A carton designer is considering a cost as she is comparing different shaped cartons. Which of these nets would create a cardboard carton that requires the least amount of cardboard for each cubic inch of volume?

A Carton Designer Is Considering A Cost As She Is Comparing Different Shaped Cartons. Which Of These

Answers

Answer 1

Answer:

The first option i.e. (8 in × 10 in × 10 in) will be our choice.

Step-by-step explanation:

Each of the cartons shown here has the same volume i.e. 800 cubic inches.

Therefore, the carton having the least surface area will require the least amount of cardboard for each cubic inch of volume.

2(LW + WH + LH) is the surface area of a cuboid with dimensions L × W × H.  

Now, in the first option of cardboard with dimension 8 in × 10 in × 10 in, will have surface are = 2(8 × 10 + 10 × 10 + 8 × 10) = 520 sq, inches.

Now, in the second option of cardboard with dimension 5 in × 8 in × 20 in, will have surface are = 2(5 × 8 + 8 × 20 + 5 × 20) = 600 sq, inches.

Again, in the third option of cardboard with dimension 4 in × 10 in × 20 in, will have surface are = 2(4 × 10 + 10 × 20 + 4 × 20) = 640 sq, inches.

Finally, in the fourth option of cardboard with dimension 2 in × 10 in × 40 in, will have surface are = 2(2× 10 + 10 × 40 + 2 × 40) = 1000 sq, inches.

Hence, the first option will be our choice. (Answer)


Related Questions

(2) 345
Maria drove 715 miles in 13 hours.
At the same rate, how many miles would she drive in 5 hours?
miles
x
s
?​

Answers

Answer:

275 miles in 5 hours

55 miles in one hour

Check

to check if im right

275×2 would be how many miles she drove in 10 hours rght ? 275×2=550

550 miles in 10 hours

we know one hour is 55 miles & 5 hours is 275 & 10 hours is 550

10 hours plus 3 hours = 13 hours right ?

55 ×3 = 165

550 +165=715

715 miles in 13 hours

Step-by-step explanation:

715÷13 to get how many miles she drove in one hour .

=55 miles in 1 hour .

then multiply 55 ×5 to get how many miles she drove in 5 hours

55×5=275

275 miles in 5 hours

Ken made &14,500 in five months at his new job how much can he expect to make in two years if his pay remains constant

Answers

Answer:

$69,600

Step-by-step explanation:

$14,500 in 5 months,

14,500/5=2,900

so he makes $2,900 each month,

1 year=12 months

2 years=24 months

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

2900*24=69600

so he expects to make $69,600 in two years.

Answer:

$69,600

Step-by-step explanation:

14,500/5=2,900

2,900x24=69,600

what is 50% in fractions

Answers

Answer:  It is 50/100

Answer:

50/100 or 1/2

what is 28.204 rounded to the nearest whole

Answers

Answer:

28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

23,478 round to the nearest ten thousands

Answers

Answer:

20,000

Step-by-step explanation:

because its closer to 20,000 than 30,000

-3(x-3y) I dont know hot to solve the question ​

Answers

- 3(x - 3y) = - 3x + 9y

You're welcome.

Answer: get the app mathaway or math photo it will help u so so much

Step-by-step explanation:

hurry fast plz jxkdjdvdhkdkfvdvdkdkd​

Answers

Answer:

The first one considering you are starting at -7/11... no other number line starts at or goes beyond -7/11....

Answer:

The answer would be -3/10. Therefore, the only timeline that has -7/10, 4/10 and -3/10 is the first one.

Step-by-step explanation:

The answer to the problem is -3/10, as -7 + 4 is -3, and the 10 stays the same. The first timeline accommodates all of the numbers well, and you can see how you get the answer. Hope this helps!

How do you do a two step inequality?

Answers

Step-by-step explanation:                                                                                      It takes two steps to solve an equation or inequality that has more than one operation:

Simplify using the inverse of addition or subtraction.

Simplify further by using the inverse of multiplication or division.

I looked this up on Google JUST to be sure. I truly hope this helped! Your fellow Brainly user, GalaxyGamingKitty                                                                   May I have Brainliest please?

there are 12 girls and 18 boys in a class what is th largest number of groups they can be split into and have the same number of boys and girls on each team?

