The length of a rectangular window is 4 more feet than its width w. The perimeter of the window is 64 feet. Write an equation that could be used to find the demensions of the window and determine the length and width of the window.

Answers

Answer 1

Answer:

The length of the window is 18 ft and its height is 14 ft

Step-by-step explanation:

System of Equations

Let's call:

L: Length of the window in feet

W: Width of the window in feet

According to the first condition of the problem:

[tex]L = W + 4\qquad\qquad [1][/tex]

The perimeter of the rectangle is 64 feet. The perimeter is calculated as:

P = 2L + 2W =64

Dividing by 2:

[tex]L + W = 32\qquad\qquad [2][/tex]

The system of equations [1] and [2] can be used to find the dimension of the window.

Substituting from [1]

W + 4 + W = 32

Simplifying:

2W = 32 - 4 =28

Solving:

W = 28/2 = 14

Using [1]:

L = 14 + 4 = 18

The length of the window is 18 ft and its height is 14 ft


Related Questions

Carlos saves 18% of his salary every month Last month he saved $63. How much money did Carlos make last month?

Answers

Answer:

$74.34

Step-by-step explanation:

Because $63 + 18% = $74.34

how many solutions does 12x + 1 = 12x - 10

Answers

Answer:

No solutions

Step-by-step explanation:

First things first we need to get rid of the variables so we subtract -12x from one side to the other.

Now we have 1= -10

In this case, 1 is not equal to -10 so we get no solutions!

(Side note: if they were the same like 3=3 that would be all solutions.)

Monday at 10:10
When looking at this image, please answer all 3 parts (a,b,c).

Write down the letter of the symbols have Reflectional symmetry.
Write down the letter of the symbols have symmetry by Translation.
Write down the letter of the symbols have Rotational symmetry.

Answers

Answer:

see below

Step-by-step explanation:

1.  letter of the symbols have Reflectional symmetry.

A, B, C, G, I, L

2.  letter of the symbols have symmetry by Translation.

A, B, C, D, E, F, G, H, I, J, K, L

3.  letter of the symbols have Rotational symmetry.

C, D, L

F^12 x f^12=f to the power of what

Answers

Answer:

[tex]f^{24}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] , thus

[tex]f^{12}[/tex] × [tex]f^{12}[/tex] = [tex]f^{(12+12)}[/tex] = [tex]f^{24}[/tex]

Lisa wants to arrange the numbers below in order from LEAST to GREATEST. 1/5, -0.3, 0.01,-1/-4 Which of these represents her list?

Answers

Least to Greatest

-0.3, 0.01, 1/5, -1/-4

Answer:-.3 , .01 , 1/5 , -1/-4

Step-by-step explanation:

Two bikers rode at a constant speed on a 150-meter track. The data here show each biker’s distance for a certain part of the race. Who won the race and by how much?

Student 1

A 2-column table with 4 rows. Column 1 is labeled Time (seconds) with entries 4, 6, 8, 10. Column 2 is labeled Distance (meters) with entries 40, 60, 80, 100.


won the race by about
.

Student 2

A graph has time (seconds) on the x-axis and Distance (meters) on the y-axis. Points are at (4, 42), (6, 63), (8, 84) and (10, 105).

Answers

Answer:student 2

1 second

Step-by-step explanation:

i took the test

Answer:

student 2 ..... 1 second

Step-by-step explanation:

i did the assignment on edg2020

PLEASE ANSWER IMMEDIATELY, I'LL GIVE BRAINLIEST AND POINTS!!

Answers

Answer:

8000

Step-by-step explanation:

8000

10^6-2*7.2/9

72000/9 = 8000

What is the solution to |x + 2| 3 or x -1 or x < -3

Answers

Answer:

x<-3

Step-by-step explanation:

if you have a pizza that has 24 slices and your friend eats 1/8 of it and you eat 1/3 how much is left

Answers

Answer:

13 slices

Step-by-step explanation:

The pizza has 24 slices. To figure out what 1/8 of 24 is, divide 24 by 8. To figure out what 1/3 of 24 is, divide 24 by 3. 1/8 of 24 is 3, and 1/3 of 24 is 8.

3 + 8 = 11 (number of slices eaten)

24 - 11 = 13 (number of slices left)

The diameter of a pinhead is 0.000004 mm. What is this number,
without units, in scientific notation?

Answers

Answer:

4*10^-6

Step-by-step explanation:

Ahmed is riding the elevator in a building. The building has floors above and below ground level. Ahmed uses the expression below to describe his movement.

