The length, width, and height of a rectangular prism can be represented by the expression (x + 3), (x + 7) and (x - 1). write an expression to represent the surface area of the prism

Answers

Answer 1

Answer:

A=2wl+2lh+2hw

A=2(x+7)(x+3)+2(x+3)(x-1)+2(x-1)(x+7)

A=2(x^2+7x+3x+21)+2(x^2-x+3x-3)+2(x^2+7x-x-7)

A=2(x^2+10x+21)+2(x^2-2x-3)+2(x^2+6x-7)

Answer 2

Answer:

6x²+36x+22

Step-by-step explanation:

Surface Area = 2(wl + hl + wh)

Length = (x+3)

Width   = (x+7)

Height  = (x-1)

Surface Area = 2((x+7)(x+3) + (x-1)(x+3) + (x+7)(x-1))

Then simplify

2((x+7)(x+3)+(x−1)(x+3)+(x+7)(x−1))

=(2)((x+7)(x+3)+(x−1)(x+3)+(x+7)(x−1))

=(2)((x+7)(x+3))+(2)((x−1)(x+3))+(2)((x+7)(x−1))

=2x²+20x+42+2x²+4x−6+2x²+12x−14

=6x²+36x+22


Related Questions

2. After election results of 378 votes were tallied, the new student-body president won by a margin of 5 to 4. How many votes did she get?​

Answers

Answer:

473 or 472, depends on how you round

Step-by-step explanation:

378/4 = 94.5

94.5 x 5 = 472.5

The number of votes she gets will be 473.

What is multiplication?

It is also known as the product. If the object n is given to m times then we just simply multiply them.

2. After election results of 378 votes were tallied, the new student-body president won by a margin of 5 to 4.

Then the number of votes she gets that will be

→ 378 x 5 / 4

→ 378 x 1.25

→ 472.5 ≅ 473

More about the multiplication link is given below.

https://brainly.com/question/19943359

#SPJ2

Helpp!
Shamir is trying to decide between two cities to travel to for a weekend trip. The prices for a hotel room for two nights and the hotel tax rate are listed in the table
| city | cost ($) | Tax rate |
| A | 250 | 12.5% |
| B | 215 | 14.75% |
What is the difference in cost between the two cities for a weekend trip? Round to nearest cent

Answers

Answer:

$34.54

Step-by-step explanation:

city A

$250 x 1.125 $281.25

city B

$215 x 1.1475 $246.713

difference between the two cities = $281.25 - $246.713

                                                        = $34.54

The difference in cost between the two cities for a weekend trip will be $34.54.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

Shamir is trying to decide between two cities to travel to for a weekend trip. The prices for a hotel room for two nights and the hotel tax rate are listed in the table.

City                Cost ($)             Tax rate

A                     $250                12.50%  

B                     $215                  14.75%

Then the difference in cost between the two cities for a weekend trip will be given as,

⇒ $250 × 1.1250 - $215 × 1.1475

⇒ $281.25 - $246.71

⇒ $34.54

The difference in cost between the two cities for a weekend trip will be $34.54.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ5

The carnival fundraiser at Westville Elementary School raised $300 on Friday. On Saturday, the carnival will raise 480 percent of that amount. Which statements are true about the amount of money that the carnival will raise on Saturday? Check all that apply.

Answers

The missing options in the question are:

a.) The answer will be less than $300 because 100 is less than 480.

b.) The answer will be greater than $300 because 480 is greater than 100.

c.) (100)(3) = 300, so 480(3) is the amount of money that the carnival will raise on Saturday.

d.) 480 + 300 is the amount of money that the carnival raised on Saturday.

e.) The carnival raised $780 on Saturday.

f.) The carnival raised $1,440 on Saturday.

Answer:

The correct options are: (b), (c), (f)

Step-by-step explanation:

Given that:

The carnival fundraiser raised $300 on Friday

On Saturday, It was stated that the carnival fundraiser will raise 480 percent of the amount raised on Friday;

i.e.

= (480% × 300)

[tex]= \dfrac{480}{100} \times 300[/tex]

= 480 (3)

= $1440

So; we are to check the given option and choose the statements that are true about the amount of money that will be raised at the carnival on Saturday.

From the above explanation;

The true statements are:

The answer will be greater than $300 because 480 is greater than 100.

(100)(3) = 300, so 480(3) is the amount of money that the carnival will raise on Saturday.

The carnival raised $1,440 on Saturday.

What is the precision of the measurement 10 feet?

