Below is a drawing of a wall that is to be covered with either wallpaper or paint. The wall is 8 ft. high and
16 ft wide. The window, mirror, and fireplace are not to be painted or papered. The window measures 18 in wide
and 14t. high. The fireplace is sit wide and 3 it. High while the mirror above the fireplace is 4 ft. wide and 2 ft.
high. Note: this drawing is not to scale)
How many square feet of wallpaper are needed to cover the wall?

Below Is A Drawing Of A Wall That Is To Be Covered With Either Wallpaper Or Paint. The Wall Is 8 Ft.

Answers

Answer 1

84 sq. ft of the wall has to be covered with paint or wallpaper.

Step-by-step explanation:

Step 1: Find the area of wallpaper to be covered by calculating the area of the wall and subtracting the areas of the window, mirror and fireplace from it. All are rectangular in shape with are given by A = length × width

Area of the wall = 8 × 16 = 128 ft²

Area of the window = 18/12 × 14 = 1.5 × 14 = 21 ft² (since 1 ft = 12 in)

Area of the fireplace = 5 × 3 = 15 ft²

Area of the mirror = 4 × 2 = 8 ft²

Step 2: Calculate the area to be painted or covered with wallpaper

Area of the wall to be covered with paint or wallpaper = 128 - (21 + 15 + 8)

                              = 128 - 44

                              = 84 ft²

Answer 2

Answer:

84 ft²

Step-by-step explanation:

Step 1: Find the area of the wall.

The wall is 8 ft high and  16 ft wide

A = LW

A = (16)(8)

A = 128 ft²

Step 2: Find the area of the window, fireplace, and mirror.

Window: The window measures 18 in wide  and 14 ft high

18 in = 1.5 ft

A = LW

A = (14)(1.5)

A = 21 ft²

Fireplace: The fireplace is 5 ft wide and 3 ft high

A = LW

A = (3)(5)

A = 15 ft²

Mirror: The mirror above the fireplace is 4 ft wide and 2 ft high

A = LW

A = (2)(4)

A = 8 ft²

Step 3: Add all the areas of the three objects (window, fireplace, and mirror)

A = 21 + 15 + 8

A = 36 + 8

A = 44 ft²

Step 4: Subtract the total area of the objects from the area of the wall.

A = 128 ft² - 44 ft²

A = 84 ft²


Related Questions

What is the range of y = –5sin(x)? all real numbers Negative 5 less-than-or-equal-to y less-than-or-equal-to 5 all real numbers Negative five-halves less-than-or-equal-to y less-than-or-equal-to five-halves all real numbers Negative 1 less-than-or-equal-to y less-than-or-equal-to 1 all real numbers Negative one-fifth less-than-or-equal-to y less-than-or-equal-to one-fifth

Answers

Answer:

The range of given function is

[tex][-5,5][/tex]    

Step-by-step explanation:

We are given the function:

[tex]y = -5\sin(x)[/tex]

We have to find the range of the given function.

Range of function

Range is the collection of all possible values of y for the domain of function.

Range of basic sine function is

[tex]-1\leq \sin(x) \leq 1[/tex]

Multiplying the range by -5

[tex]5\geq -5\sin(x) \geq -5[/tex]

Thus, the range of given function is

[tex]-5\leq -5\sin(x) \leq 5[/tex]

[tex]-5\leq y\leq 5[/tex]

Thus, the range of given function is

[tex][-5,5][/tex]

The attached image shows the graph for the given function.

All real numbers {y | − 5 ≤ y ≤ 5 }

Step-by-step explanation:

Given a circle U which has a center at coordinates (1,3) and a point on its circumference at (2, 2), what is the area of the circle?

Answers

Answer:do anyone know the answer yet

Step-by-step explanation:

Find the least common multiple of these two expressions.
4v^7 w^5 and 10v^2w^4y^8

Answers

Answer:

20v^7w^5y^8.

Step-by-step explanation:

The LCM of 4 and 10 is 20.

of v^7 and v^2 is v^7

of w^5 and w^4 is w^5

So the answer is 20v^7w^5y^8.

Which fraction is equivalent to
6
8
?

