Mr. Lin received a box of books in the shape of a rectangular prism. The volume of the box is 486 in 3. What is the width of the

box?

18 in.

Use the formula W=Th, where l is the length of the prism, h is the height, V is the volume, and w is the width.

6 inches

9 inches

27 inches

81 inches

Mark this and return

Save and Evi

Answers

Answer 1

Answer:

W = 9 inches.

Step-by-step explanation:

The volume of a rectangular prism is given by

[tex]V=whl[/tex]

Where

w,h and l re width, height and length of rectangular prism

It is not mentioned that a box has a length of 18 inches and a height of 3 inches.

Using above formula.

[tex]486=w\times 18\times 3\\\\486=54w\\\\w=9\ \text{inches}[/tex]

So, the width of the box is 9 inches.


Related Questions

Find the variation constant and an equation of variation for the given situation.

y varies directly as x, and y = 7 when x = 1/2.

Answers

Answer:

[tex]\displaystyle y=14\cdot x[/tex]

Step-by-step explanation:

Directly Proportion

It's said that y varies directly proportional as x, if:

[tex]y=k\cdot x[/tex]

Where k is a constant of proportionality.

We know that y=7 when x=1/2.

Using the above condition, we can find the value of k:

[tex]\displaystyle 7=k\cdot \frac{1}{2}[/tex]

Solving for k:

k=14

Thus, the equation is:

[tex]\boxed{\displaystyle y=14\cdot x}[/tex]

this month, Carla caught the following fish in lake George: 24 trout, 41 sunfish, 12 perch, and 23 bluegills. If Carla catches another fish this month , what's the probability of her catching a trout

Answers

Answer:

I believe the answer is about 1/2!

Step-by-step explanation:

I don't have a step-by-step but when I took a test this question was on it and I got the question right by putting about 1/2!

The probability of her catching a trout is 6/25

What is probability ?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

According to the question

based on given condition , formulate

24 ÷ (23 + 12 + 24 + 41)

Calculate sum or difference = 24/23 + 12 + 24 + 41

Calculate sum or difference = 24/59 + 41

Calculate sum or difference = 24/100

Reduce the fraction = 6/25

Hence, the probability of her catching a trout is 6/25

To learn more about probability from here

https://brainly.com/question/11234923

#SPJ2

What is 0.23 divided by 0.7?

Answers

0.328571428571

ly guys <3

easyyy, put it into a calculator and u get 0.32857

LOOK AT THE IMAGE ABOVE & SOLVE IT BY SHOWING FULL STEPS! I will mark you brainlist if you show full steps

Answers

Answer:

Area of original shape: x1

Area of zoomed shaped: x4

Perimeter of original shape: x1

Perimeter of zoomed shaped: x2

Step-by-step explanation:

Since the image is zoomed in by 2, it means that all measurements are doubled. When calculating the area, the zoomed shape had an area 4 times greater than the original shape! With perimeter, instead of the same multiplier, the perimeter of the zoomed shape was only doubled of the original shape.

The diagram at the right shows a path through a garden.

The approximate length of the path, p, can be found with the formula

[tex]} p^{2}[/tex] =[tex]8^{2}[/tex] + [tex]10^{2}[/tex]

Which of the following measures is closest to the length

of the path?

A. 10 m

B. 12 m

C. 13 m

D. 18 m

Answers

Answer: B  about 13 m

Step-by-step explanation:

Calculate 8²  = 64  and 10² = 100  Add to get 16

Then get √164 = =12.80624847

Round up to 13.  

For the given functions f and g, complete parts (a)-(h). F
f(x) = 5x + 8; g(x) = 7x-2

Answers

Answer:

9

Step-by-step explanation:

use math and add way after it

u welcome does work for u

dont be shy answer my math equation.

Where would you locate √6 on a number line?

between 2.0 and 2.25
between 2.25 and 2.5
between 2.5 and 2.75
between 2.75 and 3.0

Answers

Answer:

i wanna say 2.25 and 2.5 but I'm not entirely sure


Write the first 4 terms of the sequence.
f(1) = 2 and f(n) = f(n - 1) + 2 for each whole number n greater than 1.
A 1,3,5, 7
B) 2,4,6,8
C) 1,2,3,4
D) 2,3,4,5

How do I write the First 4 terms so I can solve for the answer?

Answers

Answer:

Use the given functions to set up and simplify

7B.4=f(1)=2=Always(true)n=Always(true)1A⋅1=A3=A5=A7B=A

Step-by-step explanation:

Which is the first step in solving
X-2 = 2?

Answers

Answer:

The first step is to find a number that when subtracted from 2 gives you 2.

Step-by-step explanation:

The algebraic part of this problem would be to add the -2 (adding 2 to both sides) to both sides, so

first x-2=2, then x-2(+2)=2(+2)  which would give us,

x=4

*note: the parenthesis are just to show that we are adding the 2, to make it more understandable.

please help me with this it's worth 80 points
and please show all work
3x - 4 + 6x = -31

17 = 3x - 10

2x + 6 = 4x - 8

17x - 5(3x - 11) = 41

5x - (3x - 6) = 18

6x - 3(4 - 5x) = 30

x - (-5) = 7

Answers

This is a lot of questions-

I did them all on a calculator.