Answers

Answer:

You measure the length of the paper three times and obtain the following measurements: 11.1 in., 11.2 in., and 10.9 in.

in the example,-38+(-24)will be negative before finding the sum? ​

Answers

Answer:

-62

Step-by-step explanation:

The next model of a sports car will cost 14.1% less than the current model. The current model costs $55,000 . How much will the price decrease in dollars? What will be the price of the next model?

Answers

Answer:

$3900.71 is the amount of money subtracted from the next model

51099.29 is the cost of the second model

Step-by-step explanation:

a city has a garden in the shape of an equilateral triangle with 40 feet sides. there is a walkway that runs from a gate located at the midpoint of one side of the equilateral triangle to a fountain at the opposite vertex. approximately how long is the walkway?

Answers

Answer:

The walkway is approximately 34.64 feet long

Step-by-step explanation:

The length of the sides of the equilateral triangle shaped the city garden = 40 feet

The path of the walkway = From the midpoint of a side to the opposite vertex

Therefore, we have;

Let x, represent the length of the walkway

We have that the x, a side of the equilateral triangle, and half the side of the location of the gate, forms a right triangle, with a side of the equilateral triangle representing the hypotenuse side

Therefore, we have;

40² = x² + (40/2)²

40² = x² + 20²

x² = 40² - 20² = 1200

x = √1200 = 20·√3

The length of the walkway = x = 20·√3 ≈ 34.64 feet.

Express it in slope-intercept form.

Answers

Find slope: pick any two points
(1,3), (2,7)
(y2-y1)/(x2-x1)
(7-3)/(2-1) = 4
Y=4x+b
Plug in any point to solve for b
I used (2,7), 7=8-1, b=-1
Slope intercept form: y = 4x -1

if you are good at math please help me answer all 4 please

Answers

Slope = rise/run
1. Slope is -1/3
2. Slope is 3
3. Slope is -3/2
4. Slope is 3/2

Explain how to simplify an expression with negative exponents using the rules for multiplying monomials.
PLZZZZZ I NEED HELP ILL MAKE YOU BRAINLIEST

Answers

Answer:

Purplemath

Recall that negative exponents indicates that we need to move the base to the other side of the fraction line.

(The "1's" in the simplifications above are for clarity's sake, in case it's been a while since you last worked with negative powers. One doesn't usually include them in one's work.)

In the context of simplifying with exponents, negative exponents can create extra steps in the simplification process.

Step-by-step explanation:

Find the simple past tense of these verbs in the passage.
is
go
begin
do
make
grow
sell
get
ring​

Answers

Answer:

was

went

began

did

made

grow

sell

get

rang

I don't know if it's right though?

Answer:

was

went

began

did

made

grew

sold

got

rang

Please help
How many solutions can be found for the system of linear equations represented on the graph?
A)
no solution
B)
one solution
C)
Two solutions
D)
Infinitely many solutions

Answers

C it is c ajdbdiwdidnwisnxidnend

Answer: One solution

Step-by-step explanation:

When the lines intersect in one spot, there's one solution. The lines have different slopes, so there's only one solution.

What is the fraction 24/4 simplified?

Answers

Answer:

6

Step-by-step explanation:

The fraction 24/4 simplified is 6.

To simplify the fraction 24/4, we find the greatest common divisor (GCD) of the numerator (24) and the denominator (4), and then divide both the numerator and denominator by the GCD to obtain the simplified form.

Step 1: Find the GCD of 24 and 4.

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

The factors of 4 are 1 and 4.

The GCD of 24 and 4 is 4, as it is the largest number that divides both 24 and 4.

Step 2: Divide both the numerator and denominator by the GCD.

24 ÷ 4 = 6

4 ÷ 4 = 1

So, the simplified form of 24/4 is 6/1. However, any fraction divided by 1 remains the same, so the simplified fraction is 6.

Therefore, 24/4 simplified is 6.

To know more about fraction:

https://brainly.com/question/10354322


#SPJ6

The Answer and yea idk

Answers

(1-2)
(4-2)
the answer would be
-1/2 :)

Please help!

Find the slope

-2x + 4y = 36

Thank you!

Answers

-2x+4y=36
Add +2x to both sides
4y=2x+36
Decide every term by 4
y= 2/4x + 9

The slope is 2/4

6 = 2(y + 2)
Solve for Y.

Answers

Answer:

6=2(y+2)

distributive property

6=2(y)+2(2)

6=2y+4

-4      -4

2=2y

--   --

2   2

divide two in both sides to get y by itself

y=1

Answer:

y = 1

Step-by-step explanation:

6 = 2 (y + 2)

Distribuite:

2 * y = 2y

2 * 2 = 4

2y + 4 = 6

Use additive inverses. The additive inverse of addition is subtraction.

