Design a closed rectangular box of width w, length l, and height h. The sides of the box cost 1 cent/cm2 and the top and bottom cost 2 cent/cm2 . (a) Write an equation for cost (in cents) in terms of w, l, and h. Use lower case letters.

Answers

Answer 1

Answer:

Equation for cost (in cents) in terms of w, l, and h is 2h(w + l) + 4l*w

Step-by-step explanation:

We are given

A rectangular box with dimensions

Width = w

Length =  l

Height = h

This needs to be visualized in 3D

First type of Sides of the box is made using the width and height

second type is made using length and height

Area of the 1st two sides = 2*w*h

Area of the 2nd type of sides = 2*l*h

Area of the top and bottom  = 2*l*w

Cost for sides = 1cent/cm^2

Cost of the sides calculated = cost* Area=  1*(2*w*h+2*l*h)

                                                                   = 2h(w + l)

similarly

cost of top and bottom = 2*2*l*w = 4*l*w

Total Cost = 2h(w + l) + 4l*w


Related Questions

Slove each system by graphing
16-+4y+5x=0
-48-12y=-9x

Answers

The system of equations 16 + 4 y + 5 x = 0 and - 48 - 12 y = - 9 x will have the solution as x = 0 and y = - 4.

We are given a system of equations as:

16 + 4 y + 5 x = 0    … (1)

- 48 - 12 y = - 9 x

- 16 - 4 y = - 9 x

9 x - 16 = 4 y   … (2)

Substitute the equation (2) in the equation (1), we get that:

16 + 9 x - 16 + 5 x = 0

14 x = 0

x = 0

4 y = 9 ( 0 ) - 16

4 y = - 16

y = - 16 / 4

y = - 4

Therefore, we get that, the system of equations 16 + 4 y + 5 x = 0 and - 48 - 12 y = - 9 x will have the solution as x = 0 and y = - 4.

Learn more about equation here:

https://brainly.com/question/1214333

#SPJ9

Find the next three numbers 1, 0.6, 0.36, 0.216

Answers

Answer: The answer is everytime you mutiply in by 0.6

Step-by-step explanation:

0/12
Correct
Mark is investing his money. He thinks that he should make $11 for every $100 he invests. How much does he expect to make on an investment of $3300?

Answers

Money Mark makes for $3300, he invested = $363

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

It's given that Mark is investing his money. He thinks that he should make $11 for every $100 he invests.

Now by using the basic unitary method we can solve the problem as :

Money Mark makes for every $100 he makes = $11

Money Mark makes for every $1 he invested  = $ 11 / 100 = $0.11

Money Mark makes for $3300 he invested = 0.11 x 3300 = $363

Therefore, money Mark makes for $3300, he invested = $363

To know more about Unitary Method, refer to this link :

https://brainly.com/question/23423168

#SPJ9

Evaluate: 2/3 + 5/8 + 1/4

Answers

Answer: 1.54166666667 Hope that helped

Can somebody answer this?

Answers

Answer:

-4x/-2y

Step-by-step explanation:

16x - y - 4x + 1

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

16x - y - 2y - 1

= - 4x/- 2y

Hope this helped!

The balance owed on your credit card triples from $800 to $2400 in 9 months. If the balance is growing linearly then it would take 34.9 months to reach $7000. If, on the other hand, the balance is growing exponentially, f(x)=800(1+0.13)x where x represents the number of months, what would the balance be after 34.9 months? Round your answer to the nearest cent.

Answers

If, on the other hand, the balance is growing exponentially, f(x)=800(1+0.13)x where x represents the number of months, what would the balance be after 34.9 months is: $56,954.45.

Exponential

Using the given exponential to determine what would the balance be after 34.9 months.

f(x)=800(1+0.13)x

Where:

x=number of months

Hence:

f(x)=800(1+0.13)x

f(x)=800(1+0.13)^34.9

f(x)=800(1.13)^34.9

f(x)=800(71.19306287)

f(x)= $56,954.45

Therefore if, on the other hand, the balance is growing exponentially, f(x)=800(1+0.13)x where x represents the number of months, what would the balance be after 34.9 months is: $56,954.45.

Learn more about Exponential here:https://brainly.com/question/14197900

#SPJ1

Based on the mortality table below, what is the probability that a 23-year-old
will be alive in 1 year?

