Leyla is redecorating her living room. The room is in the shape of a right rectangular prism. The dimensions of the room are 15 feet in length by 10 feet in width by 8 feet in height.
She plans to cover the floor with hardwood. The cost of the hardwood is $3 per square foot. She plans to cover the walls and the ceiling with paint. Each container of paint costs $30 and can cover 275 ft².
What is the total cost of the hardwood flooring and paint needed for this room?


Drag and drop the responses to correctly complete these sentences.

Leyla Is Redecorating Her Living Room. The Room Is In The Shape Of A Right Rectangular Prism. The Dimensions

Answers

Answer 1

Answer:

Total floor: 150 sq ft = $450

Wall and Ceiling: 550 sq ft = $60

Total cost $510

Step-by-step explanation:

Floor: 15 sq ft * 10 sq ft (L * W) = 150 sq ft

150 sq ft * $3 = $450

Walls: 2(H * L) = 2(8*15) = 240 sq ft

2(H * W) = 2(8*10) = 160

Total walls sq ft = 400 sq ft

Ceiling is same as floor = 150 sq ft

Total sq ft painted = 550 sq ft

550 sq ft / 275 sq ft (covered per paint) = 2 paints = $60

$450 floor + $60 paint = $ 510

Answer 2

Answer:

$510

Step-by-step explanation:

The floor of the room measures 15 ft in length and 10 ft in width.

The area of the floor is length × width = 15 ft × 10 ft = 150 ft².

The hardwood costs $3/ft².

The cost of the hardwood is: $3/ft² × 150 ft² = $450

The area of the walls is the lateral surface area of the rectangular prism.

The lateral surface area of the rectangular prism is the perimeter of the base times the height.

perimeter of the base = 15 ft + 15 ft + 10 ft + 10 ft = 50 ft

height = 8 ft

lateral area = total area of the walls = perimeter × height = 50 ft × 8 ft = 400 ft²

The paint costs $30/(275 ft²).

She needs to paint 400 ft².

400 ft² / 275 ft² = 1.45

She needs 1.45 containers of paint, but she must buy full containers of paint, so she must buy 2 containers since 1 container is not enough.

Cost of paint: 2 × $30 = 60

Total cost of hardwood and paint = $450 + $60 = $510


Related Questions

please Help me, please :)

Answers

Answer:

i believe the  answer to this is (C)

Step-by-step explanation:

A 10 inch candle burns at a rate of 1.2 inches an hour. How many hours mess the candle burn until it is less than 1 inch tall

Answers

8 hours
1 x 8 = 8
.2 x 10 = .20
.10 = 1
.20 - .10 or 1 = 1
1+1 = 2
2+ 8 = 10 hours

Complete the table
I WILL MARK BRAINLIEST AND GIVE THANKS

Answers

Answer:

Step-by-step explanation:

hours              Cost

  0                   $15

   1                    $15 + 2.50 = $17.50

   2                    $15 + 2.50(2) = $15 + 5 = $20

   3                     $15 + 2.50(3)= $15 + 7.50 = $22.50

   4.                     $15 + 2.50(4)= $15 + 10 = $25

Compare the graphs that jennifer and matt drew by completing the statements. jennifer’s graph is vertically shifted from matt’s graph. jennifer’s graph is horizontally shifted from matt’s graph. jennifer’s graph is matt’s graph. which graph has a vertex that is a maximum?

Answers

Jennifer’s graph is vertically shifted from Matt’s graph by 2 units. and none of the graphs has their vertex at maximum.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The function of the graph that is drawn by Jennifer is f(x)=2x²+4x, while the function that is drawn by Matt is g(x)=2(x+1)².

If we compare the function of the two graphs,

[tex]g(x)=2(x+1)^2\\g(x)=2(x^2+1+2x)\\g(x) = 2x^2+2+4x\\\\f(x)=2x^2+4\\[/tex]

As we can see that the only difference between the two of the function is +2, therefore, the only difference between Jennifer's graph and Matt's graph is that the graph of Jennifer’s graph is vertically shifted from Matt’s graph. As shown in the below image.

Thus, Jennifer’s graph is vertically shifted from Matt’s graph by 2 units.

If we draw two of the graph on the graph we will notice that the two of the functions will have their maximum at their vertex, as both graphs are opening upwards.

Hence, Jennifer’s graph is vertically shifted from Matt’s graph by 2 units. and none of the graphs has their vertex at maximum.

