The area of a rectangle is twice the area of a square. If the rectangle is 6 inches long, and the width of the rectangle is the same as the length of a side of the square, find the dimensions of both the rectangle and the square.

Answers

Answer 1

Answer:

Dimension of rectangle = 6 inches by 3 inches

Dimension of square = 3 inches by 3 inches

Step-by-step explanation:

Given information:

- Length of rectangle = [tex]6[/tex] inches.

- Width of rectangle is the same as the side length of square.

- Area of rectangle is twice the area of square

Variable to define:

Let [tex]s[/tex] = side length of the square and the width of the rectangle

Finding dimensions of rectangle and square:

From the information given, we can write the equation:

[tex]6s=2s^2[/tex]  (Area of rectangle is twice the area of square)

[tex]6=2s[/tex] (Divide [tex]s[/tex] on both sides)

[tex]s = 3[/tex] inches

Dimension of rectangle = length by width

= 6 inches by 3 inches

Dimension of square = side by side

= 3 inches by 3 inches

Hope this helps :)


Related Questions

X+19=-9
pls help!! algebratic equations

Answers

Answer:

x=-28

Step-by-step explanation:

Subtract 19 from both sides.

-9 -19 = -28

Answer:

-28

Step-by-step explanation:

you need to get x by itself, so subtract 19 on each side. -9-19= -28

Which graph shows the solution for d?

Answers

Answer:

is there a picture????

We can’t give you an answer if there isn’t a pic

The image point of A after a translation right 4 units and down 4 units is the point B(12, – 7). Determine the coordinates of the pre-image point A.

Answers

Answer:

            (8, –3)

Step-by-step explanation:

Translation right or left means change of the x-coordinate.  

Translation up or down means change of the y-coordinate.

Translation right or up means adding.

Translation left or down means  subtracting.

[tex]A=(x_A, y_A)\quad\rightarrow\quad B=(x_A+4,\,y_A-4)\\\\x_A+4=12\qquad\qquad y_A-4=-7\\\\x_A=12-4\qquad\qquad y_A=-7+4\\\\x_A=8\qquad\qquad\qquad y_A=-3\\\\A=(8,-3)[/tex]

how do I find the value of x in a isosceles and equilateral triangle​

Answers

Depends on where the x is. If in the equilateral triangle, x is the only angle missing then you do whatever two numbers they gave + x = 180 then solve.

If it’s in an isosceles and it’s the same situation, you do x = the side with the same amount of degrees (you will know because there will be a line on the “x” and given side

please help and answer this question

Answers

Answer:

-2x+9

This is the answer you are looking for

YOUR WELCOME! :D

Help Please!Solve For Z.

Answers

Answer:

Step-by-step explanation:

z = whole root (x^2 + 9)

my teacher sent me a really passive aggressive email. any ideas of how to respond in a passive aggressive way without getting in trouble. here's some context for what the email was about. So I had to submit something online but I'm having issues doing it. I figured out a way to do it but he wants me to do it a different way. the way he wanted me to do it didn't work so I asked him if I could just do it my way. he told me that I'm the only one having the issue and asking him if it's ok to submit it my way would be a burden for him to grade(which honestly it wasn't, all it would take him is an extra minute) he also said that I should develop some persistence and figure out the issue. (this was an assignment due 2 months ago and the semester is almost over, he said that if I don't get it in I'll get a 0 for it. that's why I asked for him to grade it the way I submitted it.)

so any ideas on how to respond. ​

Answers

Answer: tell him " your way doesnt work many people have the same issue so im doing it my way"

Step-by-step explanation:thats job done

I kinda had the same issue before and Ik it SUCKS!!

Respond him by saying like “I really tried my best to follow your method and I tried many different ways to do it but it seems like that method doesn’t work for me somehow, so could you please accept my own method since I couldn’t do it in your way? My sincere apology for your inconvenience”

I made it as much formal as I can so that u don’t get in trouble haha.
But if he again sends aggressive email, report him or let your parents send email to them.

How much greater is the perimeter of a square with an area of 144 square meters than the perimeter of a square with a side length of 9 meters?

Answers

Answer:

12 meters

Step-by-step explanation:

Area of square = 144 Sq m

[tex]side \: of \: square = \sqrt{144} \\side \: of \: square = 12 \: m \\ \\ perimeter \: of \: square \: \\ = 4 \times 12 \\ = 48 \: m \\ \\ perimeter \: of \: square \: with \: \\ side \: 9 \: m \\ = 4 \times 9 \\ = 36 \: m \\ \\ diference \: in \: perimeters \\ = 48 - 36 = 12 \: m[/tex]

A rectangular prism has a height of 15 centimeters. The base of the prism has an area of 22 square centimeters. What is the volume of the prism?