Answers

Answer:

3/4

Step-by-step explanation:

Step 1:  Simplify

6/8 is same as (6/2) / (8/2)

3 / 4

Answer:  3/4

Answer:

12/16, 18/24 24/32 etc.

Step-by-step explanation:

6×2/8×2=12/16, 6×3/8×3=18/24, 6×4/8×4=24/32 and so on. If you keep multiplying the numerator and denominator of the original fractions by natural numbers, the results are equivalent fractions.

John is saving $6 a week. He has already saved $28. How many weeks will it take John to reach his goal of $100?

Answers

Answer:

12 weeks

Step-by-step explanation:

If John is aiming to save $100, with $6 a week and he has already saved $28. The leftover amount to be saved is $100 - $28 = $72

In one week → $6

2 weeks → $12

3 weeks → $18

and so on..

[tex]\frac{72}{6} = 12[/tex]

John will need 12 more weeks to save a total of $100.

Will give brainlest
g(-5)=?

Answers

Answer:

-6

Step-by-step explanation:

g(-5) is the value of function g at x value -5

the graph shows the point (-5,-6), so g(-5)=-6

Answer:

-6

Step-by-step explanation:

PLEASE ANSWERRRR

What type of association does this graph have?

A. Positive
B. None
C. Negative
D. All of the above

Answers

Answer:

positive

Step-by-step explanation:

If the variables tend to increase and decrease together, the association is positive.

hope this helps :)

Positive. Numbers increase.

A rectangular prism has a length of 4 1/2, a width of 4 1/2 and a height of 6. Sally has a storage container for the prism that has A volume of 143 cubic. What is the difference between the volume of the prism and the volume of the storage container

Answers

Question:

A rectangular prism has a length of 4 1/2 millimeters, a width of 4 1/2 millimeters, and a height of 6 millimeters.

Sally has a storage container for the prism that has a volume of 143 cubic millimeters.

What is the difference between the volume of the prism and the volume of the storage container?

Answer:

The difference between the volume of the prism and the volume of the storage container is 21.5 cubic millimeter

Solution:

Volume of rectangular prism is given as:

[tex]volume = length \times width \times height[/tex]

From given,

[tex]length = 4\frac{1}{2} = \frac{9}{2}\ mm\\\\width = 4\frac{1}{2} = \frac{9}{2}\ mm\\\\height = 6\ mm[/tex]

Therefore,

[tex]volume = \frac{9}{2} \times \frac{9}{2} \times 6 = 121.5\ mm^3[/tex]

Sally has a storage container for the prism that has a volume of 143 cubic millimeters

What is the difference between the volume of the prism and the volume of the storage container

Difference = 143 - 121.5 = 21.5

Thus difference between the volume of the prism and the volume of the storage container is 21.5 cubic millimeter

Please help this is hard

Answers

Answer:

x = 10

Step-by-step explanation:

130 = 8x + 50

Step 1:  Solve for x

130 - 50 = 8x + 50 - 50

80 / 8 = 8x / 8

10 = x

Answer:  x = 10

Answer:

x=10

Step-by-step explanation:

8x+50=130

8x=80

x=10

What is the perimeter of triangle ABC?

Answers

Answer: 24 units.

Step-by-step explanation: Count out how many units long AB is. AB goes from -3 to 3, for a length of 6 units.

Count out how long AC is. AC goes from 4 to -4, for a length of 8 units.

To find BC, use the Pythgorean theorem (a^2+b^2=c^2). 8^2 is 64, and 6^2 is 36. Add 64 and 36 to get 100. Then find the square root of 100, which is 10.

Add all the lengths. 6+8+10=24.

I need help with this question please
ANSWER ASAP!!!!

Answers

Answer:

256 to the 2nd power

Step-by-step explanation: you see 4 tothe 4th power right. your going to multiply 4x4 4 times. The answer is 256 and you add the 2 above it.Got it

{PLEASE ANSWER QUICKLY!}
Graph y=  –7/3x+2 .

Answers

Answer:

graph is linked!

hope this helps :)

I need help with this IXL for my homework! Please help ASAP!! I'll mark BRAINLIEST if its right!

Answers

The 1 copy makes the cost equivalent in two options and the cost of 1 copy is $41.

Step-by-step explanation:

The given information are that,

Elsa could use a printer in which it cost a $38 setup fee and $3 for each copy.