Learn more about Function:

https://brainly.com/question/5245372

Answer:
1. 2 units down
2. 0 units left or right
3. the same shape as
4. Neither Jennifer's nor Matt's

correct on edge 2023 have a good day :)

Carmen received a gift of $5,000 from her grandmother and decided to invest it. the expression 5000(1.0005)^12t represents the amount of the money carmen is earning on her investment. carmen wants to write an equivalent expression so that she can better understand how her money is being invested. choose an equivalent expression in each drop down.

Answers

The equivalent expression for the expression that represents the amount Carmen would earn is 5000(1.0005^12)^t.

What is the equivalent expression?

Based on the expression given, Carmen's investment is compounded monthly.

The formula for calculating future value:

FV = P (1 + r)^nm

FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years

5000(1.0005)^12t

= 5000(1.0005^12)^t

50002.5^12t

Please find attached the complete question.To learn more about future value, please check: https://brainly.com/question/18760477

Find the diameter of the circle with the given circumference. Use 3.14 . C=16 cm

Answers

Answer:

5.1 cm

Step-by-step explanation:

The equation for the circumference of a circle is 2πr or πd.

So, we can plug in 16 and 3.14 to get 16 = 3.14×diameter.

Divide both sides by 3.14 to get approximately 5.1 cm.

Hope that helps! :)

Put the equation below into vertex form.

y=(x+9)(x+25)

Answers

Answer: (-17,-24)
Explanation: y= x^2+34x+225
a=1, b=34
X= - 34/2+1
x = -17
Y= (x+9)(x+25), x=-17
Y=-64
So vertex is (-17,-64)
If you put the equation into standard form and use point of symmetry formula to find the vertex you can answer the problem.

standard form:
y = ax^2 + bx + c
y = x^2 + 34x + 225
a=1 b=34 c=225

point of symmetry formula:
x = -b/2a
x = -34/2
x = -14

plug in x to find the vertex

y = (-14+9)(-14+25)
y = (-5)(11)
y = -55

vertex = (-14,-55)

vertex form
y = a(x-h)^2 + k [where (h,k) is the vertex]

so your answer is:

y = 1(x-(-14))^2 + (-55)

or

y = (x+14)^2 - 55


I hope this helps and is the BRAINLIEST!!

Good luck with your studies!

a. In the library there are 2,345 science books, 1,469 history books, 270 chairs, and 628 ma zines. How many readable items in all are in the library?​

Answers

Answer:

4442

Step-by-step explanation:

We Cant Read A Chair So We Exclude Chairs.

Therefore, 2345+1469+628

Which is equals to 4442

solve this system of equations using substitution, show your work (ANSWER QUICK PLEASE)

Answers

Answer:

[tex]\boxed{\sf{y=-50 \quad x=3}}[/tex]

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

y=-15x-5 and 11x+y=-17

First, you have to substitute.

[tex]\sf{y=-15x-5=11x-15x-5=-17}[/tex]

Then, you solve.

[tex]\sf{-4x-5=-17}[/tex]

Add by 5 from both sides.

-4x-5+5=-17+5

Solve.

-17+5=-12

-4x=-12

Divide by -4 from both sides.

-4x/-4=-12/-4

Solve.

-12/-4=3

x=3

y=-15*3-5


Solve.

PEMDAS stands for:

ParenthesisExponentsMultiplyDivideAddSubtract

15*3=45

Rewrite the problem down.

y=-45-5

Solve.

y=-50

Therefore, the correct answer is y=-50 and x=3.

I hope this helps you! Let me know if my answer is wrong or not.  

Bonjour !
Please solve My maths problem.
If X = 2y +6, then find the value of x³ - 8y³ - 36xy -216.
Hint - answer is 0
Kindly Show steps
I desperately need help with this question.
Correct person will be appreciated and brainlist will be awarded
Irellevant answer won't be tolerated and will be reported immediately.
Thank you in. advance !

