A rug has a length to width ratio of 5:3 and the area of the rug is 135 sq. ft. What are the dimensions of the rug?

Answers

Answer 1

Answer:

Length = 15 and Width = 9

Step-by-step explanation:

5:3 = 135

make 5, 5x and 3, 3x so that would be 5x*3x = 135

when you times two x's that makes x²

making 15x² = 135

Divide 15 on both sides making 135 now 9

so x² = 9

with a squared x you used a square root

√9 = 3

so x is equal to 3

then put those into 5x, 5(3) and 3x, 3(3)

thus making 15 sq. ft and 9 sq. ft


Related Questions

Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of 7 1/2 inches.

Answers

Answer:

frame b because it takes up more room than the other some it forces the other to be smaller

Step-by-step explanation:

Answer:

Step-by-step explanation

It is Frame B trust me it is bigger.

Which graph can be used to find the solution of the following system of equations?

Answers

Answer:

A

Step-by-step explanation:

1. Honestly, my course of action, if allowed to, would be to use my graphing calculator. Obviously, you can graph the first equation but the second one requires some rearranging, keeping in mind that we are isolating the y.

[tex]2y-2x=10[/tex]

[tex]2y=2x+10[/tex]

[tex]y=x+5[/tex]

So now we have an equation of the line. Simply enter both of these equations into your graphing calculator and you're all set.

I hope this helps!

How much do you need to subtract from 43/10 to make 4?

Answers

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[tex] \frac{43}{10} - x = 4 \\ [/tex]

[tex] \frac{43}{10} - x = \frac{40}{10} \\ [/tex]

Subtract sides 43 / 10

[tex] - \frac{43}{10} + \frac{43}{10} - x = - \frac{43}{10} + \frac{40}{10} \\ [/tex]

[tex] - x = \frac{ - 43 + 40}{10} \\ [/tex]

[tex] - x = - \frac{3}{10} \\ [/tex]

Negatives simplifies

[tex]x = \frac{3}{10} \\ [/tex]

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Thus we need to subtract

[tex] \frac{3}{10} \\ [/tex]

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Answer:

83/10

Step-by-step explanation:

let x represent the number:

43/10 - x = 4

x = 4 + 43/10

simplifying the answer:

x = (4(10) + 43)/10

x = (40 + 43)/10

x = 83/10

(5i-3)(9i+1)
Answer must be in standard form

Answers

Answer:

-48-22i

Step-by-step explanation:

is this vertical or alternate exterior ​

Answers

Vertical cause if slants
It’s Alternate exterior

Please help! -3n+147=0

Answers

Answer:

n = ±7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving quadratics

Step-by-step explanation:

Step 1: Define equation

-3n² + 147 = 0

Step 2: Solve for n

Subtract 147 on both sides:                    -3n² = -147Divide -3 on both sides:                          n² = 49Square root both sides:                           n = ±7

find exact value for cos( theta) if sin(theta)=0.25 , 90

Answers

Answer:

Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.

Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.

Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation

Step-by-step explanation:

Date
Page
A rectangular meadow has an area of 28 square
meter and perimeter 22 m, find the length and breadth.​

Answers

Answer:

perimeter =22m

area=28square meter

perimeter of rectangle=4l

22m=4l

22÷4=l

5.5=l

l=5.5m

area of rectangle =l×b

28=5.5×b

28÷5.5=b

5.09=b

b=5.09m

length =5.5m and breadth =5.09m answer !!!!

Patti ran the race in 8.4 minutes. Maisha ran it in 8.04 minutes. How does the value of 4 in Maisha's time compare with the value of 4 in Patti's time?

Answers

Answer:

Maisha ran the race in .36 seconds faster than Patti.

8.4 - 8.04 = .36

What is the distance between the following coordinates? Show work.

(5, -6) and (3, 4)
SHOW WORK

Answers

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{2 \sqrt{26}}} \: \: \text{units} } } [/tex]

♁ Question :Find the distance between ( 5 , -6 ) and ( 3 ,4 ).

Step by step explanation:

Let the points be A and B. Now,

Let, A ( 5 , -6 ) ⇢ ( x₁ , y₁ )Let, B ( 3 , 4 ) ⇢ ( x₂ , y₂ )

Use the distance formula to determine the distance between A ( 5 , -6 ) and B ( 3 , 4 ).

[tex] \boxed{ \underline{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}}[/tex]

Substitute the actual value of the points into the distance formula and then simplify.

[tex] \dashrightarrow{ \sf{ \sqrt{ {(3 - 5)}^{2} + {(4 - ( - 6))}^{2} } }}[/tex]

Remember : The positive and negative integer are always subtracted but posses the sign of the bigger integer.