Answers

Answer:

330cm^3

Step-by-step explanation:

22 only has 2 factors 11&2. So take 11•2•15=330 Doing it as 22•1•15 works as well.

If the perimeter of the triangle is 40 cm, find the area of the triangle.

The area of the triangle is, ? cm2.

Answers

Answer:

102 cm²

Step-by-step explanation:

Perimeter is:

P = 40 cmand P = 2x - 4 + 5x - 13 + x + 9 = 8x - 8

Comparing the value:

8x - 8 = 40 8x = 48x = 8 cm

Are formula:

A = 1/2ah

Replacing values:

A = 1/2(x + 9)(2x - 4)A = 1/2(8 + 9)(2*8 - 4) = 1/2*17*12 = 102 cm²

Answer:

60cm²

Step-by-step explanation:

To find :-

The Area of the triangle .

We know that Perimeter is the sum of sides of a triangle. Here the perimeter is 40cm .

→ 2x - 4 +5x - 13 + x + 9 = 40cm .

→ 8x - 8 = 40cm

→ 8x = 40+8 cm

→ 8x = 48 cm

→ x = 6cm .

We know that the area of the triangle is half the product of base and height .

Base = x + 9 = 15cm Height = 2x -4 = 8cm .

→ A = 1/2 × b × h

→ A = 1/2 × 8cm × 15cm

→ A = 60cm²

please help fast. - a pair of equations are shown below:

y = 7x - 8
y = 5x - 2

Answers

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

y = 7x - 8 → (1)

y = 5x - 2 → (2)

A

Solving by substitution

Substitute y = 7x - 8 into (1)

7x - 8 = 5x - 2 ( subtract 5x from both sides )

2x - 8 = - 2 ( add 8 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Substitute x = 3 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 7(3) - 8 = 21 - 8 = 13

Solution is (3, 13 )

B

The point of intersection of the graph of the 2 equations is the solution to the above equations.

That is point of intersection = (3, 13 )

Select the correct answer.
What is the solution to the equation?
vt + 3 = 12
A.
225
OB.
81
O C.
3
OD.
no solution

Answers

Answer:

81

Step-by-step explanation:

[tex] \sqrt{x} + 3 = 12 \\ \\ \sqrt{x} = 12 - 3 \\ \\ \sqrt{x} = 9 \\ \\ {( \sqrt{x} )}^{2} = {(9)}^{2} \\ \\ x = 81[/tex]

81 is the  solution to the equation √x+3=12

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is √x+3=12

Square root of x plus three equal to twelve

√x+3=12

Subtract three from both sides

√x+3-3=12-3

√x=9

Square on both sides

√x²=9²

The root and square will gets cancelled

x=81

Hence, 81 is the  solution to the equation √x+3=12

To learn more on Equation:

https://brainly.com/question/10413253

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33+36 is the same as Blank +29

Answers

40 is the answer to the problem.

Write the slope-intercept form of the equation that is described below.

Through (3, 3) and perpendicular to y = 14x − 2

What is the equation?

Answers

Answer:

        y = -¹/₁₄x + 3³/₁₄

Step-by-step explanation:

If two lines are perpendicular then the product of theirs slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇒    m₁×m₂ = -1

y = 14x - 2   ⇒   m₁=14

14×m₂ = -1        ⇒    m₂ = -¹/₁₄

The line y=-¹/₁₄x+b passes through point (3, 3) so the equation:

3 = -¹/₁₄×3 + b must be true

3 = -³/₁₄ + b

b = 3³/₁₄

Therefore equation in  slope-intercept form:

                                                y = -¹/₁₄x + 3³/₁₄

Greg went to Bed Bath and Beyond to buy Christmas gifts for his family this year. In his first trip he bought 4 candles, 5 wallflowers, and 6 lotions for a total of $123. Greg forgot some people on his list the first time so he makes a second trip and spent $48 to buy 2 candles, 3 wallflowers, and 1 lotion. The price of a lotion is 2 less than 2 times the price of a wallflower. How much does each item cost?

