The length of a rectangular floor is 4 feet longer than its width w. The area of the floor is 525 ft^2. A) Write a quadratic equation in terms of w that represents the situation. B) What are the dimensions of the floor? Show your work.​

Answers

Answer 1

Answer:

w² + 4w - 525 = 0

Width of rectangle = 21 feet

Length of rectangle = 25 feet

Step-by-step explanation:

Given:

Area of rectangular floor = 525 ft²

Find:

Equation

Dimensions of the floor

Computation:

Assume;

Width of rectangle = w feet

So,

Length of rectangle = w + 4 feet

Area of rectangular floor = length x width

Area of rectangular floor = w(w + 4)

525 = w² + 4w

w² + 4w - 525 = 0

w² + (25 - 21)w - 525 = 0

w² + 25w - 21w - 525 = 0

w(w + 25) -21(w + 25)

(w + 25)(w - 21)

So,

w = -25 , w = 21

So,

Width of rectangle = 21 feet

Length of rectangle = w + 4 feet

Length of rectangle = 21 + 4 feet

Length of rectangle = 25 feet


Related Questions

The number of students that participated in sports last year was 100. This year there are 140 students participating in sports. What is the percent of increase in the number of students participating in sports from last year to this year? __________%

Answers

Answer: 40%

Step-by-step explanation:

HOPE THIS HELPS ^^

True or false? if Matrix A is 3 X 2 and matrix B is 2 X 17 matrix, you can do A X B

A. True
B. False

Answers

What he said on the top

Find the measure of the arc or angle indicated.
Find the meausre of arc HG.

Answers

Answer:

the measure of arc HG is 136

50 points and brainliest!
Solve for x: 3a-b/x-b=1/x+1, if a≠b+1/3
(a picture will be provided as well)

Answers

Answer:

3a-b/(x-b)=1/(x+1)Doing criss cross multiplication

3a(x+1)-b(x+1)=x-b

3ax+3a-bx-b=x-b

3ax-bx-x=b-3a-b

x(3a-b-1)=-3a

x=3a/(3a-b-1)

Which pair of expressions are equivalent?


27x + 45y and 7(9x + 7y)

2x + 18y and 2(x + 9y)


2(15x + y) and 30x + 15y


10(4x + 5y) and 20x + 10y

Answers

Answer:

second one

Step-by-step explanation:

Because when you try to remove the brackets then you should multiply coefficient of x and coefficient of y by 2

So it will be 2x+18y

2*9=18

What is the median of 2,1,2,5,3

Answers

Answer:

2

Step-by-step explanation:

Rearrange the data set in numerical order: 1, 2, 2, 3, 5 and take the number in the middle.

Can someone help me solve this one step equation

Answers

Answer:

b = -108

Step-by-step explanation:

Step-by-step explanation:

Given

[tex] - 6 = \frac{b}{18} \\ cross \: multiply \\ b = - 6 \times 18 \\ b = - 108[/tex]

Hope it will help :)❤

Which equation below allows you to solve 2x2 - 15 = x Using the zero-product property?​

Answers

Answer:

A is the correct answer .

Step-by-step explanation:

Hope this helps .

The equation that allows you to solve the given equation is (x-3)(2x+5).

What is a quadratic equation?

Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where a is non-zero.

The given quadratic equation is:

[tex]2x^{2} -15=x[/tex]

[tex]2x^{2} -x-15=0[/tex]

[tex]2x^{2} -6x+5x-15=0[/tex]

[tex]2x(x-3)+5(x-3)=0[/tex]

[tex](x-3)(2x+5)=0[/tex].......(1)

So, the required equation is equation(1).

Hence, the equation that allows you to solve the given equation is (x-3)(2x+5).

