A certain company’s charges for tiling a rectangular room include the cost of the material used and a flat rate for installation. The length of a certain room is 2 feet more than its width, and the company’s charges, in dollars, for tiling the room are 12.5x(x+2) + 400.
Match each part of this expression with what it represents in this context.
Available Responses:
the width, in feet, of the room
the length, in feet, of the room
the area, in square feet, of the room
the cost, in dollars, for tile per square foot
the amount of materials needed to cover the room's floor
the flat rate, in dollars, the company charges for installation
12.5 represents ______
x(x+2) represents _______
400 represents _______

Answers

Answer 1

Answer:

12.5- the cost, in dollars, for tile per square foot

x(x+2)- the area, in square feet, of the room

400- the flat rate, in dollars, the company charges for installation

Answer 2

The length and width of the rectangular room is L = x feet , W = ( x + 2 ) feet

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangular room be A

Now , the length of the room L = x feet

And , length of a certain room is 2 feet more than its width

The width of the room W = ( x + 2 ) feet

The total charge for tiling the room C = 12.5 x ( x + 2 ) + 400

Now , the area of the rectangular room A = x ( x + 2 ) feet²

So , the width, in feet, of the room = ( x + 2 ) feet

The length, in feet, of the room = x feet

The area, in square feet, of the room = x ( x + 2 ) feet²

The cost, in dollars, for tile per square foot = $ 12.50

The amount of materials needed to cover the room's floor = 12.5 x ( x + 2 )

The flat rate, in dollars, the company charges for installation = $ 400

Hence , the expressions are solved and the area of rectangle is x ( x + 2 ) feet²

To learn more about area of rectangle click :

https://brainly.com/question/15225905

#SPJ3


Related Questions

what equation represents a line whose slope is 1/2 and whose y-intercept is 3

Answers

Answer:

y = 1/2x + 3

Step-by-step explanation:

anUm, y = mx + b format. M would be the slope, b is the y intercept. and obviosuly x and y are the x and y components :D

y=mx+b where m is the slope and b is the y intercept, m=1/2 and b=3

y=x/2+3 or more neatly

y=(x+6)/2

PLEASE HELP I ATTACHED A PICTURE

Answers

Answer:

option 2

Step-by-step explanation:

x is going away from 7 in a positive direction which means greater than. the fact that it is just greater than not equal to means that there is a black circle instead of a filled in one because it excludes that number.

Answer:

Option 2

Step-by-step explanation:

If the inequality is "x > 7" it means that if it was to be represented on a number line, all values that "c" could possibly take would be located to the right (on the number line) of 7. Now there only two options that follow this statement, those options are options 2 and 4. But there is another thing we must understand. x must be larger than 7 (it can not be equal to 7), therefor option 2 is right since it follows the second statement  while option 4 would represent inequality "x ≥ 7".      

Which shape never has four congruent sides?
A square
B rhombus
C parallelogram
D isosceles trapezoid

Answers

Answer:

D

Step-by-step explanation:

its not a parallelogram, so that is not possible

the rest are

i hope this helps!

Help ASAP being timed please.

Answers

Answer:

Its the third one

Step-by-step explanation:

Plot all of the points onto the graph, and draw a line through all of the points. It most closely resembles the third one

Simplify 2/4 please and thank you

Answers

Answer:

1/2

Step-by-step explanation:

2/4 is equal to 1/2, because if you divide 4 by 2 you get 2, and if you divide 2 by 2 you get one.

Basically, the simplification process would look something like this...

2/4 ÷ 2/2 = 1/2

Find the 59th term of the arithmetic sequence -8, -13, -18

Answers

Step-by-step explanation:

first term = a = -8

common difference = d = -13+8 = -5

59 th term = a + (59-1) d

= -8 + 58 (-5)

= -8 -290= -298

plz mark my answer as brainlist plzzzz.hope this will be helpful.

hi hi this was a great day i you had to go out for the

Paul's
house
5 miles
Clara's
house
12 miles
What is the shortest possible distance between the houses?

O A. 8.5 miles
B. 13 miles
C. 14.5 miles
OD. 17 miles

Answers

I’m geussing it would be A because it’s the smallest therefore probably the lowest distance

please help i am really struggling . i really dont get it thanks :)

Answers

Answer:

I=P-A          

___________________________

What is the midpoint of the segment with endpoints (4,1) and (-1,6)

Answers

Answer:

( 1.5 , 3.5 )

Step-by-step explanation:

Answer:

(3/2, 7/2)

Step-by-step explanation:

We find the mean (average) of 4 and -1, obtaining 3/2 by combining 4 and -1 and then dividing the result by 2.  Thus, the x-coordinate of the midpoint is xm = 3/2.

Similarly, we find the mean of 1 and 6, obtaining ym = 7/2.

Thus, the midpoint is (3/2, 7/2).