[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 2)}^{2} + {(4 - ( - 6))}^{2} } }}[/tex]

Remember : ( - ) × ( - ) = ( + )

[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 2)}^{2} + {(4 + 6)}^{2} } }}[/tex]

Add the numbers : 4 and 6

[tex] \longrightarrow{ \sf{ \sqrt{ {( - 2)}^{2} + {(10)}^{2} } }}[/tex]

Evaluate the power

[tex] \longrightarrow{ \sf{ \sqrt{4 + 100}}} [/tex]

Add the numbers : 4 and 100

[tex] \dashrightarrow{ \sf{ \sqrt{104}}} [/tex]

[tex] \dashrightarrow{ \boxed{ \sf{2 \sqrt{26} }}}[/tex] units

Therefore , The distance between ( 5 , -6 ) and ( 3 , 4 ) is [tex] \sf{2 \sqrt{26}} [/tex] units .

And we're done!

Hope I helped!

Have a wonderful time ! シ

~TheAnimeGirl

Sun-Li has $30 to spend at the carnival. Admission is $5, and each
ride costs $2. What is the greatest number of rides she can ride?
Write and solve an inequality.

Answers

Answer:

Sun-Li will be able to ride 12 rides. (30-5)/2=24

Step-by-step explanation:

What is the product of 0.4 and 0.9

Answers

Answer:

0.36

Step-by-step explanation:

0.4=4/10

0.9=9/10

9/10 times 4/10= (9 times 4)/(10 times 10)=36/100=0.36

Another way you could've done it was to see that since there are 2 decimal points there, the product would also have to have 2 decimal points.

Answer:

.36

Step-by-step explanation:

Nancy has to find the reflection of point A across the y-axis. In the graph, which point is the reflection of the point A across the y-axis? What are the coordinates of the reflection? In which quadrant is the reflection located?

Answers

Answer:

Part A - In the graph, point A is at (-2, 4). Point A is in quadrant II of the coordinate plane.

Part B - In the graph, point C is the reflection of point A across the y-axis. The coordinates of C are (2, 4), so C is located in quadrant I.

Step-by-step explanation:

(Got this right off Edmentum so it's correct)

(Oh, one last thing. What you're asking is part B, I just gave the answer to the question before it)

Write an equation in point -slope form with given information

slope is -5
point at (-3,8)

Answers

Answer:

Step-by-step explanation:

If we know the slope and a point, we can easily write it in point-slope form

[tex]y - y_1 = m(x-x_1)\\y - 8 = -5(x-(-3))\\y - 8 = -5(x+3)[/tex]

The diagram shows a triangle.
19c+16°
13c
17c+17°
What is the value of c?
c =
°

Answers

Answer:

c=3

Step-by-step explanation:

Angle sum of a triangle is 180°

(19c+16)°+13c°+(17c+17)°=180°

collect the like terms i.e

19c+13c+17c+16+17=180°

49c°+33°=180°

49c°=180°-33°

49c°=147

dividing by 49 both sides

49c/49=147/49

c=3

Which word best describe reflection
A.Line of symmetry
B.Mirror-image
C.identical
D.All of the above

Answers

Answer:

B

Step-by-step explanation:

Which word best describe reflection

A.Line of symmetry

B.Mirror-image

C.identical

D.All of the above

How many even integers are there between -4 and 4 ?
F. 1
G. 3
H. 4
J. 5
K. 7

Answers

Answer:

( -2,0,2 ) three

Step-by-step explanation:

HOPE THIS HELPS

Helps me solve this problem please

Answers

Answer:

A.

Step-by-step explanation:

You just plug in the numbers

y = x - 7

-5 = 2 - 7

- 5 = - 5

This makes this equation true.

How can you use a table to determine whether the relationship between two quantities is proportional?

Answers

Answer:

no

Step-by-step explanation:

no

The point plotted on the number line is What is the approximate value of x? 04 O 9 O 17 O 20​

Answers

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[tex] \sqrt{17} ≈4.1[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The correct answer is Option Three .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

C

Step-by-step explanation:

A sculpting tool is in the shape of a solid triangular prism. The tool is made of 12 in.3 of metal and is 4 in. Long. What is the height of the base if it is 2 in. Wide?

Answers

Answer:

The height of the base if it is 2 in. Wide is 3 inches

Step-by-step explanation:

Volume of rectangular prism = [tex]\frac{1}{2} \times Length \times Base \times Height[/tex]

Volume of given rectangular prism = [tex]12 in^3[/tex]

Length of prism = 4 in

Base of prism = 2 in

Substitute the values in formula

So, [tex]12 = \frac{1}{2} \times 4 \times 2 \times Height[/tex]

[tex]\frac{12 \times 2}{4 \times 2}=Height[/tex]

3 = Height

Hence the height of the base if it is 2 in. Wide is 3 inches

Answer:

3 inches

Step-by-step explanation:

Identify the independent and dependent variable for the given situation. D = 5t

Answers

Answer:

d = dependant; t = independant

Step-by-step explanation:

The d value is dependant on the t value, therefore it is the dependant. The t is the only valuable that can be changed in the equation, therefore being the independant.

Answer:

[tex]D[/tex] = dependent; [tex]t[/tex] = independent

Step-by-step explanation:

[tex]D[/tex] is the independent variable since its value relies/depends on the value of [tex]t[/tex].