To get more about quadratic equations visit:

https://brainly.com/question/1214333

PLEASE ANSWER ASAP DUE IN 2 MIN WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!
PLEASE ONLY ANSWER PART B

Answers

Answer:

because cfd eaquls a+b lllllllllll

Answer:

Step-by-step explanation:

IT is either the same as 7x+4 because it is infront of each other or you add 8x+6 and 6x+2 then you substract that from 180 to find out the remaining angle. Of course you have to subtitute the amount of x first.

repersent 3 and 1/3 on a number line​

Answers

Answer:

Step-by-step explanation:

To address 1/3 on a number line, we split the hole among O and An into 3 equivalent parts. Leave T and Q alone the marks of division. At that point, T addresses 1/3 and Q addresses 2/3, since 2/3 methods 2 sections out of 3 equivalent parts as demonstrated beneath. By utilizing a similar system, point O addresses 0/3 and point An addresses 3/3.

Another way of saying it is:

In portrayals of divisions on a number line we can show parts on a number line. To address 1/2 on the number line, draw the number line and imprint a direct A toward address 1.  

Presently, split the hole among O and An into halves. Leave T alone the mark of division. At that point, point T addresses 1/2.  

Portrayals of Fractions on a Number Line  

To address 1/3 on a number line, we split the hole among O and An into 3 equivalent parts. Leave T and Q alone the marks of division. At that point, T addresses 1/3 and Q addresses 2/3, since 2/3 methods 2 sections out of 3 equivalent parts as demonstrated underneath.  

Portions on a Number Line  

By utilizing a similar technique, point O addresses 0/3 and point An addresses 3/3

brainliest?

2. Find the length of a side of a square if its area is:
a. 81 square inches
b. cm
c. 0.49 square units
d. m² square units

Answers

Answer:

9 inches ; 0.7 units ; m units

Step-by-step explanation:

The area of a square is give as :

The square of the side length of the square ; that is ;

Area of square = s² ;

Where s =! Side length of the square

Hence ;

A square with area = 81 in²

Length of its side = sqrt(81) = 9 inches

Area of square = 0.49 unit²

Length of its side = sqrt(0.49) = 0.7 units

Area of square = m² unit²

Length of its side = sqrt(m²) = m units

The daily cost, in dollars, to produce
x
gallons of handmade ice cream is
C
(
x
)
=
x
+
11
. The price-demand function, in dollars per gallon, is
p
(
x
)
=

0.15
x
+
20.8

Find the daily profit function.
Find the maximum daily profit. any gallons of ice cream need to be sold each day to maximize the profit.
Find the price to charge per gallon to maximize profit

Answers

9514 1404 393

Answer:

f(x) = -0.15x^2 +19.8x -11 . . . profit function$642.40 maximum daily profit66 gallons sold$10.90 per gallon

Step-by-step explanation:

Given:

  daily cost function c(x) = x +11

  price-demand function p(x) = -0.15x +20.8

Find:

  daily profit function

  maximum daily profit

  quantity sold for maximum profit

  price for maximum profit

Solution:

The revenue is the product of price and demand:

  x·p(x) = -0.15x^2 +20.8x

The profit is the difference between revenue and cost:

  f(x) = x·p(x) -c(x) = -0.15x^2 +20.8x -x -11

  f(x) = -0.15x^2 +19.8x -11 . . . . . daily profit function

__

The maximum profit will be had a the vertex of the curve, found where ...

  x = -(19.8)/(2(-0.15)) = 66

  f(66) = (-0.15·66 +19.8)66 -11 = 9.9·66 -11 = 642.40

The maximum profit is $642.40, when 66 gallons of ice cream are sold.

__

The price that will result in demand of 66 gallons of ice cream is ...

  p(66) = -0.15(66) +20.8 = 10.9

The price to charge per gallon to maximize profit is $10.90.

Reuben will rent a car for the weekend. he can choose one of two plans. the first has no initial fee but costs $0.90 per mile driven. The second plan has an initial fee of $65 and costs an additional $0.70 per mile driven. How many miles would Reuben need to drive for the two plans to cost the same? ​

Answers

Answer:

80 miles for the .9 one.