Elsa could go to a supply store in which it cost $36 up-front fee and $5 for each copy.

To find the same amount for certain number of copies in both the cases :

Let us assume that the number of copies be 'x'.

In the first case, the total cost will be = setup fee + cost for x copies.

Total cost = 38 + 3x

In the second case, the total cost will be = up-front fee + cost for x copies.

Total cost = 36 + 5x

To find the x value :

Equating the total cost of both the cases, we get

38 + 3x = 36 + 5x

⇒ 38-36 = 5x-3x

⇒ 2 = 2x

x = 1 copy

Therefore, taking 1 copy make the two options equivalent in terms of cost.

The cost of 1 copy = 38+ 3(1) = 41 dollars.

Therefore, it would cost $41 for 1 copy.

Which type of sequence is shown ?
-2,0,2,4,6

Answers

a linear function because it has a constant rate of change (CROC)

Answer:

D arithmetc

Step-by-step explanation:

i think

Greatest common factor 16, and 24

Answers

Answer:

The answer is 8. :D Hope this helps!

Explanation Edit: The greatest common factor is 8. Out of all the like terms, 1, 2, 4, and 8, 8 is the greatest. The greatest term is 8 = The greatest common factor. 8 is the greatest common factor.

[tex]\large\text{Hey there!}[/tex]

[tex]\large\text{Greatest common factor (GCF) of 16 \& 24}[/tex]

[tex]\large\text{16: 1, 2 , 4 , 8 , \& 16}[/tex]

[tex]\large\text{24: 1 , 2 , 3 , 4 , 6 , 8 , 12 , \& 24}[/tex]

[tex]\large\text{Like terms of both of your numbers: 1, 2, 4, \& 8}[/tex]

[tex]\large\text{The GREATEST out of like terms is: 8}[/tex]

[tex]\boxed{\boxed{\large\text{Thus, your answer is :\boxed{\large\text{\bf{Your Greatest Common Factor is: \underline{8}}}}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

8 g + 10 = 35 + 3 g

Answers

Answer:

g = 5

Step-by-step explanation:

8 g + 10 = 35 + 3 g

in order to get the value of g, firt of all rearrange the expression or in ither words collect the like terms.

8 g + 10 = 35 + 3 g

8g + 10 - 3g = 35

NOTE; when you are moving a number with positive sign across the equal to = sign the positive changes to negative and same thing applies to the negative sign it changes to positive sign.

we have;

8g -3g = 35 - 10

5g = 25

divide both sides by 5

5g/5 = 25/5

g = 5


The sum of two numbers is 47 and the difference is 19. What are the numbers?

Answers

Answer: The two numbers are 33 and 14

Step-by-step explanation: We shall start by first assigning letters to unknown variables. Therefore let the two numbers be called a and b. The first clue in this question states that the sum of both a and b equals 47. That means we can write the expression;

a + b = 47.

The second clue states that their difference equals 19. This also can be expressed as follows;

a - b = 19

Now we have a pair of simultaneous equations which are

a + b = 47 ———(1)

a - b = 19 ———-(2)

We shall use the substitution method. Therefore from equation (1), make a the subject of the equation.

a = 47 - b

Next we substitute for the value of a in equation (2)

a - b = 19

47 - b - b = 19

47 -2b = 19

By collecting like terms we now have 47 - 19 = 2b

28 = 2b

Divide both sides of the equation by 2

14 = b

We can now substitute for the value of b into equation (1)

a + b = 47

a + 14 = 47

Subtract 14 from both sides of the equation

a = 33.

Therefore the two numbers are 33 and 14.

Final answer:

The two numbers with a sum of 47 and a difference of 19 are 33 and 14. We found this by setting up two equations based on the given information and solving for the two variables.

Explanation:

The sum of two numbers is 47 and the difference is 19. To find these two numbers, we can set up a system of equations and solve them. Let the numbers be x and y.

x + y = 47 (equation 1)x - y = 19 (equation 2)

Adding both equations, we get 2x = 66, hence x = 33.

Substituting x in equation 1, we get 33 + y = 47, hence y = 47 - 33 = 14.

Therefore, the two numbers are 33 and 14.