Subtract 4 from both sides:

2y + 4 - 4 = 6 - 4

6 - 4 = 2

2y ÷ 2 = 2 ÷ 2

2y ÷ 2 = y

2 ÷ 2 = 1

To check our answer we multiply how much y is (which is 1) by 2.

2(1) + 4 = 6

2 * 1 = 2

2 + 4 = 6.

Are these shapes similar? If so please explain

Answers

Answer:

yes

Step-by-step explanation:

because it is the same shape.

Simplify this equation. 20 points i think?

3/5x + 19 - 3/20x - 7

(Please show and explain what you did to simplify this problem because it doesnt make sense to me at all)

Answers

Answer:

Hey buddy, here is your answer. Hope it helps you.

Step-by-step explanation:

3/5x+19-3/20x-7

First convert the fractions so they have a common denominator and rearrange

12/20x-3/20x+19-7

9/20x+12

Someone help meee I hate my teacher she asssign nvm I’m not even gonna say

Answers

Answer:

eating lunch

Step-by-step explanation:

the total time is 60 minutes. 10 minutes is 1/6 of that. 1/6 of 18 (from eating lunch) is 3 minutes. eating lunch is correct. also i hate my teacher sm too

The answer is eating lunch

Graph for 4x + 3y = -3

Answers

Answer:

Your answer is: Slope = [tex]-\frac{4}{3}[/tex] Y-intercept = [tex](0,-1)[/tex]

Graph the line using the slope and y-intercept, or two points.

Step-by-step explanation:

Graph Below : ↓

Hope this helped : )

Is this graph
a function
A. Yes
B. No
PLEASE HELP
14 POINTS OR BRAINLIST

Answers

Answer:   A

Step-by-step explanation:

Yes this graph is a function

A person who weighs 105 pounds on Earth weighs 175 pound on the moon How much does a pound person weigh on the moon?

Answers

Answer:

1.67 pounds

Step-by-step explanation:

The problem above can be solved by using "direct proportion." This proportion shows that as one quantity increases, the other quantity increases and vice-versa.

Step 1: Represent the weight of the person on the moon by n.

Step 2: Set up a proportion.

            [tex]\frac{105}{175}[/tex] = [tex]\frac{1}{n}[/tex]

Step 3: Cross multiply.

            105 x n = 175 x 1

            105n = 175

Step 4: Find n by dividing both sides by 105.

            n = [tex]\frac{175}{105}[/tex]

            n = 1.666 or 1.67 pounds (lowest term)

A pound of person on Earth will weigh 1.67 pounds on the moon.

Solve for x,
-4/5x -3/20
x + 1/4x = -70

Answers

Answer:

x=100

Step-by-step explanation:

Simplify -4/5x-3/20x+1/4x

-7x/10=-70

Multiply both sides of the equation by -10/7.

-10/7*(-7x/10)=-10/7*-70

Simplify both of the equation.

x=100

80 points!

A store had 250 bottles of water. Each week, 40% of the bottles were sold and 48 new bottles arrived in shipments.

Which recursive function best represents the number of bottles of water in the store, given that f(0) = 250?


A. f(n) = f(n − 1) ⋅ 0.6 + 48, n > 0

B. f(n) = 250 − f(n − 1) ⋅ 0.4 + 48, n > 0

C. f(n) = f(n − 1) ⋅ 0.4 + 48, n > 0

D. f(n) = 250 − f(n − 1) ⋅ 0.6 + 48, n > 0

pls give reason

Answers

Answer:

A

Step-by-step explanation:

Given:  

Initial number of bottles = 250

Every week = 40% is sold and 48 bottles arrive.

Week 1 = 250 - (250 x 0.40) + 48 = 250 - 100 + 48 = 198

Week 2 = 198 - (198 x 0.40) + 48 = 198 - 79 + 48 = 167

Answer is: A. f(n ) = f(n - 1) • 0.6 + 48, n > 0.

One afternoon, Supreme sub shop sells 15 subs in 45 minutes. If the shop continues to sell subs at the same rate, about how many subs will the shop sell in 3 hours?

Answers

60 subs
Because it’s 15 per 45 and 45 times 4 is 180 which means that in 3 hours or 180 minutes they sold 15 times 4 amount of subs and 15 times four is 60. Hope this helps. Sorry if the explanation isn’t that good

A coach brought 12,000 milliliters of water to a tournament. How many liters of water did the coach bring?

Answers

Answer:

0.012

Step-by-step explanation:

Answer:

12 liters

Step-by-step explanation:

on google

A shadow 16 meters long is cast by a utility pole that is 12 meters tall. What is the length of
the shadow cast by a nearby apple tree that that is 6 meters tall?
Write your answer as a whole number or a decimal. Do not round.