Answers

y = 1

Step-by-step explanation:

X = 2y + 6

X³ - 8y³ - 36xy - 216 = 0

(subsitute)

(2y + 6)³ - 8y³ - 36(2y + 6)y -216 = 0

(concentrate on first part)

(2y + 6)(2y + 6)(2y + 6)

(4y² + 12y + 12y + 36)(2y + 6)

(4y² + 24y + 36)(2y + 6)

8y³ + 24y² + 48y² + 144y + 72y + 216

(back to full equation)

8y³ + 72y² + 216y + 216 - 8y³ - 36(2y + 6)y - 216 = 0

(factor the last part)

-36(2y + 6)y

y(-72y - 216)

-72y² - 216y

(back to main equation)

8y³ + 72y² + 216y + 216 - 8y³ - 72y² - 216y - 216 = 0

(start to cancel out)

8y³ and -8y³ cancel

72y² + 216y + 216 - 72y² - 216y - 216 = 0

72y² and -72y² cancel

216y + 216 - 216y - 216 = 0

216y and -216y cancel

216 - 216 = 0

those cancel

0y = 0

add 1 to both sides

y = 1.

(I hope this helped)

Here's Francesca's description of the scatterplot:
There is a strong nonlinear association between group size and time. There don't seem to be any outliers.
What, if anything, is missing from this description?
Choose 1 answer:
A:Form
B: Direction
C: Strength
D: Outliers
E: Nothing is missing: this is a complete description.

Answers

the answer is a . because i said so .

A new club sent out 180 coupons to boost sales for next year's memberships. They provided 4 times as many to potential members than to existing members. How many coupons did they send to existing members?

Answers

They sent 36 coupons to the existing members

A rectangular prism has a length of 14in, a height of 9in, and a width of 5in. What is its volume, in cubic in?

Answers

Answer:

630 inches³

Step-by-step explanation:

According to the question ,

length:- 14 inchwidth :- 5 inchheight :- 9 inch

we have to find the volume of rectangular prism

Volume of rectangular prism :- l × b × h

Putting the value ,

14 × 5 × 9 cubic inches

= 630 cubic inches

Given:-

[tex]\rightarrow[/tex] Length(l) of prism = 14in.

[tex]\rightarrow[/tex] Width(w) of prism = 5in.

[tex]\rightarrow[/tex] Height(h) of prism = 9in.

To Find:-

[tex]\rightarrow[/tex] Volume of prism.

Formula Used:-

[tex]\rightarrow[/tex] Volume of rectangular prism = [tex]\sf{l×w×h}[/tex]

Solution:-

[tex]\rightarrow[/tex]Volume of prism = [tex]\sf{l×w×h}[/tex](putting the value of l, w and h from the above given)

[tex]\rightarrow[/tex] [tex]\sf{=\:14×5×9}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{= \: 630 in^3}[/tex]

Therefore, volume of the given prism [tex]\sf{= \: 630 in^3.}[/tex]

________________________________

Hope it helps you:)

Mr. Jacobsen is an electrical engineer. He earns 150,000 (GROSS) a year. He pays 20% income tax. How much income tax does he pay?

Answers

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 15000}}{\left( \cfrac{20}{100} \right)15000}\implies 30000[/tex]

What is the volume of this figure?

6004 in³

6624 in³

9936 in³

10,488 in³

Answers

The volume of the figure is the amount of space in the figure

The volume of the figure is 10488 cubic inches

How to determine the volume?

The figure is a composite figure, and it contains:

A rectangular prism A triangular prism

The volume (V1) of the rectangular prism is:

V1 = Length * Width * Height

V1 = 18 in * 23 in * 16 in

V1 = 6624 cubic inches

The volume (V2) of the triangular prism is:

V2 = 0.5 * Base * Width * Height

V2 = 0.5 * 23 in * 16 in * 21 in

V2 = 3864 cubic inches

Add the volumes of both figures

V =  V1 + V2

V = 6624 cubic inches + 3864 cubic inches

V = 10488 cubic inches

Hence, the volume of the figure is 10488 cubic inches

Read more about volumes at:

https://brainly.com/question/1972490

Answer:

The answer is D: 10488

Step-by-step explanation:

Find the perimeter.
Write your answer as a fraction or as a whole or mixed numbe
5 1 cm
10
5 cm
10
Bloc
5
cm
10
5 cm
10

Answers

Answer:

20 2/5 cm

Step-by-step explanation:

4 ( 5 1/10)

4 × 51/10

2×51/5

0.4x51

=20 2/5

Andrew has $550 in a savings account that earns 5% annually how much will she earn in interest in 4 years​

Answers

Answer:

110

Step-by-step explanation:

formula= P×T×R ÷ 100

550×4×5÷100

55×4×5÷10

1100÷10

$110

what is the 100th term in the sequence a¹= 222 and d= -5​

Answers

The 100th term of the sequence is -273

Arithmetic sequence

Arithmetic sequence is one derived from addition/subtraction of a constant term to find the next term. the constant term is usually called the common difference

first term a = 222

common difference, d = -5

nth term of an Arithmetic sequence. Tn = a + ( n - 1 ) d

T100 = a + ( 100 - 1 ) d

T100 = 222 + 99 * -5

T100 = -273

Read more on Arithmetic sequence here:

https://brainly.com/question/7882626

HELP!:

x^2 + 6x + 9 = ?