5x-2y=30 complete the missing value in the solution to the question (8, )

Answers

Answer:

(8,5)

Step-by-step explanation:

5x-2y=30

lets substitute "8" as x and see where that takes us

5(8)-2y=30

40-2y=30

subtract 40 on both sides

-2y=-10

divide by "-2" on both sides

y=5

(8,5) is your answer

Answer:

asd

Step-by-step explanation:

3a^2 (ab^2+b^2)=
How much

Answers

Answer is 3a²b (a + b)

Step-by-step explanation:

Step 1: Find 3a² (ab²+b²)

⇒ 3a² (ab²+b²) = 3a³b + 3a²b² = 3a²b (a + b)


A = {1,4,5,7}
B = {1,7,9,12}
Find A ∩ B.

A) {1,4,5,7,9,12}
B) {1,7}
C) {1}
D) {7}

Answers

Answer:

B)

Step-by-step explanation:

A ∩ B means all the elements that appear in both of the groups

therefore:

1 nad 7 appear in both

the correct answer is B) 1 and 7

Answer:

pretty sure it A many people said B was wrong

Step-by-step explanation:

what would the slope of y= -2/5x + 4 be and how can it be broken down for me to understand?​

Answers

Answer:

So, the slope is the number attached to the x.

In this case the slope is -2/5.

Example:  y = 5x + 3

In this case, the slope is 5 because it is the number attached to the x.

HOPE THIS HELPS :)

Trina's car uses 12 gallons of gas to travel 144 miles. If she has 6 gallons of gas in the tank, how much more gas will she need to drive 240 miles?

Answers

Answer:

34

Step-by-step explanation:

ok so first you need to divide 144 by 12 = 12

then you need to figure if you split that in half it equals 6.

now we know that for every 12 miles you drive, you need 1 gallon of gas

now you need to divide 240 by 6 = 40

so you will need 40 gallons of gas to drive that far

we are not one yet, then you need to take away 6 from 40 witch comes to 34.

so you will need 34 more gallons of gas

please give brainleist!!!!

Answer:

Same Gas

Step-by-step explanation:

Using FOIL method. Multiply the terms. (X^2 -7)(x^2 -4)

Answers

Answer:

x^4-11x^2+28

Step-by-step explanation:

Set it up

x^2(x^2-4) -7(x^2-4)

    2. Multiply

x^4-4x^2-7x^2+28

    3. Simplify

x^4-11x^2+28

how do you turn 245/360 into a decimal

Answers

Answer:

0.53

Step-by-step explanation:

If you want to make it simpler you can simplify it.

To make our lives more simpler lets use that route.

[tex]\frac{245}{360} =\frac{49}{75}[/tex]

Now you would divide:

0.53...

So, 0.53

Hope this helped!

solve the equation 4x — 3y = y —12 for x if y is 6. Make sure to first solve the equation for x in terms of y. X= ________

Answers

This is the answer for the question above

Answer:

x = 3

Step-by-step explanation:

4x - 3y = y - 12

If y = 6

4x - 3 x 6 = 6 - 12

4x -18 = -6

Add 18 to both sides

4x - 18 + 18 = -6 + 18

4x = 12

Divide both sides by 4

x = 12/4

x = 3

Write 6-1 as a fraction.​

Answers

Answer: 5/1

Step-by-step explanation:

6-1=5

put that under 1 to make the fraction 5/1

I'm unsure if this is correct, but I assume the answer shall be:

6-1/1, Both numbers are whole numbers. So, as a fraction, whole numbers are put over 1. So 6 minus 1 over 1. (Sorry if this is incorrect.)

Finding a Percentile In Exercises 35–38, use the data set, which represents the ages of 30 executives.

43 57 65 47 57 41 56 53 61 54 56 50 66 56 50 61 47 40 50 43 54 41 48 45 28 35 38 43 42 44

35. Find the percentile that corresponds to an age of 40 years old.
36. Find the percentile that corresponds to an age of 56 years old.
37. Which ages are above the 75th percentile?
38. Which ages are below the 25th percentile?

Answers

Final answer:

To find the percentile, sort the data, count the values below the given value, divide by the total number of values, and multiply by 100.