Answers

Answer:

10

Step-by-step explanation:

does anyone know how to factor this?

Answers

3(4x-3)(x+6) is the answer

Which domain would be most appropriate to the number of download songs?

Answers

Answer:

Step-by-step explanation:

B. Because your domain is the number of songs someone will purchase

Heyyyyy plz help I don’t bite

Answers

sorry but isn’t can’t

Answer:

50.24

Step-by-step explanation:

A = Πr^2

A = 3.14(4)^2

A = 50.24

Other Questions
Read the following selection from Act II of Romeo and Juliet. What does the word in bold most likely mean? (10 points)FRIAR LAURENCEBut come, young waverer, come, go with me,In one respect I'll thy assistant be;For this alliance may so happy prove,To turn your households' rancour to pure love.Bolded- rancourSadness or miseryHappiness or funFriendship or loveHostility or anger 1/2 dived by what equlels 4 Plz HelpWhich of the following sentences would a proofreader need to correct?According to statistics from the International Alliance of Zoos, only three other zoos in the world have successfully birthed polar bear cubs in captivity.Giving birth to polar bear cubs in captivity is very difficult. Says zoo director MikeWilliams. So, were very excited by this prospect.The population of the Metropolitan Zoo is increasing by two, zoo officials told reporters on Tuesday.According to zoo officials, the baby polar bears are expected to arrive just in time for Christmas. Read the sentence and choose the option with the correct verb in the future tense.HELP ASAP PLEASE!Esta noche, Pedro ________ gallina para la cena. comer comern cocinar cocinarn Identify some objects which are copied fromnature like real objects but not their essence andnatural characteristics. Explain your answer. Which of these is a commonly abused prescription? opiate pain relievers heroin ecstasy motion sickness pills What is something that you would find so valuable that you would search the unknown regions of the world in order to find it? A trait such as having a crooked thumb is produced by a (n) How has air conditioning changed the economic activities of the subregions of the United States? Think about: the South and the West the rust belt and the sunbelt Molly had 6 or 33% robins in her yard. Does she need to find a percent, part or whole y varies directly with x. When y = 16, X = 80. What does y equal when x = 125?a.) 50b.) 25c.) 15d.) 20 Who was the leading sculptor in the Italian Neoclassical Revival? Renaldo bicycles long distances, and he has a steady speed. He can ride 126 kilometers in 9 hours. what is the rate of kilometers he can ride in 1, 2, 3, 4, 5 and 6 hours. Solve using EQUATIONS (with step by step explanation)3x+y=-9y=5x+7 Question 5/10Choose the statement that is true about healthinsurance.You do not need health insurance if you do not havea full time job.You don't need health insurance if you are youngand healthy.You don't need health insurance if you are underage 26.You should always have health insurance,regardless of your circumstances. Which of the following was a cause of the Boxer Rebellion?A. The Chinese emperor wanted to regain control of China,B. Competing nations were fighting against each other to control China,C. American troops tried to expel foreign competition from Chinese markets.D. A group of Chinese peasants resisted the loss of their traditional ways ofliving Join the following sentences using relative pronouns8.Mohit had cheated in the exam. He was called by the principal.________________________9.The boss is very strict. He warned the clerk.________________________ Does forcing kids to sit next to each other make them best friends? Is it worth making others feelmiserable?No, I don't think so. I think that there are plenty of other ways we could fix this situation without assigned seats.A student named Lila thinks that her school should have assigned seating in the cafeteria on the other handanother student named josh disagrees and believes that we should not have assigned setting because hebeleives lunch is a time to socialize and he doesn't think that forcing kids to sit next to each other is going tomake them best friends. I believe Cafeterias should give students the choice to sit where they would like.Students should have the choice of where they sit. First of all Forcing kids to sit next to each other doesnot mean they are going to be friends. In fact it actually might start conflicts as well as arguments. Second ofall Lunch is really the only time we can talk, socialize and be a little goofy with our friends and not get yelled atFinally We work hard during school and lunch is like our little break. I don't know about you but I like having abreak to relax and not think about what I have to do next.It is true that finding a seat in the cafeteria is stressful and sometimes can put anxiety on othershowever if someone would ask to sit by me or at my table I would definitely say yes and get to know thatperson. I would never exclude someone and I know that most people would say yes, because I definitely knowhow that feels to feel excluded.In Conclusion I think that we should not have assigned setting for these reasons. Forcing kids to sitnext to each other does not mean they are going to be friends. Lunch is really the only time we can talk andsocialize without getting yelled at and lastly We work hard during school and lunch is like our little break. Describe Islamic society For each of the four major biomolecules, identify the name and structure of its monomer