This is a factorizing question!! I need help, quickly!

Answers

Answer:

nasa pic yung answer

Step-by-step explanation:

hope its help

correct me if im wrong

Answer:

x=-3 x=-3

Step-by-step explanation:

You have the equation x^2+6x+9=0. So we are tying to find two terms that add to 6 but multiply to 9. Those numbers are 3 and 3. So now we have x^2+3x+3x+9=0. Then factor it to get (x+3) and (x+3) then to isolate x do x+3=0, x=-3 (move 3 to the other side to get x=-3).

48 ounce bag of granola each month how many pounds if granola does she eat each year



Answers

Answer:

12 months = 1 year

48 ounce bag of granola per month.

T = 48x

Where 'x' represents the months.

Replace x with 12, because we want to know how many ounces she eats each year.

T = 48x

T = 48(12)

T = 576 ounces, she eats each year.

WILL GIVE BRAINLIEST ANSWER.

A soda can holds 235.5 in^3 of liquid. If the can is 5 inches tall, what is the distance across the top of the soda can?

Answers

Answer:

7.744

Step-by-step explanation:

For this problem you have to work backwards

The equation for the volume is V = (area of circle) x height

So here, to solve the area of the circle, you need to divide the 235.5 by 5

So:

235.5 = (area of circle) x 5

Area of circle is 47.1

Then, you need to find the radius of the circle by using this equation for the area of a circle

[tex]A = \pi \cdot r^{2}[/tex]

So:

47.1 = π * [tex]r^{2}[/tex]

r = 3.872

This question is asking for the diameter, which is double the radius,

2 x 3.872 = 7.744

6x + 4 - 8x + 9(4 - x)
-

Answers

Answer:

6x - 8x + 4 + 36 - 9x

= 40 - 11x

6x + 4 - 8x + (9x4 - 9x)

6x + 4 - 8x + 36 - 9x
(6x - 8x -9x) + 36
-11x + 36

explain how you know whether or not the point (0.75, 0.25) is on the unit circle.

Answers

Answer:

The point (0.75, 0.25) is not on the unit circle.

Step-by-step explanation:

The unit circle has radius 1, so:

[tex] {.75}^{2} + {.25}^{2} = .5625 + .0625 = .625 [/tex]

Whats the equation of a circle with the center point of 1, -1 and a radius of. 5

Answers

Step-by-step explanation:

For this problem, we need to use the fact that the circle with center (h,k) and radius r is (x-h)^2 + (y-k)^2 = r^2.

This gives us that the equation of the circle is (x-1)^2 + (y-1)^2 = 25.

A bag contains 30 cookies: 9 vanilla, 9 chocolate, and 12 oatmeal. What is the probability that a chocolate is randomly selected

Answers

Answer:

30% for chocolate

Step-by-step explanation:

9÷30= 30% 0.3 vanilla

9÷30=30% 0.3 chocolate

12÷30=40% 0.4 oatmeal

The probability of choosing chocolate is 0.30.

What is the probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Number of total cookies = 30

Number of vanilla = 9

Number of chocolate = 9

Number of oatmeal = 12

The probability that chocolate is randomly selected is;

Probability of choosing a chocolate = Number of chocolate / Number of total cookies

Probability of chosen a chocolate = 9 / 30

Probability of chosen a chocolate = 3 / 10

Probability of chosen a chocolate = 0.30

Hence, the probability of choosing chocolate is 0.30.

To know more about probability click the link given below.

brainly.com/question/11234923

#SPJ4

Factor the expression 20x + 12y - 28

Answers

Answer:

[tex]\boxed{\sf{4(5x+3y-7)}}[/tex]

Step-by-step explanation:

It is necessary to find the factors and solve them using their expressions in order to solve this problem.

20x+12y-28

7*4=28

3*4=12

5*4=20

Rewrite the problem down.

5*4x+3*4y+7*4

Solve.