Answers

15 groups

Step-by-step explanation:

boys can be split in 9 groups of 2 and the girls can be split in 6 groups of 2

adding this 9+6=15

Order the numbers from
least to greatest.-7/5 -1 5/11
-1.45
-1 91/200

Answers

Answer:

-1 91/200, -1.45, -7/5, -1 5/11

Step-by-step explanation:

Lowest Common Denominator:

LCD = 2200

Equivalent Fractions with the LCD

-7/5 = -3080/2200  (-7/5)

-15/11 = -3000/2200  (-1 5/11)

-145/100 = -3190/2200  (-1.45)

-291/200 = -3201/2200  (-1 91/200)

Stephen invests $2,000 in a savings account paying 6% annual interest. Find the balance after 5 years if the interest is compounded quarterly.

Answers

Final answer:

The balance in the savings account after 5 years, with quarterly compounded interest, will be $2,699.80.

Explanation:

To find the balance after 5 years when the interest is compounded quarterly, we can use the formula for compound interest:

[tex]A = P(1 + r/n)^(nt)[/tex]

Where:
- A is the final amount
- P is the principal amount (initial investment)
- r is the annual interest rate (in decimal form)
- n is the number of times the interest is compounded per year
- t is the number of years

Plugging in the given values:

[tex]A = $2,000(1 + 0.06/4)^(4*5)[/tex]

[tex]A = $2,000(1.015)^20[/tex]

A = $2,000 * 1.3499

A ≈ $2,699.80

After 5 years, the balance in the savings account will be approximately $2,699.80.

Becky just measured herself and found out she is 65 inches tall. The last time she measured, she was 52 inches tall. What percent taller is Becky now?

Answers

Answer:

25%

Step-by-step explanation:

52 - 65 = 13 in growth.

13 = 25 % of 52.

So, Becky is now 25% taller.

help with math again *10 pts* asap

Answers

Answer:

[tex]a_n=2n+5[/tex]

Step-by-step explanation:

we have the sequence

[tex]7,9,11,...[/tex]

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant and this term is called a common difference

Let

[tex]a_1=7\\a_2=9\\a_3=11[/tex]

we know that

[tex]a_2-a_1=9-7=2[/tex] ----> [tex]a_2=a_1+2[/tex]

[tex]a_3-a_2=11-9=2[/tex] ----> [tex]a_3=a_2+2[/tex]

The common difference is 2

This is an arithmetic sequence

The general formula for an arithmetic sequence is

[tex]a_n=a_1+d(n-1)[/tex]

where

d is the common difference

n is the number of terms

substitute the given values

[tex]a_n=7+2(n-1)[/tex]

[tex]a_n=7+2n-2[/tex]

[tex]a_n=2n+5[/tex]

Five math questions

Answers

Answer:

1. 6

2. 36

3. 12

4. 30

5. 20

47 hundredths as a fraction and as a decimal number

Answers

Answer:

47/100 and 0.47

Step-by-step explanation:

A fraction is a number over 100

A decimal is a number with a decimal point that conside with a fraction

2. ** You have $10 to spend on lunch today and want both a drink and a salad. The drinks cost $1.25 each
and the salad costs $0.20 per ounce.
a
Write an equation that models this situation.

Answers

$0.20x + $1.25 = $10

Where x = ounces of salad

Richard and Teo have a combined age of 37. Richard is 4 years older than twice​ Teo's age. How old are Richard and​ Teo?

Answers

Answer:

Teo is 11 years old and Richard is 26 years old.

Step-by-step explanation:

Let R be the age of Richard and T be the age of Teo.

