Augustina has 2 posters with length x inches.
One poster has a width of x + 5 inches, and
the other has a width of x + 7 inches. Write an
expression to represent the area of wall that the
posters will cover.

Augustina Has 2 Posters With Length X Inches.One Poster Has A Width Of X + 5 Inches, Andthe Other Has

Answers

Answer 1

Answer:

2x² + 12x

Step-by-step explanation:

Area of rectangle:

   Area of rectangle = length * width

Poster 1:

        length = x inches

        widht = (x + 5) inches

Area of poster 1 = x * (x + 5)

                           = x*x + x*5     {Distributive property}

                           = x² + 5x square inches

Poster 2:

      length = x inches

       width = (x + 7) inches

Area of poster  =x *(x+ 7)

                        = x*x + x*7

                        = x² + 7x

Area of wall = area of poster1 + area of poster 2

                    = x²+ 5x + x² + 7x

                    = x² + x² + 5x + 7x    {Combine like terms}

                    = 2x² + 12x

Answer 2

Answer:

[tex]2x^2+12x[/tex]

Step-by-step explanation:

Dimensions of Poster 1:

Length = x inchesWidth = (x + 5) inches

Dimensions of Poster 2:

Length = x inchesWidth = (x + 7) inches

The posters can be modeled as rectangles.

[tex]\boxed{\textsf{Area of a rectangle}=\sf length \times width}[/tex]

Therefore, the expressions for the area of each poster are:

[tex]\implies \textsf{Area of Poster 1}=x(x+5)[/tex]

[tex]\implies \textsf{Area of Poster 2}=x(x+7)[/tex]

Therefore, the expression that represents the area of the wall that the posters will cover is the sum of the expressions of the areas of the individual posters:

[tex]\begin{aligned}\textsf{Area of wall posters will cover}&=\textsf{Area of Poster 1}+\textsf{Area of Poster 2}\\& = x(x+5)+x(x+7)\\&=x^2+5x+x^2+7x\\&=x^2+x^2+5x+7x\\&=2x^2+12x\end{aligned}[/tex]


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hilda bought 10 7/20 she left with 21 1/4 using decimal form

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The pounds of pork that Hilda bought based on the information illustrated is 10.9 pounds.

How to calculate the value?

From the information, Hilda bought 10 7/20 lb of beef and some pork and she left with 21 1/4 of meat.

The pounds of pork that she bought  using the decimal form will be:

= Total meat - Pounds of beef

= 21 1/4 - 10 7/20

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Hilda bought 10 7/20 lb of beef and some pork. She left with 21 1/4 of meat. Express the pounds of pork that she bought  using decimal form

Debnil has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3 : 1.

How many tablespoons of salt does Debnil have?

Answers

The number of tablespoons Debnil has is 2 tablespoons

Number of teaspoons of salt with Debnil = 6

Ratio = 3:1

Ratio: mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another. Two quantities are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent."

Let x represent the total number of teaspoons and the tablespoons

Therefore,

6 = 3/4x

x = (6*4)/3

x = 8

So, there are a total of 8 spoons

Now, the number of tablespoons is 1/4 of the total

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what is the answer to this equation.

Answers

Answer:

a = 10

Step-by-step explanation:

9 + a/10 = 10

we are going to be multiplying everything by 10

90 + a = 100

100-90=10

so a =10

The depth of a local lake averages 26 ft, which is represented as |−26|. In February, it measured 5 ft deep, or |−5|, and in July, it was 18 ft deep, or |−18|. What is the difference between the depths in February and July? ( I need help I'm running out of time!!!)


21 feet

23 feet

8 feet

13 feet

Answers

The difference between the depths in February and July is the fourth option that is 13 feet |−13|.

Given that:-

Average of a depth of a local lake = 26 ft represented as |−26|.

Depth of a local lake in February = 5 ft represented as |−5|.

Depth of a local lake in July = 18 ft represented as |−18|.