Explanation:

To find the percentile that corresponds to a specific age in a data set, you need to calculate the percentile rank. The percentile rank represents the percentage of values in the data set that are below the given value. Here are the steps to find the percentile:

Sort the data set in ascending order.Count the number of values in the data set below the given value.Divide the count by the total number of values in the data set.Multiply the result by 100 to get the percentile rank.

For example, to find the percentile that corresponds to an age of 40 years old in the given data set, you would follow these steps:

Sort the data set: 28, 35, 35, 38, 40, 41, 41, 42, 43, 43, 44, 45, 47, 47, 48, 50, 50, 50, 53, 54, 54, 56, 56, 56, 57, 57, 61, 61, 65, 66Count the number of values below 40: 5Divide 5 by 30 (total number of values) to get 0.1667Multiply 0.1667 by 100 to get the percentile rank: 16.67%

Learn more about percentile here:

https://brainly.com/question/31390269

#SPJ3

Mary mixes white paint and blue paint in the ratio 2:3

She makes a total of 20 litres of paint.

How much more blue paint does she need to add to the mixture so that the ratio of white paint to blue paint becomes 1:7?

Answers

Given:

Ratio of white and blue paint is 2:3

Total quantity of paint is 20 litres

To find:

Quantity of blue paint to be mixed so that the ratio of white paint to blue paint becomes 1:7

Solution:

The ratio 2:3 totals 20 that is [tex]2x+3x=20\rightarrow5x=20\rightarrow x=4[/tex]

So, the quantity of white paint in the mixture is [tex]2\times4=8[/tex] and the quantity of blue paint in the mixture is [tex]3\times4=12[/tex]

Now, to get the final ratio as 1:7, Mary should have [tex]7\times8=56 \text{ litres }[/tex] of blue paint. So, she need to add [tex]56-12=44 \text{ litres}[/tex].

Therefore, Mary has to add 44 litres of blue paint to the mixture to make the ratio as 1:7.

A cyclist can cover a distance of 18 miles in 45 minute. How many miles the cyclist can cover in 6 hours?

Answers

First, lets find how many miles the cyclist can ride per minute (speed = distance/time).

18/45 = 0.4 miles per minutes

Second, lets find how many miles the cyclist can ride per hour.

0.4 * 60 = 24 miles per hour

Third, lets find how many miles teh cyclist can ride in 6 hours.

24 * 6 = 144 miles in 6 hours

Best of Luck!

Consider the following equation f(x)=(x^2+4)/(4x^2-4x-8)

Answers

Question:

Consider the following equation: f(x)=x^2+4\4x^2-4x-8 name the vertical asymptote(s)

Answer:

The vertical asymptotes are x = 2 or x = -1

Solution:

Given that,

[tex]f(x)=\frac{x^2+4}{4x^2-4x-8}[/tex]

For vertical asymptotes, set the denominator to zero and then solve the quadratic equation

[tex]4x^2-4x-8=0\\\\Divide\ by\ 2\\\\x^2 - 2x - 4 = 0[/tex]

[tex]Split\ the\ middle\ term\\\\x^2+x-2x-2=0\\\\Group\ the\ equation\\\\(x^2 + x) - (2x + 2) = 0\\\\Factor\ the\ common\ term\\\\x(x + 1) - 2(x + 1) = 0\\\\(x + 1)(x - 2) = 0\\\\Therefore,\\\\x + 1 = 0\\\\x = -1\\\\And\\\\x - 2 = 0\\\\x = 2[/tex]

Thus the vertical asymptotes are x = - 1 and x = 2

Answer: x=-1 and x=2 because (this is where the function is undefined) name of horizontal asymptote (y=1/4) because (m=n)