First set up the equations:

The combined age of Teo and Richard is 37:

R+T=37

Richard is four years old than twice Teo's age:

R=2T+4

Then, solve the equations:

Substitute (2) to (1) and solve for T:

(2T+4)+T=37

3T=11

T=11

Solve for R using (2):

R=2(11)+4

R=22+4

R=26

Which expressions are equivalent to 76(3 + c)?​

Answers

Answer:

76c + 228

Step-by-step explanation:

Use the distributive property

76 × 3 = 228

76 × c = 76c

76c + 228

Answer:

76c + 228

Step-by-step explanation:


Find the values of x and y that make these triangles congruent by HL.
x = -3 y - 4
x = -4 y-3
x = -6. y-5
x = -5, y = 6

Answers

Answer:

[tex]x=5, y=6[/tex]

Step-by-step explanation:

we know that

If triangles ABC and AED are congruent, then its corresponding sides are congruent

so

BC=ED

AC=AD

substitute the given values

[tex]x=y-1[/tex] ----> equation A

[tex]3x-2=2y+1[/tex] ----> equation B

solve the system by substitution

substitute equation A in equation B

[tex]3(y-1)-2=2y+1[/tex]

solve for y

[tex]3y-3-2=2y+1[/tex]

[tex]3y-2y=1+5[/tex]

[tex]y=6[/tex]

Find the value of x

[tex]x=y-1[/tex] ----> [tex]x=6-1=5[/tex]

therefore

[tex]x=5, y=6[/tex]

DOES ANYONE KNOW HOW TO DO THIS??????????? NEED HELP QUICK!!!!!!!!

Answers

Answer:

1. Figure 4

2. Figure 3

3. Figure 2

Step-by-step explanation:

Sorry I cant explain it.

No sorry ☹️☹️☹️☹️☹️☹️☹️☹️☹️

Which of the following best describes the graph below?

Answers

Answer:

The correct answer is D.

if you sleep 8 hours of each day what fraction of the day do you not sleep​

Answers

Answer:

16/24 which can then be simplified to 2/3

Answer:

8/24 = 1/3

Step-by-step explanation:

Please help!!!!!!!!!!!!

Answers

Answer:

t = 0.77

Step-by-step explanation:

f(t) = 11 × (1.5^t)

f(t) = 15

11 × (1.5^t) = 15

1.5^t = 1.364 (3d.p)

log1.5(1.364) = t

t = 0.77 (2d.p)

Make w the subject of the formula y-aw=2w-1​

Answers

Answer:

w = (y+1)/(2+a)

Step-by-step explanation:

y-aw=2w-1

y+1 = 2w+aw (collecting the like terms)

y+1 = w(2+a)

w(2+a) =y+1

w = (y+1)/(2+a)

What is a benefit of getting an Associate Degree?

Answers

Answer:

you can qualify for more jobs and make more money

Step-by-step explanation:

Final answer:

One benefit of getting an Associate Degree is gaining specialized knowledge and skills, which can increase job prospects. Additionally, it can be a stepping stone towards earning a higher degree, leading to more opportunities. Lastly, earning an Associate Degree can provide personal fulfillment and a sense of accomplishment.

Explanation:

One benefit of getting an Associate Degree is that it provides students with the opportunity to gain specialized knowledge and skills in a specific field. This can make them more competitive in the job market and increase their chances of finding employment. For example, someone with an Associate Degree in Business Administration may have a better understanding of business operations and management principles, which can be valuable in entry-level positions or when starting their own business.

Another benefit is that an Associate Degree can serve as a stepping stone towards earning a higher degree. Many universities and colleges accept transfer credits from associate degree programs, allowing students to continue their education and earn a bachelor's degree or beyond. This can open up more career opportunities and potentially lead to higher salaries.

Lastly, getting an Associate Degree can also provide personal fulfillment and a sense of accomplishment. It shows that you have successfully completed a program of study and have attained a certain level of expertise in a subject area. This can boost self-confidence and motivate you to pursue further education or career goals.

plz help me I will mark you brainlest plz give me explaination

Answers

Answer:

3.3

bc jamal is standing on a platform 1.5 meters high but the trout is under by 4.8

so

4.8-1.5=3.3

Step-by-step explanation:

Answer:

3.3 meters below surface

Step-by-step explanation:

Jamal dude and the distance between surface of water is 1.5 meters

----------------------------------------------------------/ <- the surface of water

                                                                     \

                                                                      I

    trout                                                       /   below jamal by 4.8

equation is 1.5- 4.8 so its - 3.3 or 3.3 meters below surface

A copy machine makes 32 copies per minute. How long does it take to make 136 copies?
I minutes ] seconds

Answers

136 papers in total/32 papers per minutes=4.5 mins

You and three friends spend $35 on tickets at the movies.Write and solve the equation to find the price p of one ticket.