Answers

Answer:

99.897%

Step-by-step explanation:

Answer: 99.87%

Step-by-step explanation:

What are the coordinates of the origin?
(1,1)
(0,0)
(-1,1)
(1,-1)

Answers

Answer:

(0,0)

Step-by-step explanation:

Answer:

0,0 because that’s were it starts at

Step-by-step explanation:

Can i get brainiest think

Which of the following is a universal quantifier?

A)At least one
B)few
C)some
D)all

Answers

Answer:

c

Step-by-step explanation:

the answer is c) somae

C is going to be your answer

Use a unit rate to find the unknown value to 10/?=6/3

Answers

Answer:

?=5

Step-by-step explanation:

6/3=2

10/2=5


ILL GIVE BRAINLIST HELP ASPA

Answers

the 3 D'E=3DE i think that is the correct answer

What the other person said

A flagpole casts a shadow that is 30 feet long. At the same time, a man standing nearby who is 6 feet tall casts a shadow that is 60 inches long. How tall is the flagpole to the nearest foot?

Answers

Answer:

5 feet and 60 inch

Step-by-step explanation:

5 feet and 60 inches

Step-by-step explanation:

In a sample of 14 CEOs, they spent an average of 12.9 hours each week looking into new product opportunities with a standard deviation of 4.9 hours. Find the 95% confidence interval.a. (10.3, 15.5)b. (8.0, 17.8)c. (10.1, 15.7)d. (9.9, 15.9)

Answers

Answer:

c. (10.1, 15.7)

Step-by-step explanation:

The calculation of the 95% confidence interval is shown below:

Given that

n = sample = 14

average = [tex]\bar x[/tex] = 12.9

Standard deviation = s = 4.9

Based on the above information

[tex]\alpha = 1 -0.95 = 0.05[/tex]

n - 1 = 14 - 1 = 13

[tex]t_{\alpha}\ value = 2.16[/tex]

Now the 95% confidence interval is

[tex]= \bar x + \pm\ t \times \frac{s}{\sqrt{n} } \\\\= 12.9 \pm 2.16 \times \frac{4.9}{\sqrt{14} } \\\\= 12.9 \pm 2.8287[/tex]

= (10.1, 15.7)

hence, the correct option is c.

-12+5x-x=x-7+7
solve linear equation

Answers

Answer:

[tex] \Large{\boxed{\sf x = 4}} [/tex]

[tex] \\ [/tex]

Explanation:

Solving this equation means finding the value of 'x' that makes the equality true.

[tex] \\ [/tex]

Given equation:

[tex] \sf -12 + 5x - x = x - 7 + 7 [/tex]

[tex] \\ [/tex]

Combine like terms:

[tex] \sf -12 + (5x - x) = x + (-7 + 7) \\ \\ \sf -12 + 4x = x [/tex]

[tex] \\ [/tex]

Now, we move the variables to the right side of the equation by subtracting 4x from both sides:

[tex] \sf -12 + 4x - 4x = x - 4x \\ \\ \sf -12 = -3x [/tex]

[tex] \\ [/tex]

Finally, divide both sides of the equation by the coefficient of the variable, -3:

[tex] \sf \dfrac{-12}{-3} = \dfrac{-3x}{-3} \\ \\ \\ \boxed{\boxed{\sf x = 4}} [/tex]

[tex] \\ \\ [/tex]

▪️Learn more about equations here:

↣https://brainly.com/question/27404966

No work needed to show just answer

Answers

Answer:

1.62 × 10⁸

hope it helps!

plz help me with this??!

Answers

Step-by-step explanation:

–5/6 + 7/5 = –25/30 + 42/30

= 17/30

Tell whether z = 64 is a solution of z: 8=8.
Yes Or no

Answers

Answer:

Yes

Step-by-step explanation:

I think so...idk

8×8=64 thats why I said yes

Simplify: -6x - x please

Answers

Answer:

-7x

Step-by-step explanation:

-6x - x =

-7x

The total amount of money (in cents) in x dimes, (x+2) nickels, and 2x quarters. The total amount of money is ____ cents. (Hint: value of a dime is 10 cents, nickel is 5 cents, and a quarter is 25 cents.)

Answers

The total amount of money is 65x + 10 cents.