Step-by-step explanation:

helpp:)))) PLS
Answer the following using >, <, or =. | − 4| ______ |4|

A: <
B: >
C: =

Answers

Answer:

=

Step-by-step explanation:

Because |-4| is basically 4 since its the absolute value of that..

Use the spinner to find the theoretical probability of the event. Write your answer as a fraction or a percent rounded to the nearest tenth.
The theoretical probability of spinning a 1 is


PLEASE HELP ME!!!

Answers

1/6 I really don’t know if it’s right

Use the distributive property to write the next step in simplifying the equation.
Use the asterisk symbol ( * ) to represent multiplication. Do not multiply
factors fully and do not use spaces.
-1(3 + x) = 27

Answers

Answer:

-1*3-1*x=27

Step-by-step explanation:

The graph below shows the solution set of which inequality ?? HELP FASTTT

Answers

Answer:

A.

The graph shows the solution set of the equality √x < -1

(No Solutions)

Look at the image for the question:

Answers

9514 1404 393

Answer:

  te, tm, (m-e), t

Step-by-step explanation:

The problem statement tells you how to interpret the expressions and their parts.

Swap the top two expressions on the right and the list will be in the appropriate order:

tetmm-et

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer:

<5,2>

Step-by-step explanation:

Annette had a 24 karat gold necklace with a mass of 2.3grams. she sold for $123.51.What was the price per gram of her necklace?

Answers

Answer:

$53.70 per gram

Step-by-step explanation:

Just divide the price (123.51) by the amount of grams (2.3) to get your answer, which should be $53.70 per gram

Hopefully this helps - let me know if you have any questions!

NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ

Answers

Answer:

D

Step-by-step explanation:

They are trying to see how long it takes people to complete the writing portion of the test.

someon help me answer this!!

Answers

Answer:

12.0 units is the answer

Step-by-step explanation:

Pythagorean theorem can be written as,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(6-(-2))^2 + (1-(-8))^2}\\\\d=\sqrt{(8\\)^2+(9)^2} \\\\d=\sqrt{64+81} \\\\d=\sqrt{145} \\\\d=12.041...[/tex]

Rounding off,

d = 12.0 units

Mendeleev was the first to organise elements based on their similarities *
True
False

Answers

Answer: True

Step-by-step explanation:

If Cody has 11 dimes and quarters in his pocket, and they have a combined value of 170 cents, how many of each coin does he have?

Answers

Answer:

12 dimes and 2 quarters

Step-by-step explanation:

12 dimes is 120 cents and 2 quarters is 50 cents that perfectly gives us 170 cents. As worded if he has 11 Dimes and the rest is quarters and we want 170 cents then it's impossible. 11 dimes is going to be 110 cents plus 2 quarters is 160 cents or plus 3 quarters is going to be 185 cents. therefore you are either short or over the money.

Find the missing side length.
AJKL ~ AGKH

Answers

The answer should be 15

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

I believe it's 4 as 32 fluid ounces is 1 quart

Answer:

ok so you said 40 points but theres only 5 points....xD anyways,

we know that 4 would be as 32 fluid ounces.

that would equal 1 quart.

hope this helps! best of luck!!!!

Callie's and jordan's families were driving to their family reunion in Marshall. Callie's family traveled from Ontario to Marshall. Jordan's family traveled from lucerne to Marshall.haw many more miles did one family drive than the other?
A.41.9 miles
B.423.4 miles
C.465.3
D.888.7​

Answers

Answer:

it's 423.4 miles

Step-by-step explanation:

sotry for taking a while I didn't get your notification

Which type of parent function does the equation f (x) = a represent?

Answers

Parent functions are the base function of a family function. [tex]f(x) = \sqrt x[/tex] is the parent function of the square root function

Given that:

[tex]f(x) = \sqrt x[/tex]

The parent function of a cube root function is:

[tex]f(x) = x^3[/tex]

The parent function of a reciprocal function is:

[tex]f(x) = \frac 1x[/tex]

The parent function of an absolute function is:

[tex]f(x) = |x|[/tex]

The parent function of a square root function is:

[tex]f(x) = \sqrt x[/tex]

By comparing the above parent functions to [tex]f(x) = \sqrt x[/tex], we can conclude that [tex]f(x) = \sqrt x[/tex] is the parent function of a square root function.