The distance from the ground to where the ladder is touching the wall is 7
feet. The distance from the wall to the base of the ladder is 4 feet. What is
the length of the ladder?
wall
ladder

Answers

Answer:

L=8.062 feet

Step-by-step explanation:

wall=7

distance=4

Pythagorean theorem

7^2+4^2=L^2

49+16=L^2

65=L^2

L=8.062 feet

The required length of the ladder is given as 8.06 feet.

What are Pythagorean triplets?  

In a right-angled triangle, its sides, such as hypotenuse, perpendicular, and base are Pythagorean triplets.

here,
As mentioned in the question,
perpendicular length = 7, base length = 4 feet,
Let the length of the ladder be x,
Following the Pythagoras theorem,
x² = 7 ² + 4²
x ² = 49 + 16
x² = 65
x = √65
x = 8.06

Thus, the required length of the ladder is given as 8.06 feet.

Learn  more about Pythagorean triplets here:

brainly.com/question/22160915

#SPJ2

Y intercept (3,1) and (-4,-6)?​

Answers

Answer:

y-intercept:  (0, -2)

Step-by-step explanation:

Determine by how much x (the run) and y (the rise) change as you go from (-4, -6) to (3, 1):  The change in x is 7 and that in y is also 7.  Thus, the slope is

m = 7/7, or m = 1.

Using the point-slope form and the point (3, 1), we get:

y - 1 = 1(x - 3), or y = 1 + x - 3, or y = x - 2

Comparing this to y = mx + b, we see that the y-intercept is -2.

WILL GIVE BRAINLIEST GIVE EXPLANATION

Answers

Answer:

5z+30

Step-by-step explanation:

5(z+6)

^ multiply each term in the parentheses by 5

5z+5x6

then,

5z+5x6 (multiply the numbers)

the answer will be 5z+30

For what value of x is the rational expression below equal to zero?
X- 4/X-6

Answers

When x equals to 4

4-4 = 0
-------------
4-6 = -2

0/-2 = 0

hope this helps

Three robots go out to lunch. They decide
to share the $11.91 bill evenly. How much
does each robot pay? WHATS the equation???

Answers

$3.97 each robot has to pay and i don’t 11.91 divided by 3

calcule:(-2)⁰+(-2)¹+(-2)²+(-2)³

por favor​

Answers

Answer:

-5

Step-by-step explanation:

1. You can buy six cans of root beer for $2.50. How many cans of root beer
can you buy for $10? What proportions will work to solve this problem?

Answers

Answer

24 cans

Step by Step explanation

10$ / 2.5$ = 4

6 * 4  = 24

Tomas buys a bag of 5 peaches for $3.55.
Write and solve an equation to find how
much money, m, Tomas paid for each peach-

Answers

Answer: 3.55÷5=m  3.55÷5=0.71 so Tomas paid $0.71 per peach

Step-by-step explanation:

Someone pls help me i dont wanna fail.

Answers

Top left : Unlike the others it is not displayed in a numerical form.
Bottom Left : It is the only item that goes above 1/100%.

144 like exponent and with 12 like base

Answers

Answer:

That is not a question, Brainly is an educational app and I suggest you use it that way.

The enrollment of students in evening classes at a local university decreased by 6% between two recent years. If the total number of students attending evening classes in both years was 13,925 , find how many students enrolled in evening classes in each of the years.

Answers

Answer:

First year: 13925; Second year: 13090

The sum of two numbers is 20.8 and their difference os 10.2. Find these numbers.

Answers

Answer:

the numbers are 10.6 and 10.2

What is the volume of this cone?
Use a ~ 3.14 and round your answer to the nearest hundredth.
7 in
5 in
cubic inches

Answers

Answer:

Volume = 183.26 cubic inches

Step-by-step explanation:

Volume of cone = ⅓πr²h

Where,

r = 5 in.

h = 7 in.

Plug in the values into the formula

Volume = ⅓*π*5²*7

Volume = 183.26 cubic inches (nearest hundredth)

4. Which situation could be represented by the equation 10.75 = 5.5 n?


Ricardo ran 5.5 miles.


He ran each mile in 10.75 minutes.


What is n, the total number of minutes it took Ricardo to run 5.5


miles?


Ricardo ran a totalof 10.75 miles on Monday.


He ran 5.5 miles in the morning and the rest of the miles in the


evening.


What is n, the number of miles Ricardo ran in the evening?


Ricardo ran a total of 10.75 miles.


He ran 5.5 miles each hour.


What is n, the number of hours Ricardo ran?


Ricardo ran 10.75 hours one week and 5.5 hours the next week.


What is n, the total number of hours Ricardo ran during these


weeks?

Answers

Answer:

Ricardo ran a total of 10.75 miles on Monday.

