.

The answer is C. interquartile range
The value that can be used to describe how the values in the data set vary with a single number is the Mean Absolute Deviation (MAD), which is given as 3.5 in the table.

Answer:
D. Mean Absolute Deviation
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