Sum of coins

Given the following coins value

x dimes, (x+2) nickels, and 2x quarters

If value of a dime is 10 cents, nickel is 5 cents, and a quarter is 25 cent, the the total coin is cent is expressed as 10x + 5(x + 2) + 25(2x)

Total in cents. = 10x + 5(x + 2) + 25(2x)

Total in cents = 10x + 5x + 10 + 50x

Simplify

Total in cents = 65x + 10

Hence the total amount of money is 65x + 10 cents.

Learn more on cents to dimes here: https://brainly.com/question/6810598

#SPJ1

Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples?
A)[(6 × 1.50) – 2] ÷ 2
B) 6 × 1.50 – 2 ÷ 2
C) 6 × [1.50 – (2 ÷ 2)]
D) 6 × 1.50 – (2 ÷ 2)

Answers

Answer:

Answer: (A)  [(6 x 1.5) - 2] ÷ 2

Step-by-step explanation:

Find the cost of 6 pounds of apples:

1 pound = $1.50

6 pounds = 6 x 1.5

Price after discount:

Discount = $2

Price after discount = (6 x 1.5) - 2

The cost is shared with her friend:

One person = [(6 x 1.5) - 2] ÷ 2

Answer: (A)  [(6 x 1.5) - 2] ÷ 2

655.4+?
= 65.54

I need help with this equation can you help me understand this?

Answers

Answer:−589.86

Step-by-step explanation:

let unknown number be x

Solve for x

655.4+x=65.54

Subtract 655.4 from both sides.

x=65.54−655.4

Subtract 655.4 from 65.54 to get −589.86.

x=−589.86

answer quick please I dont really get this

Answers

Answer:

f(9) = 24

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 4(x - 3)

f(9) is x = 9

Step 2: Evaluate

Substitute in x:                    f(9) = 4(9 - 3)Subtract:                              f(9) = 4(6)Multiply:                               f(9) = 24

PLS HURRY!!!
Solve the equation. What is the value of x

1/3 (x + 1) + 2x=2

Answers

Answer:

Decimal: -0.5

Fraction: - 1/2

Step-by-step explanation:

Find the GCF of 9 and 6.

Answers

Answer:3

Step-by-step explanation GCF of 6 and 9 is 3.

Factor the expression 12-8t

Answers

Answer:

factor 4 out of 12-8t

4(3-2t)

Last year there were 40 members in the drama club .This year the club has 32 members.By what percentage has the number of members decreased?
F.25%
G.16%
H.20%
J.80%

Answers

Answer: 20%

Step-by-step explanation:

32/40

Divide both by 2

16/20

Multiply by 5

80/100

Subtract 80 by 100

Answer: 20

A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let ^ p denote the proportion in the sample who say they support the increase. Suppose that 13% of all adults in Ohio support the increase. The standard deviation of the sampling distribution is

Answers

Answer:

The standard deviation of the sampling distribution is [tex]\sigma =0.0087[/tex]

Step-by-step explanation:

From the question we are told that

     The sample size is  n =  1500

     The population proportion is  [tex]p = 0.013[/tex]

Generally the standard deviation of this sampling distribution is mathematically represented as

      [tex]\sigma = \sqrt{ \frac{p (1- p)}{ n} }[/tex]

=>     [tex]\sigma = \sqrt{\frac{0.13(1-0.13)}{1500} }[/tex]

=>   [tex]\sigma =0.0087[/tex]

     

The standard deviation of the considered sampling distribution of the proportion supporting the increase is 0.0027 approx.

How to find the sample standard deviation for distribution of a sample proportion?

Suppose the sample proportion be denoted by [tex]\hat{p}[/tex], then, its distribution is normally distributed with mean [tex]p[/tex] and the standard deviation of distribution of [tex]\hat{p}[/tex] is given by

 [tex]\sigma = \sqrt{\dfrac{p(1-p)}{n}}[/tex]

where n is the sample size. It is true until [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex]

For the given case, we're given that:

Sample size=  n = 10Proportion average value = p = 13% = 0.13 Standard deviation = [tex]\sigma = \sqrt{\dfrac{0.13(1-0.13)}{1500}} = \sqrt{\dfrac{0.13 \times 0.87}{1500}} \approx 0.0027[/tex]

Thus, standard deviation of the sampling distribution is approximately 0.0027

Learn more about standard deviation of proportion distribution here:

https://brainly.com/question/16548769

need help please!!!!!​

Answers

Answer:

chance of wanted outcome/all possible outcomes

Step-by-step explanation:

Help! Giving brainliest please show your work

Answers

Answer:

1) 13/20

2) 100

3) 2^6

The width of a brick is half the​ length, which is 1 inch less than 4 times the height. If the sum of the three dimensions is 14.25 ​inches, find the volume of the brick.