1.)

3x - 4 + 6x = -31

3x + 6x - 4 = -31

9x - 4 = -31

9x = -27

Answer: x= -3

2.)

17 = 3x - 10

3x -10 = 17

-10 = -10

3x = 27

divide both sides by 3

Answer: x= 9

3.)

2x + 6 = 4x - 8

-6 = -6

2x = 4x -14

-4x (both sides)

-2x = -14

divide both sides by -2

Answer: x = 7

4.)

17x - 5(3x - 11) = 41

2x +55 = 41

-55 (both sides)

2x = -14

divide 2 both sides

Answer: x = -7

5.)

5x - (3x - 6) = 18

2x + 6 = 18

-6 both sides

2x = 12

divide both sides by 2

Answer: x = 6

6.)

6x - 3(4 - 5x) = 30

21 - 12 = 30

+12 boh sides

21x = 42

divide both sides by 21

Answer: x = 2

7.)

x - (-5) = 7

x + 5 = 7

-5 both sides

Answer: x = 2

Plz help! Are they right? The questions are below!

Answers

Answer:

The sencond is wrong but the first is good

Step-by-step explanation:

which ordered pairs is a solution to the equation y=4x-17? (it’s more then one )

Answers

Answer:

(1,-13) (4,-1) (7,11)

Step-by-step explanation:

Those are all the correct order pairs!!

hope this helps!

What is -11 x -8?


I suck at math :(

Answers

i didnt see the - on the 11 and 8 my bad :(

Answer:

88?

Step-by-step explanation:

What does the - 8 do in the function k(x)?

k(x) = x^2 - 8

Answers

Answer:

the negative 8 is the y-intercept of the equation. This means that this is y value of where 0 is on the x-axis. The point for the y-intercept is (0,8)

Use the distributive property to write an equivalent expression.
2(n+8p)

Answers

Answer:

2n+16p

Step-by-step explanation:

6. Claire buys DVDs online. Each DVD that she orders costs $15 and shipping for her order is $10.
Claire can spend no more than $100. How many DVDs can she buy?

Answers

Answer:

5 dvds

Step-by-step explanation:

15 per dvd

15x+10 and then it has to be less then 100

I think the answer would be 5:)

Will give brainliest, like, comment, and 5 points the the best answer
The answers you can choose from are proportional or non-proportional.
Could you please answer this:

Answers

Answer:  

Fractions with variablies are proportional anyway, and any number is proportional as long as it has the same ratio.  

 

Step-by-step explanation:

Andy drove 840 miles in 12 hours. How far could he drive in 1 hour?

Answers

Answer:

70

Step-by-step explanation:

Divide 840 by 12 and you get 70 miles.

Hey, he's speeding! I should give him a ticket.

Can I have brainlliest?

Hope it helped.

solve -3/8y=-24 urgent it’s a timed test!

Answers

Answer:

y = 64

Step-by-step explanation:

-3/8y = -24

-3y = -24 (8)

y = -192 / -3

y = 64

I need help with something maybe if I can send a picture of it it will be easier​

Answers

Answer:

sure send it and I will do my best to help you..

Jason takes 3 pages of notes during each hour of class. In all, how many hours will Jason have to spend in class before he will have a total of 36 pages of notes in his notebook?

Answers

Answer:

36 pages/12 hours

Step-by-step explanation:

3 pages per hour

36 pages per ? hours

36 / 3 = 12

36 pages per 12 hours

Hope this helps!

Given h(x) = -4x – 5, solve for x when h(x) = 7.

Answers

Answer:

x=-3

Step-by-step explanation:

h(x)=7

-4x-5=7

-4x=12

x=-3

Answer: -3

Step-by-step explanation:

There were 3 boys for every 4 girls how many student i all went the trip

Answers

Answer:

7

Step-by-step explanation:

Answer:

it depend on how many students there were in total so you can know how many boys and girls

Step-by-step explanation:

please help!!!!!!!!!!!!​

Answers

I Did This And I Somehow Came Out To B. So B I Guess Sorry if Im Wrong

Find the value of x.
55°
79°
110°

Answers

Answer:

i think its 158

Step-by-step explanation:

i think what theyre doing here is a pattern because

79-55=24 and 110-79=31 which has no pattern but when u subtract 55 from 110 you get  110-55=55  so i just multiplied 79 by 2 getting the answer 158.

You start at (4, 4). You move right 1 unit and down 4 units. Where do you end?

Answers

Answer: (5,0)

Step-by-step explanation:

Answer:

You would end at (5,5)

On the the grid or your platform I believe

round 4.30132 to the nearest thousandth

Answers

The answer would be 4.301

Answer:

4.301

Step-by-step explanation:

V I’mhjhvcbjvcvjhvvvggujvvcghhhvcccgggghh

Answers

Answer:

the like terms were not grouped together.