We have to find the difference between the depths in February and July.

We know that,

Difference between the depths in February and July = Depth in July - Depth in February = 18 - 5 = 13 feet represented as |−13|.

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in a 7 game series played with two teams, the first team to win a total of 4 games is the winner. suppose that each game played is independently won by team a with probability p

Answers

Each game played is independently won by team A with probability p, then team A will surely win the first game.

Given that one team leads 3 to 0, this would mean that in 3 trials, team A won all three games.

The probability of winning 3 out of 3 for team A is

P(A) = P3

The probability of winning 3 out of 3 for team B is

P(B) = (1-P)3

It is given that one of these two scenarios is the case, then the probability it is team A is:

P3/ (P3 + (1-P)3)

The probability that team A would win 0 of the next 4 games is

(1-P)4,

this means the probability that team A wins the series if they are up 3 to 0 is

1 - ( 1 - P ) 4

Similarly, if team A is to win every game, it is surely that they will win the first game.

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Use the slopes of lines A and B to show that
they are perpendicular
to each other.

Answers

The line A and line B are perpendicular to each other.

What is defined as the perpendicular lines?Perpendicular lines are defined in geometry as two lines which meet or intersect at right angles (90°). The term "perpendicular" is derived from the Latin phrase "perpendicularis," which means "a plumb line."The following are the two important properties of perpendicular lines.These lines are always at right angles when they intersect.If two lines seem to be perpendicular to each other, they are parallel and will never intersect.

For the given ques, the graph of line A and line B are given.

The relation of slope of two perpendicular lines is their product of slope is -1.

Line A: select two point lying on the line A.

(2, 3) and (1, 1)

slope = m = (2 - 1)/(3 - 1)

m₁ = 1/2

Line B: select two point lying on the line B.

(8, 0) and (0, 4)

slope = m = (0 - 4)/(8 - 0)

m₂  = -4/8

m₂ = -1/2

Now, multiply both slopes.

m₁ x m₂ = 1/ 2 x -1/2

m₁ x m₂ = - 1

Thus, the line A and line B are perpendicular to each other.

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7/9 - 1/3 divided by 3/4

Answers

Answer:

16/27

Step-by-step explanation:

simplifying

(7/9−1/3)/3/4=16/27

Answer:

Step-by-step explanation:

7/9 - 1/3

= 7/9 = 3/9

= 4/9

4/9 / 3/4

= 4/9 * 4/3

= 16/27 Answer.

Complete the statement. Justify your answer If 11m=3n, then m/n=?

Answers

[tex]11m = 3n \\ \frac{11m}{11 \times n} = \frac{3n}{11 \times n} \\ \frac{m}{n} = \frac{3}{11} [/tex]

ATTACHED IS THE SOLUTION

Zachary purchased a computer for $1,800 on a payment plan. Three months after he purchased the computer, his balance was $1,365. Four months after he purchased the computer, his balance was $1,220. What is an equation that models the balance y after x months?

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Y=1800-(time)(payment)
1365=1800-3(x)
1220=1800-4(x)

Every year, santiago's grandmother knits him a cozy wool sweater for his birthday. santiago's favorite color is red, so she plans to buy 700 yards of red thick wool for his sweater this year. she chooses a wool that is sold in 420-foot skeins. how many skeins should she buy?

Answers

Santiago's grandmother should buy 5 skeins to knit the sweater for his birthday.

Firstly converting the required amount of wool in foot. As per the known fact, 1 yard = 3 feet

So, required amount of wool = 700 × 3

Performing multiplication to find the required amount of wool

Required amount of wool = 2100 feet

Amount of wool in 1 skein = 420 feet

Number of skeins = 2100÷420

Performing division to find the number of skeins to be bought for knitting sweater for birthday

Number of skeins = 5

Therefore, Santiago's grandmother should buy 5 skeins of wool.