Answers

Final answer:

The price of one movie ticket, represented as p, can be found by dividing the total cost of $35 by the number of friends, which is 4. The equation is 4p = 35, and solving for p gives $8.75 per ticket.

Explanation:

To calculate the price of one movie ticket when you and three friends spend a total of $35 on tickets, you would set up an equation where p represents the price of one ticket. The equation will be:

4p = 35

To solve for p, you would divide both sides of the equation by 4:

p = 35 / 4

p = $8.75

Therefore, the price of one movie ticket is $8.75. The calculated value of p is $8.75, indicating that each movie ticket costs $8.75. This method allows for the precise determination of individual ticket prices based on the total amount spent by the group, facilitating accurate financial planning for movie outings.

A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of n=1100 registered voters and found that 570 would vote for the Republican candidate. Let p represent the proportion of registered voters in the state who would vote for the Republican candidate. We test H0:p=.50 Ha:p>.50 (a) What is the z-statistic for this test? (b) What is the P-value of the test?

Answers

Part A

p = 0.5 is the hypothesized population proportion

x = 570 is the number of successes

n = 1100 is the sample size

phat = x/n = 570/1100 = 0.518182 is the approximate sample proportion

SE = standard error

SE = sqrt(p*(1-p)/n)

SE = sqrt(0.5*(1-0.5)/1100)

SE = 0.015076 which is approximate

----

We have enough to compute the z test statistic

z = (phat - p)/(SE)

z = (0.518182 - 0.5)/(0.015076)

z = 1.206023

z = 1.21

Answer: The z-statistic is approximately 1.21

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

Part B

Compute the probability of getting a z score larger than 1.21

P(Z > 1.21) = 1 - P(Z < 1.21)

P(Z > 1.21) = 1 - 0.8869 .... see note below

P(Z > 1.21) = 0.1131

note: the value 0.8869 comes from the table that I've attached as an image below. I have marked in red the proper row and column used to look up the value. The z table is commonly found in statistics textbooks toward the back sections. There are also many free online z tables you can search out as well. I used a z table found online. Alternatively, you can use your TI83 or TI84 calculator to compute the area under the normal curve. You would use the normalCDF function.

Answer: The P-value is approximately 0.1131

The z-statistic for testing whether the proportion of voters favoring the Republican candidate is greater than 0.50 is approximately 1.36. The P-value associated with this z-statistic is roughly 0.0869, indicating the probability of observing such sample results if the true proportion was indeed 0.50.

A newspaper conducted a statewide survey regarding the 1998 race for state senator, sampling n=1100 registered voters, with 570 favoring the Republican candidate. We are testing the hypotheses H₀: p = .50 against Ha: p > .50, where p represents the proportion of registered voters in the state who would vote for the Republican candidate. The steps for calculating the z-statistic and the P-value are outlined.

Calculation of the z-statistic:

To calculate the z-statistic for this test, we use the formula z = (p' - p₀) / √(p0(1 - p₀) / n), where p' = 570/1100 = 0.518 is the sample proportion, and p₀ = 0.50 is the null hypothesis proportion. Plugging in the numbers, we get:

z = (0.518 - 0.50) / √(0.50(1 - 0.50) / 1100) ≈ 1.36.

Calculation of the P-value:

The P-value is the probability that, assuming H0 is true, we would observe a sample proportion as extreme as or more extreme than the one observed. For a z-statistic of 1.36 in a right-tail test, the P-value can be found using a Z-table or software, resulting in:

P-value ≈ 0.0869.

To conclude, based on the calculated P-value, the decision on whether or not to reject the null hypothesis would depend on the level of significance (α) chosen for the test.

passes through (1, -3), slope = -1

Answers

Answer:

The needed line equation is :  x + y + 2 = 0

Step-by-step explanation:

The slope m of the given line equation = -1

The points through which the line passes  is (1,-3).

Now,as we know:

The POINT SLOPE form of the equation with point (x0,y0) is given as:

y - y0 = m (x-x0)

So, the equation if line q=with m = -1 and (x0,y0) = (1,-3) is given as

y  - (-3)  = -1( x  - 1)  

or, y + 3 = 1 -x

or, x + y + 2 = 0

Hence, the needed line equation is :  x + y + 2 = 0

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