6 + (negative 8)

Answers

Answer:

Ahmed moved 6 floors up, then moved 8 floors down. Because of that he is now 2 floors below ground level.

Step-by-step explanation:

Hey there!

8 - 6 = 2

~I hope I helped you! :)~

A twons populations is 43,425. About 125 people move out of the town each month, 200 people on the average move into town. A nearby town has population of 45,000. it has no one moving in and an average of 150 people moving away every month. In about how many months will the population of the towns be equal? Write an equation that represents this situation and solve.

Answers

Answer:

After 7 months months the population of both the town will be equal.

Step-by-step explanation:

Let's assume, the population of both towns will be equal after x number of months.

Every month 125 people move out of the town and 200 people move into the town, where already 43,425 people are living. So, the population of the former town after x months is,

Every month 150 people move out of the town, where already 45,000 people are living. So, the population of the latter town after x months is,

when the population of both of the towns are same,then

Please help! I will give Brainliest! I don't want to fail! (Two questions)

Answers

Answer:

The tip is $7,00 and the equation is C = 13.77p

Step-by-step explanation:

46.95 x 1.15=53.9925

= ans-46.95 = 7.04

or

46.95/100

= ans x 15 = 7.04

What is the answer

45w + 123.95 = 753.95

Answers

subtract 123.95 from both sides

45w = -630

divide both sides by 45

w = -14

ANSWER FOR BRAINIEST
(15 points)

Answers

Answer:

y=5.5x-52

Step-by-step explanation:

lmk if you want me to explain

Find the sum of 4x^(2)+x-4) and (2x^(2)-6x+2)3/5 - ( -1/2)

Answers

Answer:

4x^(2)+x-4 = 0

(2x^(2)-6x+2)3/5 - ( -1/2) = 9

Step-by-step explanation:

Which is the right answer?

Answers

Answer:

Most likely B.

Step-by-step explanation:

A. When being compared to each other, they're not alternate interior angles.

B. I think so...?

C. Angle 3 is the only interior angle.

D. Pretty sure that they have to be on the same line to count as "supplementary".  

So if you start at the 8th floor then down 10 floors what dose that mean!!!!!!!​

Answers

You would be 2 floors under, like in the basement

Answer:

-2 or basement

Step-by-step explanation:

there maybe a basement on the building

Why all integers are not whole numbers?

Answers

Answer:

Integers  -4, -3, -2, -1, 0, 1, 2, 3, 4… all the whole numbers and their opposites (the positive whole numbers, the negative whole numbers, and zero). Fractions and decimals are not integers. For example, -5 is an integer but not a whole number or a natural number.

PLEASEEE HELP On a coordinate plane, the vertices of triangle ABC are A(−3, 1), B(6, 4), C(2, 5). The vertices are translated 4 units to the right and down 3 units.
1. Write a rule, P(x, y) → P'(x + a, y + b), that represents the translation.

2. What are the coordinates after the translation?

Answers

Answer:

A (1,-2) B(10,1) C(6,2)

Step-by-step explanation:

You add 4 to the x value and subtract 3 from the y value to get the answer.

The coordinates of the vertices after the translation are A'(1, -2), B'(10, 1), and C'(6, 2).

How to calculate the coordinates?

To represent the given translation, we need to add the same constant amount to the x-coordinate of each vertex and subtract the same constant amount from the y-coordinate of each vertex.

Let's call the constants of translation "a" and "b", respectively. Then the rule P(x, y) → P'(x + a, y - b) represents the translation of a figure where P is any point in the original figure and P' is the corresponding point in the translated figure.

To find the coordinates after the translation, we need to apply the translation rule to each vertex of the triangle.

For vertex A(-3, 1), we add 4 to the x-coordinate and subtract 3 from the y-coordinate, giving us the new coordinates of A': (-3 + 4, 1 - 3) = (1, -2).

For vertex B(6, 4), we add 4 to the x-coordinate and subtract 3 from the y-coordinate, giving us the new coordinates of B': (6 + 4, 4 - 3) = (10, 1).

For vertex C(2, 5), we add 4 to the x-coordinate and subtract 3 from the y-coordinate, giving us the new coordinates of C': (2 + 4, 5 - 3) = (6, 2).

Therefore, the coordinates of the vertices after the translation are A'(1, -2), B'(10, 1), and C'(6, 2).