Common term of 4.

4(5x+3y-7)

Therefore, the final answer is 4(5x+3y-7).

I hope this helps you! Let me know if my answer is wrong or not.

hello!

[tex]========================================[/tex]

In order to factor this expression, we should factor out the common term (divide all terms in the polynomial by the common term)

In this case, the common term is

4

Note:- Usually, we factor out the G.C.F. (Greatest Common Factor)

So here, the G.C.F. is 4.

Why 4? Because in this trinomial (a polynomial with 3 terms) all 3 terms are divisible by 4.

So divide all the terms

5x

3y

-7

Put 4 outside the parentheses:

4(5x+3y-7)

Is the trinomial in its simplest form? Sure!

Hence, we are done! :)

[tex]================================[/tex]

note:-

Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer. :)

Type SSS, SAS, ASA, AAS, or HL to
justify why the TWO LARGER triangles are congruent.

m
BE = BC

Answers

Answer: AAS

Step-by-step explanation:

Pick the biggest number.
A0.193 B0.26 C0.6 D0.308

Answers

Answer:

Hello fellow Human! ^ω^

The answer is option D. 0.308

Step-by-step explanation:

We are going to Compare the digits starting with the greatest place value.

The Number 0.193 Is not the biggest number. However, 0.193 is bigger than 0.26 and 0.60.

The number 0.193 is smaller than the number 0.308.

Therefore, the answer is Option D. 0.308

Hope this helps!

Have an Awesome Friday!

maths grade 8 solution

Answers

Answer:

hope it helps

also try to find out what 5power 10 is because I have no calculator with me

Prove that cos⁻¹ (12/13) + sin⁻¹ (3/5) = sin⁻¹ (56/65)

Answers

Answer:

See below ↓

Step-by-step explanation:

We need to prove :

⇒ cos⁻¹ [tex]\frac{12}{13}[/tex] + sin⁻¹ [tex]\frac{3}{5}[/tex] = tan⁻¹ [tex]\frac{56}{65}[/tex]

Let's simplify the LHS.

cos⁻¹ [tex]\frac{12}{13}[/tex] + sin⁻¹ [tex]\frac{3}{5}[/tex]

Convert the inverse cos and sin functions into inverse tan functions

tan⁻¹ [tex]\frac{5}{12}[/tex] + tan⁻¹ [tex]\frac{3}{4}[/tex][∴This can be found taking a right triangle and labeling the sides,   and then using Pythagorean Theorem, we can find the missing side and take the ratio of tan]

Identity

tan⁻¹ x + tan⁻¹ y = tan⁻¹ [tex]\frac{x+y}{1-xy}[/tex]

Using this identity, we can simplify our earlier equation!

⇒ tan⁻¹ [(5/12 + 3/4)/(1 - (5/12 x 3/4))]

⇒ tan⁻¹ [(20 + 36) / (48 - 15)

tan⁻¹ (56/65)

⇒ RHS

Proved ∴√

[tex]\text{L.H.S}\\\\=\cos^{-1} \dfrac{12}{13} + \sin^{-1} \dfrac 35\\\\=\sin^{-1} \dfrac 5{13} + \sin^{-1} \dfrac 35\\\\[/tex]

[tex]=\sin^{-1}\left[\dfrac 5{13}\sqrt{1- \left(\dfrac 35 \right)^2} + \dfrac 35\sqrt{1-\left(\dfrac 5{13} \right)^2} \right]\\\\=\sin^{-1} \left(\dfrac 5{13} \sqrt{1-\dfrac 9{25} }+\dfrac 35 \sqrt{1-\dfrac{25}{169}} \right)\\\\=\sin^{-1} \left(\dfrac 5{13} \sqrt{\dfrac{16}{25}}+\dfrac 35 \sqrt{\dfrac{144}{169}} \right)\\\\=\sin^{-1} \left(\dfrac{5}{13} \cdot \dfrac 45 + \dfrac 35 \cdot \dfrac{12}{13} \right)\\[/tex]

[tex]=\sin^{-1} \left(\dfrac 4{13} +\dfrac{36}{65}\right)\\\\=\sin^{-1} \left(\dfrac{20}{65} + \dfrac{36}{65} \right)\\\\=\sin^{-1} \left(\dfrac{20+36}{65} \right)\\\\=\sin^{-1} \left(\dfrac{56}{65} \right)\\\\=\text{R.H.S}[/tex]

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