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

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:

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.

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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.

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:

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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

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

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 : )

does anyone know how to factor this?

Answers

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

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

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

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.

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

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

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

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

Answers

Answer:

-62

Step-by-step explanation:

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.

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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.

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:

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

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

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.

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

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.

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

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 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.

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.

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:

The Answer and yea idk

Answers

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