Answers

Answer:

6inch

Step-by-step explanation:

Read the excerpt from The Crisis, Number I by Thomas Paine.

“I once felt all that kind of anger, which a man ought to feel, against the mean principles that are held by the Tories: a noted one, who kept a tavern at Amboy, was standing at his door, with as pretty a child in his hand, about eight or nine years old, as I ever saw, and after speaking his mind as freely as he thought was prudent, finished with this unfatherly expression, ‘Well! give me peace in my day.’ Not a man lives on the continent but fully believes that a separation must some time or other finally take place, and a generous parent should have said, ‘If there must be trouble, let it be in my day, that my child may have peace;’ and this single reflection, well applied, is sufficient to awaken every man to duty.”

Which is a central idea of this excerpt?

Paine feels that everyone should be able to speak freely, which is why he supports independence.

Paine believes that colonists should fight for independence so their children can live in peace.

Paine believes that some people are selfish and place their needs above others.

Paine felt anger for the first time when he saw an interaction between a Tory and a child.

Other Questions
The most important buildings made in ancient Greece were____. a.templesc.assembly hallsb.palacesd.universitiesPlease select the best answer from the choices providedABCD Two Grade 7 students, Monique and Matt, both solved the following math problem: If the temperature drops from 7F to -17F, by how much did the temperature decrease? The students came up with different answers. Monique said the answer is 24F, and Matt said the answer is 10F. Who is correct? Explain, and support your written response with details . Help me please with this :) A mutation in the code for a trait may not always change the expression of that trait. What advantage does this provide cells? The schoolyard has an area of 3864 ft. The section that is in the shape of a triangle is used for picnic tables what is the area of the section for picnic tables q- After reviewing the passage from The People Could Fly, write two to four sentences explaining which details are factual and which are fictional.passage- "Then, many of the people were captured for Slavery. The ones that could fly shed their wings. They couldnt take their wings across the water on the slave ships. Too crowded, dont you know. The folks were full of misery, then. Got sick with the up and down of the sea. So they forgot about flyin when they could no longer breathe the sweet scent of Africa. Say the people who could fly kept their power, although they shed their wings. They kept their secret magic in the land of slavery. They looked the same as the other people from Africa who had been coming over, who had dark skin. Say you couldnt tell anymore one who could fly from one who couldnt."The People Could Fly,Virginia Hamilton Why is amendment 19 important? If you know the answer to this, please say it! Equation and all too! Thank you :DD Can someone please help me with proofs sally runs 5km in 25 minutes. she plans to run in 20 km race. based on the current speed how long will it take her to complete the race? Using the graph, which characteristic about the function is NOT true?Help ASAP, please! The health center of a small, private university requires students to have appointments for visits. Each appointment takes an average of minutes with a standard deviation of minutes. The health center makes appointments each day and is scheduled to be open for hours. What is the probability that the total time spent for students who have appointments for tomorrow will exceed hours? (Hint: hours minutes.) Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places. The _____of the United States is the federal reserve Factor each expression.11x+55 How did roger williamss colony of providence differ from the puritan colony of massachusetts?. A dress is on sale for $168. What was the original price of the dress if the discount was 1/5 of the original price? When Fidelity partnered with the Capital Good Fund to service loans to disadvantaged communities, this was an example of______________. A cylinder trash can is 30in high and has a base radius of 7in. a manufacturer wants to know the surface of this trash can, including the top of the lid. Complete each sentence with the correct form of the present participle of theverb in parentheses.1. Yo estoyun viaje. (hacer)2. Elisa estel sol. (tomar)3. Migdalia y su amiga estnen un restaurante. (comer)4. Los seores Tobar estnal tren. (subir)5. Yo estoycon mi hermano. (jugar)6. Ellos estnun refresco. (beber)7. Felipe estlas maletas. (traer)8. Ustedes estnla televisin. (ver) Let f(x) = 5x-7 and g(x) = 2x-3. Find f(x)+g(x)