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helppppppppppppppppp

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Answer:

B.) cylinder

Step-by-step explanation:

2 circles on either side and a rectangle between them

Given 4.05(−15.6), find the product.

−63.18
−11.55
6.32
561.11

Answers

Answer:-63.18

Step-by-step explanation:

Mai biked 6\frac{3}{4} miles today, and Noah biked 4\frac{1}{2} miles.

How many times the length of Noah’s bike ride was Mai’s bike ride?

Answers

The length of Noah’s bike ride was 1 1/2 of Mai’s bike ride

How to determine the number of times?

From the question, the given parameters are

Distance covered by Mai = 6 3/4 milesDistance covered by Noah = 4 1/2 miles

The number of times the length of Noah’s bike ride was Mai’s bike ride is calculated as

Number of times = Distance covered by Mai/Distance covered by Noah

Substitute the known values in the above equation

So, we have the following equation

Number of times = (6 3/4)/(4 1/2)

Evaluate the quotient in the above equation

Number of times = 1 1/2

Hence. the number of times is 1 1/2 times

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Please answer the question in the photo ( will mark brainliest if correct )

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Answer:

Step-by-step explanation:

5u  = 180° -  ( 120° + 30°) =  180° - 150° = 30°

u = 30° / 5 = 6°

The ACT is a college entrance exam taken by high school students. The maximum score that can be earned is 36. The average score in the United States was 21.2 during a recent year. The average score for Vermont students that year was 7.5% higher than the national average. What was the average ACT score for Vermont students? Round your answer to the nearest tenth.​

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If the average score in the United States was 21.2 during a recent year. The average score for Vermont students that year was 7.5% higher than the national average. The average ACT score for Vermont students is: 22.80.

Average ACT score

Using this formula to determine the average ACT score

Average ACT score  = Average score in the United states  + ( Average score in the United States × Average score for Vermont students)

Let plug in the formula

Average ACT score  = 21.2 + ( 21. 2 × 7.5%)

Average ACT score  = 21.2 + 1.59

Average ACT score = 22.79

Average ACT score = 22.80 (Approximately)

Therefore we can conclude that the average score is 22.80.

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18.) Find the average speed if you walk 6.2 miles in 90 minutes.
A) 14.52 miles per minute
B) .067 miles per minute
C) .069 miles per minute
D) 15 minutes per mile

Answers

C .069 miles aminute

PLEASE HELP
if f(x)=3x-2 and g(x)=x+2/3, find f(g(x))
PHOTO ATTACHED

Answers

Answer:

g(x)= 1

f(x) = 1

f(g(x)) = 1

Step-by-step explanation:

please help asap. due monday

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[tex]$\frac{4x^2+4x}{2x^2-2} =[/tex]

[tex]$\frac{4x\left(x+1\right)}{2x^2-2} =[/tex]

[tex]$\frac{4x\left(x+1\right)}{2\left(x+1\right)\left(x-1\right)} =[/tex]

[tex]$\frac{4x}{2\left(x-1\right)}=[/tex]

[tex]$\frac{2\cdot \:2x}{2\left(x-1\right)} = \frac{2x}{x-1}[/tex]

Answer:

4

Answer and Explanation: Two to the second power is 4. We write two to the second power as follows: 22.\

4 to the power of 2 can be expressed as 42 = 4 × 4 = 16.

Describe one example of a human right that you think is essential for everyone to have throughout the world. Why is this right essential? (

Answers

An example of a human right that I think is essential for everyone to have throughout the world is the right to life.

This right is essential because we all should live and no one should deny others the right.

Whet are human rights?

All people have the same basic legal rights, regardless of their gender, color, nationality, ethnicity, language, religion, or any other distinction. Human rights cover a wide range of rights, such as the freedom from slavery and torture, the right to life and liberty, the freedom of speech, the right to a job and an education, among many more. Human rights, which are usually protected by both domestic and international law, are moral principles or rules for particular standards of human behavior.