3/4(x+8) > 1/2(2x+10)

Answers

3x/4+6 and x+5
Pls mark brainliest

Complete the following problems.
Amy has $50 in her lunch account. Amy spends $3 a day for lunch. Amy's mother receives a notification when Amy's
account balance reaches $5 or lower. How many lunches can Amy purchase until her mother receives a notification? And what is the equation in slope intercept form

Answers

Answer:

Amy can purchase up to 14 lunches until her mother receives the notification. When she has the 15th lunch, the notification will be sent.

Step-by-step explanation:

The balance Amy has in her lunch account is a function of the number of lunches she has consumed.

The initial balance is $50 and it decreases by $3 for every lunch Amy has. Thus, the function that models the balance in her lunch account is:

[tex]B(x)=50-3x[/tex]

Where x is the number of lunches.

Her mother receives a notification when the balance goes at $5 or lower, thus the condition that triggers the notification is:

[tex]B(x) \le 5[/tex]

Or, equivalently:

[tex]50-3x\le 5[/tex]

Subtracting 50:

[tex]-3x\le 5-50[/tex]

[tex]-3x\le -45[/tex]

Multiplying by -1 (and flipping the sign):

[tex]3x\ge 45[/tex]

Solving:

[tex]x\ge45/3[/tex]

[tex]x\ge 15[/tex]

Amy can purchase up to 14 lunches until her mother receives the notification. When she has the 15th lunch, the notification will be sent.

Other Questions
what is the change between -15 and 11 how did slavery help England profit from the colonies?PLS HELP ASAP!!!!!!!!!!!!! How many moles of potassium are there in 1 kg of potassium? 297.85Question 24 ptsIf a sample of gas occupies 23.5 mL at 315 K and 14.8 atm of pressure, what volume will it occupy at 415 K and12.3 atm?Give your volume in ml, but do not include the units in the answer. Do not use scientific notation.Question 34 pts Sofia still lives at home, but helps with the rent paying $200 per month. She has a job that pays about $700 per month after taxes. She has to pay for her own personal items such as clothing and toiletries spending about $120 per month. Going out with friends is important to her, but she also wants to save money to buy her own car. Select the budget that would best help meet her goals.Monthly BudgetBudget ABudget BBudget CBudget DIncome$700$700$700$700Expenses - Rent Personal Items Entertainment Savings$200$120$100$250$200$120$300$50$200$120$200$150$200$120$325$25 Write an equation of a line in slope-intercept form that passes through the point (-2, 4) and has a slope of -3. (no spaces in your answer) Can someone do this for me ill give you brainliest Scientific knowledge is open to change as new information is discovered. Which of the following would NOT be a result of new scientific knowledge?AScientists discover that a type of fungus on this log does not require oxygen for absorption and change the classification system. BScientists publish an article that mentions the historic decline in the population of blue stain fungi. CScientists classify a recently discovered bacterium living on this log using generally accepted naming procedures. DScientists discover a bacterium living on this log that is multicellular and revise their classification How did the u.s effectivley raise the national sporit and engage americans in thebusiness of winning the war? Help out It is due at 7:00 Consider the following information for stocks A, B, and C. The returns on the three stocks are positively correlated, but they are not perfectly correlated. (That is, each of the correlation coefficients is between 0 and 1.) Stock Expected Return Standard Deviation Beta A 8.60% 14% 0.8 B 9.95 14 1.1 C 11.75 14 1.5 Fund P has one-third of its funds invested in each of the three stocks. The risk-free rate is 5%, and the market is in equilibrium. (That is, required returns equal expected returns.)Required:a. What is the market risk premium?b. What is the beta of Fund P?c. What is the required return of Fund P?d. Would you expect the standard deviation of Fund P to be less than 15%, equal to 15% or greater than 15%? Explain. Complete the pattern.5, 10, 30, 60, 180, ____ please help me What should I do ? The use of illegal or harmful drugs is called what Who was the Priest that rang the bells at Dolores to Declare Independence from Spain? (2a-b-c)+(2b-c-a)+(2c-a-b) factorise Audrey has already scored 53 points,and scored 22 more points with every coin she collects.How many coins does Audrey have to collect to score a total of 97 points Good authors choose their words very carefully. Take a few minutes to write a short paragraph describing an experience you have recently had. Pick a location you went to or an event you attended. Once you have finished, read over what you have written. Now, write a second paragraph. In it, you will repeat the information from the first paragraph, but you will choose your words more carefully. Ask yourself questions like: What words capture this image exactly? What is the best word to convey how something looked, or how I felt? Take more time with the second paragraph. Your response should be at least 150 words in total.H E L P Researchers studying a small milkweed population note that some plants produce a toxin and other plants do not. They identify the gene responsible for toxin production. The dominant allele (T) codes for an enzyme that makes the toxin, and the recessive allele (t) codes for a nonfunctional enzyme that cannot produce the toxin. Heterozygotes produce an intermediate amount of toxin. The genotypes of all individuals in the population are determined and used to determine the actual allele frequencies in the population.Required:Is this population in Hardy-Weinberg equilibrium? Calculate the T and t. Which of the following fields can only exist in one direction?