Step-by-step explanation: on edge

Other Questions
how did the people on the home front support the war effort? Translate the phrase into an algebraic expression. The sum of 17 and twice a number For each of the following languages, state with justification whether it isrecognizableor unrecognizable.(a)LHALT376={(M, x) : machine halts on input after 376 or more steps}(b)LLIKES-SOME-EVEN={M:Maccepts some even number}(c)L Following birth, the newborn's independent circulatory system is established. If there is an abnormal opening between the chambers in the heart, which cardiac defect may occur What is the velocity of a wave with a frequency of 4.0 Hz and a wavelength of 0.50 m/wave? The personality trait with the strongest positive relationship with job performance is: Select one: A. Proactivity B. Conscientiousness C. Extraversion D. Agreeableness E. Emotional stability You have a WordPress site hosted on EC2 with a MySQL database hosted on RDS. The majority of your traffic is read traffic. There is only write traffic when you create a new blog. One of your blogs has gone viral and your WordPress site is struggling to cope. You check your CloudWatch metrics and notice your RDS instance is at 100% CPU utilization. What two steps should you take to reduce the CPU utilization? how did the civil war impact north carolina economically 1. How many pieces of 12-1/2" long wood can be cut from a piece ofwood that is 39-3/4" long? *o A. 2o B.3o C.6OD.7 If the speed of x meters per second is equivalent to the speed of y kilometers per hour,what is y in terms of x ? (1 kilometer = 1,000 meters) A. 5x/18 B. 6x/5 C. 18x/5 D. 60x E. 3,600,000x 88 If the derivative property of phasors is multiplication of the phasor by j, the integral property of phasors is division of the phasor by j. Use phasors and these properties to find the sinusoids in each of the following: 2 ( t ) = 1 100 d 1 ( t ) d t + 20 1 ( t ) and 1(t) = 10 cos(100t + 90) V i 2 ( t ) = 10 i 1 ( t ) d t 3 i 1 ( t ) and i1(t) = 4 cos(5t) A 20 POINTS AND BRAINLIEST!!!Analyze that sectional conflict and relate it to the issues that divided Democratic Republicans and National Republicans during the Jacksonian Period. How did this conflict lead to the Civil War? The stages below are not in the right order. Number the stages in the correct order._____ The star begins to run out of fuel and expands into a red giant or red supergiant._____ Stars start out as diffused clouds of gas and dust drifting through space. A single one of these clouds is called a nebula_____ What happens next depends on the mass of the star._____ Heat and pressure build in the core of the protostar until nuclear fusion takes place._____ The force of gravity pulls a nebula together forming clumps called protostars._____ Hydrogen atoms are fused together generating an enormous amount of energy igniting the star causing it to shine. Describe What kind ofions do metals form? Whatkind of ions do nonmetalsform? Braden's Sports sells golf tees in packs of 2. Meanwhile, Wayne's Gear sells them in packs of6. If both shops sold the same number of golf tees this week, what is the smallest number oftees each could have sold? Take a look at "Big Changes in the Music Biz." Explain why some people believe there arebetter days ahead for the music industry.A.Traditional music formats are still popular in some countries other than the U.S., suchas in Russia.B.Licenses to music recordings can be applied to formats for newer technologies, suchas the Internet and cell phones.C.Consumers are more willing to pay more for music in a digital format than in some ofthe more traditional formats.D.Warner Music, which accounts for 20 percent of the music sold in the U.S., is notstruggling as much as it was prior to 2010. Reread the highlighted stanza. What two things are compared in asimile?Rise and Shine!by Ike Batistedream memories and fall leavessummer and fallAll I want is to sleep a bit longer,But the sun pokes its bright head above my sill,Like an eager toddler who can't wait to play"Peek-a-boo! I see you!"Not yet! Not yet! I'm having the nicest dream!But sleep, that thief, sees the sun comingAnd silently slips out the back door,Stealing my sweet dream away.chasing and catchingWhat was I dreaming? It's coming back to me!But scraps of dream memories drift just out of reachLike fall leaves dancing in the windThat I chase madly but cannot catch.real leaves and dream leaves By the help of which factor do RBC absorb oxygen? The total factory overhead for Rowland Company is budgeted for the year at $652,000 and divided into two departments: Fabrication $460,000 and Assembly $192,000. Rowland manufactures two products: treadmills and weight machines. Each treadmill requires 3 direct labor hours in Fabrication and 1 direct labor hour in Assembly. Each weight machine requires 2 direct labor hours in Fabrication and 5 direct labor hours in Assembly. Each product is budgeted for 4,000 units of production for the year.Determine the factory overhead allocated per unit for each weight machine, using the department factory overhead allocation rates.a. $77.00b. $163.00c. $86.00d. $81.50 which question can be answered using the scientific method process?