Human rights cover a wide range of rights, such as the freedom from slavery and torture, the right to life and liberty, the freedom of speech, the right to a job and an education, among many more. These rights apply to everyone without exception. The idea that a creature has the right to survive and, in particular, shouldn't be killed by another entity, is known as the right to life.

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What is the surface area of the cylinder with height 3 m and radius 8 m?
Round your answer to the nearest thousandth.

Answers

Answer:

3x8x2xπ ≈ 150.796m²

Step-by-step explanation:

when unfolded the cylinder is a rectangle of area equal to:

HxW ; H=height W=width

W is equal to the primer of the circle and the formula for that is:

2xπxr

substituting you get the area of a cylinder as follows:

Hxrx2xπ

You roll a fair 6-sided die twice. Find the probability of getting the same number.

Answers

Answer:2/12

Step-by-step explanation:6x2 is 12 and the chance of getting is 2/12.

Answer: 1/6

Step-by-step explanation:

When you roll a dice, you will get a number from 1-6. It could be any number.

However, to roll a dice and get that same number, out of the 6 numbers, is 1/6.

a grant that your professor received includes funds for three graduate students to attend a conference to present their work. if your professor has eight graduate students and three students can go to the conference, how many choices does your professor have?

Answers

The number of choices that the professor has is 56.

How to calculate the value?

From the information, the professor has eight graduate students and three students can go to the conference. This will be calculated using combination.

Combination formula

nCr = n! / ((n – r)! r!)

n = the number of items. = 8

r = how many items are taken at a time. = 3

Therefore, this will be:

= 8! / (8 - 3)! 3!

= 8! / 5!3!

= 8 × 7 × 6 / 3 × 2

= 56 ways.

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a company with 200 employees grew in size by 25% between 2005 and 2010. the company grew again by 10% between 2010 and 2015. what was the total number of employees in 2015?

Answers

The total number of employees in the company in the year 2015 is 275 employees

Number of employees in the company before increase = 200 employees

Percentage increase in employees between 2005 and 2010 = 25%

Percentage: A percentage is a ratio or fraction where the full value is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test.

So, the number of employees after the increase = 200+25%of 200

= 200+50 = 250

Percentage increase in employees between 2010 and 2015 = 10%

Number of employees after increase = 250 + 10% of 250

= 250 + 25 = 275 employees

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The perimeter of a pool is 116 feet. If the length of the pool is 3 times its width,
what is the width of the pool?
(Show work)

Answers

Answer:

The perimeter P of a rectangular is given by formula P=2l+2w where l is the length and w is width of rectangle.Given that perimeter is 56 meters and length's 16 meters. Substituting values in formula,subtract 32 from both sides -⇒24=2w w=12width of rectangular pool is 12 meters.Hence, the answer is 12.

Answer:

Perimeter = 2(l+b)

Perimeter = 116

width = x

length = 3x

116 = 2(3x+ x)

116 = 6x+2x

116 = 8x

x = 116/8

x = 14.5

You can verify answer by inputing value of x to see if perimeter is = 116 :

perimeter = 2(l+b)

116 = 2(3(14.5) + 14.5)

116 = 2(43.5 + 14.5)

116 = 87 + 29

116 = 116

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She starts with $100 and plans to add $50 each week. write an equation she can use to calculate the amount of money she will have after any number of weeks. how much money will she have after 1 year?

Answers

Main Answer:

2700 dollars

Explanation:

Let x be the number of  weeks and y be the total amount of money, then the equation can be written as,

[tex]y=50x+100[/tex] -------(1)

In a year there are 52 weeks.

Money she will have after 1 year is found out by putting x = 52 in the equation (1), we get

[tex]y=50(52)+100[/tex]

[tex]y=2600+100[/tex]

∴[tex]y=2700[/tex]

Therefore, the money she have after 1 year is 2700 dollars.