Hence, (d) is true

Read more about parent functions at:

https://brainly.com/question/17939507

ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !

Answers

Answer:

864 inches cubed

Step-by-step explanation:

Since the volume is the 3 units multiplied together, 16 x 9 x 6 is 864.

look at pic 10 pts will mark brainilest

Answers

Answer:

The Answer is C

Step-by-step explanation:

2.00/5= C

can i have brainlist please :)

Other Questions
Multiply (2-5i)(2+5i) What amount of money invested today at 3.63% compounded annually will have an accumulated value of $650,000 in 8 years from now. Round all answers to two decimal places if necessary. PAY = CY = N= 1/4 = % PV = $ PMT = $ FV = $ The particles of a substance lose energy and change froma disordered structure with large distances between the particles toa loosely ordered state.Which change of state is described? The circumference of a circle is 106.76 yards. What is the circle's radius? What is the equation of the line that is the perpendicular bisector of the segmentwith (10,-15) and (-10, 25) as endpoints?y= kx + 10y= kx + 5y= -x + 10y = 2x + 5 5. Match the Rows and Columns *Food WebAlleleFrequencyPyramid ofNumbersCharcteristcsRosalindFranklinAbundance ofPlants/FreshwaterShrimpOOOGeneFrequencyOOOOOX-rayDiffractionOOOOOFoodChainOOTraitsOOOOOHelppppp The solo instrument featured at the end of this clip is... Blacks and the Meaning of FreedomA. Freedom to Black people meant escaping the lashes, punishments; andbasically rights that white men also hadB. They began to hold mass meetings, own guns, liquor, etc Compound X has molecular formula C5H10. In the presence of a metal catalyst, compound X reacts with one equivalent of molecular hydrogen to yield 2-methylbutane.a. Suggest three possible structures for compound X.b. Hydroboration-oxidation of compound X yields a product with no chirality centers. Identify the structure of compound X. Chris borrowed $2,000 from the bank. The interest rate was 3.5% for 5 years. How much does he owe the bank? What is the medium of the wave shown in the photograph?A. The waterB. Kinetic energyC. The duckD. Gravity How many outcomes are possible in this control structure?foreverifis A button pressed thenset background image toelseset background image to In a heat engine, 500 J of heat enters the system, and the piston does 300 J of work. What is the final internal (thermal) energy of the system if the initial energy is 1500 J? 200 J 800 J 1300 J 1700 J If y is 19 times x, which equation shows the relationship between x and 7?A. X = 19yB. Y = 19xC. Y = 19 + xD. X = 19 + y how might the machine operators react to the 'future state' value stream? Which figure (amount) should be larger?A. ExpensesB. incomeC. ExtrasD. Needs The point where total expenses equals total income Well mark brainliest!!Which is more important: earning money or being available for family? essay To cheracterize the relationship between the response variable y and i covariates of interest, the following multiple linear regression model is used to fit the observed data: y=X3+ hyl Ble, B-, Bc. where y denotes the nx 1 response vector, 3 represents the px 1 parameter vector consisting of p=k+1 regression coefficients Bo, 31, 32,k, and e denotes the nx 1 vector of error terms. Assume that the model matrix X is an n x p full-column-rank matrix, and the entries of the first column of X are all equal to 1. In addition, assume that the error terms are independent and identically distributed normal random variables, that is, 12N (0,0). Letz, denote the ith column of X. Suppose that a, sa for every i, where a represents a positive constant. Show that Var and the equality would be attained if XX aI, where 8, represents the ith entry of the least square estimator 3. Please help me with all three. 100 brainly pointsWILL MARK BRAINLIEST!