[tex]n =1.95[/tex]

Step-by-step explanation:

Given

[tex]10.75 = 5.5n[/tex]

Required

Which situation represents the equation and solve for n

The options show the relationship between distance, time and speed.

This is calculated as:

[tex]Distance = Speed * Time[/tex]

By comparison:

[tex]Distance = 10.75[/tex]

[tex]Speed = 5.5[/tex]

[tex]Time = n[/tex]

So, we can say that:

He ran 10.75 miles (option D)

Solving for n:

Make n the subject in [tex]10.75 = 5.5n[/tex]

[tex]\frac{10.75}{5.5} = n[/tex]

[tex]n = \frac{10.75}{5.5}[/tex]

[tex]n =1.95[/tex]

Question 5 of 6
Use the guess and check method to solve this problem.
Bunyan Farm sells 3 pound and 5 pound bags of onions. The Tuesday
morning delivery consists of 25 bags weighing 99 pounds. How many bags
are there of each size?
A. 12 small bags and 13 large bags
B. 13 small bags and 12 large bags
C. 15 small bags and 10 large bags
D. 14 small bags and 11 large bags

Answers

Answer:

B. 13 small bags and 12 large bags

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of small bags.

y is the number of large bags.

The Tuesday morning delivery consists of 25 bags

This means that [tex]x + y = 25[/tex], that is [tex]y = 25 - x[/tex]

Bunyan Farm sells 3 pound and 5 pound bags of onions. Total of 99 pounds.

This means that [tex]3x + 5y = 99[/tex]

Since [tex]y = 25 - x[/tex]

[tex]3x + 5(25 - x) = 99[/tex]

[tex]3x + 125 - 5x = 99[/tex]

[tex]-2x = -26[/tex]

[tex]2x = 26[/tex]

[tex]x = \frac{26}{2}[/tex]

[tex]x = 13[/tex]

[tex]y = 25 - x = 25 - 13 = 12[/tex]

So 13 small bags and 12 large bags.

12. Remy took out a home-improvement loan to
pay for new kitchen cabinets. The loan was
for $10,000 at an annual interest rate of 5.6%.
Remy paid off the loan in 36 months.
She paid $ Drop-down in all
A. 10.680.00
B. 11,680.00
C. 12,016.00
D. 12,760.00

Answers

Answer:

Step-by-step explanation:

A=P(1+rt)

A=10000(1+.056(3))

A=10000(1.168)

A=$11680

Remy took the loan for [tex]\$10,000[/tex] at an annual interest rate of [tex]5.6\%[/tex] and paid off the loan in [tex]36[/tex] months. She paid [tex]\$11680[/tex] Drop-down in all.

What is interest ?

Interest is the charge you pay when you borrow money from someone or the cost you charge to lend money to someone.

Simple Interest [tex]=\frac{Principal \ * \ Rate \ * \ Time}{100}[/tex]

We have,

Principal[tex]=\$10,000[/tex],

Interest rate [tex]=5.6\%[/tex]

Time[tex]=36[/tex] months [tex]=3 years[/tex]

So,

Interest [tex]=\frac{Principal \ * \ Rate \ * \ Time}{100}[/tex]

              [tex]=\frac{10,000*5.6*3}{100}[/tex]

Interest [tex]= 1680[/tex]

So,

Total amount to be paid [tex]=( 10,000+1680)=\$11680[/tex]

So, the loan for [tex]\$10,000[/tex] at an annual interest rate of [tex]5.6\%[/tex] and time of [tex]36[/tex] months be paid [tex]\$11680[/tex] Drop-down in all.

To know more about interest click here

https://brainly.com/question/24116913

#SPJ2

how many quarts are in a gallon ​

Answers

Answer:

4

Step-by-step explanation:

1 US liquid gallon = 4 US liquid quarts

Answer:

1 gallon = 4 quarts

Step-by-step explanation:

I will give brainliest!!!

Answers

Answer:

In between 4 and 6

Step-by-step explanation:

Since there are 2 negative signs it automatically goes to positive so u would go to positive 5, which is in-between 4 and 6!

Hope this helps!! :D

The math team went to lunch to celebrate Ms. Renft's birthday on February 11th. The
cost of the meal with tax was $148. 60. The math team left a 15% tip. What was the
total cost of the meal including tip?

Answers

Answer:

$171.12

Step-by-step explanation:

Including the tip and cost, it is 171.12. Multiply 148.6 by 1.15, which includes the total cost plus another 15% for the tip.

It takes me 20 minutes to grade a students quit. how long in hours does it take me to grade 20

Answers

Answer:

400

Step-by-step explanation:

20 times 20

400 as explained above

PLEASE PLEASE HELP !!