Evaluate g(x) = 3x when x= -2,0, and 5.

Answers

Answer:

Step-by-step explanation:

g(x)=3x

g(-2)=3(-2)=-6

g(0)=3(0)=0

g(5)=3(5)=15

Which expression is equivalent to (16z - 10) + (2x + 19)? A- 23x B- 18x + 29 C- 14x + 9 D 13x

Answers

nswer

Option C is correct

14x + 9

Explanation

e need to simplify the sexpression

16x - 10) + (-2x + 19)

= 16x - 10 - 2x + 19

ollect like terms by bringing terms with x together

= 16x - 2x - 10 + 19

= 14x + 9

Hope this Helps!!!

Caroline walks 9 1/2 inches per second. Give each rate in miles per hour. Round to the nearest tenth.

I got 32,400ft/hour. I divided that by 5,280ft because that’s 1 mile and I got 6.47. Rounded and got 6.5. The answer is .5 but I don’t understand how they got it.

Answers

9.5 or 9 1/2 inches per second in miles per hour is 0.5 .

What is conversion of units?
The process of translating measurements of a given quantity between different units, frequently using multiplicative conversion factors that change the value of the measured quantity without changing its effects, is known as unit conversion. The specific circumstances and the desired result dictate the conversion process. This may be governed by a regulation, contract, set of technical requirements, or other publicly available standards.

What is the conversion factor for inch to mile?
A value in inch when divided by 63360 gives a value in mile.

What is the conversion factor for second to hour?
A value in second when divided by 3600 gives a value in hour.


Given, the speed of Caroline in inches per second = 9 1/2 = 9.5/1 - (i)
Therefore following above literature and dividing numerator by 63360 and denominator by 3600, we get the speed in miles per second.
Thus, required speed = [9.5/63360]/[1/3600) = 0.539 = 0.5

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One pound of grout is enough to grout a tiled area that is 110 sq. ft. Alyssa’s kitchen counter is made up of two rectangular segments. One is 10.3 ft by 2.5 ft, and the other is 3.1 ft by 2 ft. Which expression represents the number of pounds of grout Alyssa will need?

Answers

By taking the quotient between the area that one pound covers and the area of the kitchen, we conclude that Alyssa will need 0.29 pounds of grout.

How many pounds will Alyssa need?

We know that one pound of grout covers a total of 110 square feet.

Alyssa's kitchen is made of two rectangular segments, one that measures 10.3ft by 2.5 ft, then the area of this rectangle is:

10.3ft*2.5ft = 25.75 ft²

The other rectangle has dimensions of 3.1ft by 2ft, so the area is:

3.1ft*2ft = 6.2ft²

The total area is:

25.75 ft² + 6.2ft² = 31.95 ft²

Now, with one pond of grout, they can cover 110 ft², then the number of pounds that Alyssa needs is:

N = 31.95 ft²/110 ft² = 0.29

Alyssa will need 0.29 pounds of grout.

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The function h (x) = startfraction 1 over x squared 1 endfraction is the result of the composition f(g(x)). if g(x) = x2 1, what is f(x)? f (x) = startfraction 1 over startroot x endroot f (x) = startfraction 1 over x 1 endfraction f (x) = startfraction 1 over x squared 1 endfraction

Answers

This means that function of (x²+ 1) will give 1/(x²+ 1). To  get f(x), we will simply replace x²+ 1 in the function f(x²+ 1) with x to give;

f(x) = 1/x

How do you define a function?

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given h(x) = 1/(x²+ 1) and g(x) = x²+ 1. If h(x) = f(g(x)) then;

1/(x²+ 1) = f(x²+ 1)

f(x²+ 1) = 1/(x²+ 1)

This means that function of (x²+ 1) will give 1/(x²+ 1). To  get f(x), we will simply replace x²+ 1 in the function f(x²+ 1) with x to give output ;

f(x) = 1/x

Hence the function of x i.e f(x) is 1/x

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