To know more about coordinates follow

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what is the slope of the line that contains the points in the table ?​

Answers

Answer: -2

Step-by-step explanation:

Find the reference angle of - 30°.
a) 270°
b) 180°
c) 300
d) 330

Answers

Answer:

Step-by-step explanation:

5ffg

it might be c or d i’m not sure which one

WILL MARK YOU BRAINLIEST!!!!!!

Answers

Answer:

D street

Step-by-step explanation:

Please help me find the answer! Please explain how you got it!

Answers

Answer:

B. 4.5c + 4 = 24

Step-by-step explanation:

T = cx + py  is the equation you are given.

T = 24 because it is the total amount of money you can spend.

x = 4.5 because each phone case costs 4.50 dollars

p = 2 because you bought 2 pop sockets.

y = 2 because each pop socket costs 2 dollars.

There is no c because you don't know the number of phone cases you bought.

Now, we have to substitute the values into the equation:

24 = 4.5x + 2(2)

24 = 4.5x + 4

4.5x + 4 = 24       <--- This is your answer

Hope this helps!

what is m pqr (3x-5) (x+1)

Answers

The value of measure ∠PQR is,

⇒ ∠PQR = 133°

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

In the given figure,

⇒ ∠PQR = (3x - 5)°

⇒ ∠ RQS = (x + 1)°

Now, By the figure we can conclude,

⇒ ∠PQR + ∠ RQS = 180°

Substitute the given values, we get;

⇒ (3x - 5) + (x + 1) = 180

⇒ 4x - 4 = 180

⇒ 4x = 180 + 4

⇒ 4x = 184

⇒ x = 184/4

⇒ x = 46

Thus, The value of measure ∠PQR is,

⇒ ∠PQR = (3x - 5)°

⇒ ∠PQR = (3 × 46 - 5)°

⇒ ∠PQR = (138 - 5)°

⇒ ∠PQR = 133°

Learn more about the mathematical expression visit:

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The complete question is shown in figure.

3) The height of an object that is thrown straight up from a height of 6 feet

above ground is given by h(t) = -15t2 + 25t + 6, where t is the time in

seconds after the object is thrown. Find the average rate of the object from

1 to 4 seconds.

Answers

Answer:

- 44 feets

Step-by-step explanation:

Given the model:

h(t) = -15t2 + 25t + 6

Average height of object from 1 - 4 seconds

At :

t = 1

h(1) = -15(1)^2 + 25(1) + 6 = 16 feets

t = 2

h(2) = -15(2)^2 + 25(2) + 6 = - 4 feets

t = 3

h(3) = -15(3)^2 + 25(3) + 6 = - 54 feets

t = 4

h(4) = -15(4)^2 + 25(4) + 6 = -134 feets

Average height:

(16 + (-4) + (-54) + (-134)) / 4 feets = (- 176 / 4) feets

= - 44 feets

Find the quotient: 8 ÷ 0.5

You can find the quotient by asking how many
are in 8.
Think of the problem as
items, each divided into 2 equal pieces.
The quotient is
.

Answers

The quotient is 16. Because 16 0.5s go into 8

Answer:

The answer is...........1:Halves 2:8 3:16

can someone help me plzz

Answers

Step-by-step explanation:

13) +1

14). - 1

15). +1

16). - 1

17). +1

18). Negetive_positive

URGENT
What is the distance between the two points (-5, 6) and (8,-4)?

Answers

Given parameters:

Coordinates of the two points = (-5, 6) and (8,-4)

Unknown:

Distance between the two points.

To find the distance between two points, use the expression below;

  Distance ²  = (x₂ - x₁)² + (y₂ - y₁)²

where;

(-5, 6) and (8,-4)

         x₂ = 8 , x₁ = -5 , y₂ = -4 and y₁ = 6

Input the parameters and solve;

 Distance²  =  (8-(-5))²  +  (-4 - (6))²

                    = 169 + 100

                    = 269

Distance = [tex]\sqrt269}[/tex]   = 16.4

The distance between the two points is 16.4

Find (f•g)(x).
f(x) = x^2 + 4x
g(x) = 6x
Write your answer as a polynomial in simplest form.

Answers

Answer:

6x^3 + 24x^2

Step-by-step explanation:

We need to find (f * g)(x)

If we distribute the "x" here, we should get f(x) * g(x), which is what we have to solve for

f(x) * g(x) = 6x(x^2 + 4x)

= 6x^3 + 6x(4x)

= 6x^3 + 24x^2

This is the simplest expression you can get

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