[tex]t[/tex] is the independent variable since it is the input variable which can be changed.

Hope this helps :)

The temperature increases from 18° F to 27° F.
What is the percent increase of the temperature?
A
3%
B
9%
С
33%
D
50%

Answers

Either 50% or 9%
Because it can be both

The percent increase in the temperature is 50%.

To understand more, check below explanation.

Percentage increase:

The temperature increases from 18° F to 27° F.

       Increase in temperature = 27 - 18 = 9

The percent increase in the temperature is computed as,

                                  [tex]=\frac{27-18}{18}*100\\ \\=\frac{9}{18}*100\\ \\=\frac{1}{2}*100=50\%[/tex]

Learn more about the percentage here:

https://brainly.com/question/24304697

Yesterday the temperature was 11°C. Today it is -11°C. In degrees Celsius, what is the change in
temperature?

Answers

It went from positive to negative

what5 is 12.4 x -1.35

Answers

Answer: -16.74

Step-by-step explanation:

Answer:-16.74

Step-by-step explanation:

I need to graph the points where the line crosses the axes. Also a basic explanation of how to do so would be helpful

Answers

Answer:

(0,6) and (-2, 0)

Step-by-step explanation:

All straight lines follow the equation, y = mx + c. where c is the y-intercept (the point where the line meets the y-axis) and m is the gradient.

In this equation, c = 6. So, the point where the line meets the y-axis is (0, 6).

Remember: the point where the line meets the y-axis always has an x-coordinate of 0 and the point where the line meets the x-axis has a y-coordinate of 0.

using this information, we can substitute y in the equation with 0 becoming

0 = 6 + 3x

now we can solve for x.

0 -6 = 3x

-6 / 3 = x

x = -2

the coordinate is (-2, 0)

Just need the blank answers

Answers

Answer:

(x+1)(x-1) and x = -1, 1, 2

Step-by-step explanation:

x^2 - 1 factors to (x+1)(x-1)

x+1 = 0; x = -1

x-1 = 0; x = 1

x-2 = 0; x = 2

Which choice is equivalent to the fraction below x>=3? ​

Answers

Answer:

Answer: D. 2(V[x} + V{x - 2}) Step-by-step explanation: As hinted in the question, we have to simplify the denominator. To understand it easier, let's imagine we have x - y in the denominator. If we multiply it with x + y we'll get x? - y, right? Check the next line: (x - y) (x + y) = x² + xy -xy - y? = x² - y? If we have the square of those nasty square roots, it will be much simpler to deal with. So, let's multiply the initial fraction using x+y, but with the real values: 4 x-2 x+Vx-2 x-2 4(Va+v-2) (V#)² -(væ–2)² Then we simplify: 4(va+væ-2) 4(Va+va-2) (Væ)2-(Va-2)2 2(Va + Va – 2) 4(va+va-2) (x) -(x-2) 2 Answer is D. 2(V{X} + v{x - 2})

1-2 Attributes of Functions

Find the domain, range, and intercepts of the function f (x) = 7x + 11

O A

OB.

domain: (-00,00) ; range:

domain: (-00,00) ; range: (–00,00) ix-intercept: (11,0) : v-intercept: (0, - 2)

[-4,11] :x-intercept: (11,0) : vintercept: (0, - )

[- 4,0] :x-intercept: ( - 4,0) : v-intercept:(0, 11)

domain: (-00,00) + range: (–00,00) : x-intercept: (- 4,0) : vintercept:(0, 11)

C.

domain: (0, 11] : range:

D.

Answers

Given:

The function is

[tex]f(x)=7x+11[/tex]

To find:

The domain, range, and intercepts of the function.

Solution:

We have,

[tex]f(x)=7x+11[/tex]

It is a linear function, and domain and range of these types of functions  are all real numbers.

[tex]Domain:(-\infty,\infty)[/tex]

[tex]Range:(-\infty,\infty)[/tex]

Put x=0 in f(x), to find the y-intercept.

[tex]f(0)=7(0)+11[/tex]

[tex]f(0)=0+11[/tex]

[tex]f(0)=11[/tex]

So, the y-intercept is 11.

Put f(x)=0 in f(x), to find the x-intercept.

[tex]0=7x+11[/tex]

[tex]0-11=7x[/tex]

[tex]-11=7x[/tex]

Divide both sides by 7.

[tex]\dfrac{-11}{7}=x[/tex]

So, the x-intercept is [tex]\dfrac{-11}{7}[/tex].

Therefore, [tex]Domain:(-\infty,\infty), Range:(-\infty,\infty), x-intercept : (\dfrac{-11}{7},0),[/tex] [tex]y-intercept :11[/tex].

ASAP 20 points!!! & BRAINLIEST!

Answers

Answer:

None are parallel.

Step-by-step explanation:

Only when the coordinates have the same distance in both x and y that both lines are parallel, which none of these are.

Hope this helped!

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