Answers

answer: K and O would both be 76°
Other Questions
Item 25Thompson Family Assets and LiabilitiesAssets Value Liabilities ValueChecking and Savings $1,520 Auto Loan $5,238Automobile $9,250 Credit Cards $580House Value $112,340 Mortgage $78,570Furniture,etc. $12,800 Other Loans $13,780What are the Thompson family's total assets?$13,345$135,910$140,291$145,782 A cook grabs the handle of the frying pan and their hand gets very warm. The cook's hand gets very warm because of?a. conductionb.radiationc.convetion Solve the following systems of equations by any method.1. 2y - 4 = 0 x + 2y = 5 Everyday the Norton Family restaurant serves 5/6 of a bottle is soda to their customers for how many days will 2 1/2 bottles of soda last ? Help!! Which of the following is a contribution to government made by the Judeo-Christian influence? Which set of angles can form a triangle? Elephants are the largest land animals alive today. They are the only mammalsto have four knees. Evidence of extinct wooly mammoths show that they sharedthe trait of having four knees, but they were not African or Asian elephants. Howcould the mammoths and elephants share this characteristic? A. Today's elephants are clones of the woolly mammoths.B. Elephants and woolly mammoths had a common ancestor.C. Today's elephants have adapted to look like woolly mammoths.D. Woolly mammoths are one of the three species of today's elephants. On January 1, 2017, Waterway Co. enters into a contract to sell a customer a wiring base and shelving unit that sits on the base in exchange for $3,300. The contract requires delivery of the base first but states that payment for the base will not be made until the shelving unit is delivered. Waterway identifies two performance obligations and allocates $1,320 of the transaction price to the wiring base and the remainder to the shelving unit. The cost of the wiring base is $670; the shelves have a cost of $300. Required:a. Prepare the journal entry on January 1, 2017, for Waterway b. Prepare the journal entry on February 5, 2017, for Waterway when the wiring base is delivered to the customer. c. Prepare the journal entry on February 25, 2017, for Waterway when the shelving unit is delivered to the customer and Waterway receives full payment. Help plzIn the course of natural selection, best adapted organismstend to______and therefore produce ______offspring.A: die off, manyB: overproduce, abnormalC: survive, moreD: die off, fewJUST THE LETTER CHOICE Can the type of light make a difference in photosynthesis? That timber cat walks over and sits down in the fire. Just like the other cats did it. And he picks up this live coal. And he puts it right on his slanted, green eyes. He dusts his eyeballs with it! And he turns around to the other cats sittin on each side of John. The timber cat says to the other cats, says, showin his teeth, "What you want to do with him there?" And looks straight dead at John, too. And the other cats say right back all in one meow, "We better wait till Martin comes." With that, John gives a great heave up. The chair comes up with him. But at least he was up. And he runs out the wide-open front door. He's callin as he goes out flyin, "Mister Cats! You tell Martin I was here, but I couldn't wait on him. And now I'm gone!" And he was. Long gone. And never seen in that county since. Better Wait Till Martin Comes, Virginia Hamilton Use the drop-down menus to identify how the reader's emotions change during the story. The reader feels during the story when each new cat is bigger than the last one. The reader feels when Martin speaks and runs out the door with a chair stuck to his backside. Read the source and answer the questions."In 1085, William warranted an extensive survey to be carried out, similar to a census by a government of today. His royal officers held a public inquiry into the value of all homes and what they owned, and recorded all their data into what is known as the Domesday Book, which itself was divided into two parts - Little Domesday and Great Domesday. Surprisingly, it was prepared in the space of one year and was completed in 1086. The Domesday Book is a statistical document and was used as an administrative tool, a basis for more decisive taxation of William's new realm and to fund his warfare. It involved the first kingdom-wide poll taken in Europe since the Roman era." Based on your knowledge of history, the events described above are a direct result of which of the following?A. The inquisitionB. The Manorial SystemC. The Norman InvasionD. The Crusades(This is a test question PLEASE HELP ME!) how does increased physical activity help prevent weight gain, please include atp, energy, cellular respiration, co2 and h2o Please help Ill give you brainiest!!!!!??!!Thanks!! Annie was earning $12.50 per hour at her job. She recently received a 10% raise. She has also decided she will put 1/5 of her new salary in savings. If Annie worked 40 hours in one week, how much is she putting into savings each week? There will be 6 people at Eli's cake party. She wants to bake enough cake so that each person she feeds eat at least 1/5 of the cake. What is the minimum number of cakes you should bake? The problem is as follows:What is the perimeter of this shape? 14 3/512 4/510 2/510 2/58 1/24 1/2First I changed all the denominators to 20, as thats the LCM of all these fractions. Then I added like normal and came up with this answer:58 71/20Then I simplified and got 58 9/10My test says that this is incorrect and that the whole number is actually 61 and the fractional part is actually something else. What did I do wrong when figuring out this problem? Thanks for the help. How does the diagram titled drone obstacle course help you better understand drone racing? each side of a triangle is nine inches long. find the perimeter Can someone help me please ??