Answers

Answer:

Price of Candle: 12.5

Price Wallflower: 5

Price of Lotion: 8

Step-by-step explanation:

Let cost of a candle = [tex]x[/tex]

Let cost of a wallflower = [tex]y[/tex]

Let cost of a lotion = [tex]z[/tex]

Cost of 4 candles = 4[tex]x[/tex]

Cost of 5 wallflowers = 5[tex]y[/tex]

Cost of 6 lotions = 6[tex]z[/tex]

Cost of 2 candles = 2[tex]x[/tex]

Cost of 3 wallflowers = 3[tex]y[/tex]

Cost of 1 lotion = [tex]z[/tex]

As per question statement:

[tex]4x+5y+6z=123 .... (1)\\2x+3y+z=48 ...... (2)\\z=2y-2 ..... (3)[/tex]

Using equation (3) in (1) and (2), the equations get reduced to :

[tex]\Rightarrow 4x+17y = 135 ..... (4)\\\Rightarrow 2x+5y = 50 ..... (5)[/tex]

Multiplying (5) with 2 and subtracting from equation (1):

[tex]7y = 35\\\Rightarrow y = 5[/tex]

By equation (3):

[tex]\Rightarrow z =8[/tex]

By equation (4):

[tex]\Rightarrow x = 12.5[/tex]

Therefore, the answer is:

Price of Candle: 12.5

Price Wallflower: 5

Price of Lotion: 8

HELP ASAP! Will mark brainliest! Please give actual, correct answers because this is very important.

Answers

Answer:

1.) -t (r - s)

   -3 (-6 - 3)

   16 + 6

   22

2.) B

   A linear equation consists of y = slope + y-intercept (y = mx +b). In this case, the slope will rise by 1 and run (right) by 1.

3.) I`m sorry I`m not too sure about this one

I hope the first couple helped, I`m sorry I don`t know the last one.

The baseball team has a double-header on Saturday. The probability that they will win both games is 42%. The probability that they will win the first game is 60%, What is the probability that the team will win the second game given that they have already won the first game?

Answers

The probability that the team will win the second game given that they have already won the first game is 7/10

Event win in the 1st game is represented with A

Event win in the 2nd game is represented with B

In the question

i. The probability that they will win both games is P(AnB) = 42%

ii. The probability that they will win the first game is P(A) = 60%

The probability that the team will win the second game given that they have already won the first game is:

P(B/A) = P(BnA) / P(A)

P(B/A) = P(AnB) / P(A)

From the question

P(B/A) = 42% / 60%

P(B/A) = 0.42 / 0.60

P(B/A) = 7/10

In conclusion: The probability that the team will win the second game given that they have already won the first game is 7/10

See related question here https://brainly.com/question/23423241

What is the value of x?​

Answers

Answer:

1 is the value of x

Step-by-step explanation:

...............

Heng was trying to factor 10x^2+5x. She found that the greatest common factor of these terms was 5x5x5, x and made an area model:

Answers

Answer:

[tex]Width = 5x + 1[/tex]

Step-by-step explanation:

Given

[tex]Area = 10x^2 + 5x[/tex]

[tex]Length = 5x[/tex]

Required (Missing)

Determine the Width?

Area is calculated as:

[tex]Area = Length * Width[/tex]

Substitute values for Area and Length

[tex]10x^2 + 5x = 5x * Width[/tex]

Factorize the right hand side

[tex]5x(5x + 1) = 5x * Width[/tex]

Divide both sides by 5x

[tex]5x + 1 = Width[/tex]

Hence, the width of the model is 5x + 1

What are the x intercept and y intercept of the graph of 5x+8y=20

Answers

Answer:

x intercept: (4,0)

y intercept: (0,2 1/2)

Step-by-step explanation:

x intercept is (4, 0) and y intercept is (0,5/2) of the graph of 5x+8y=20

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

5x+8y=20

8y=-5x+20

Divide both sides by 8

y=-5/8x+20/8

y=-5/8x+5/2

Now put x=0 to find y intercept

y=5/2

Now put y=0 to find x intercept

-5/2=-5/8x

4=x

Hence, x intercept is (4, 0) and y intercept is (0,5/2).

To learn more on slope of line click:

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13) How do you know when to use the mean or median as the best measure of center?​

Answers

Answer:

The mean is the most common measure of center. It is what most people think of when they hear the word "average". However, the mean is affected by extreme values so it may not be the best measure of center to use in a skewed distribution. The median is the value in the center of the data.

Step-by-step explanation:

hope this helps

Brainliest!!!!!!!!!!!!!!

Answers

Answer:

The answer is 286.

Explanation:

We first find the first term of the sequence, a₁. We use the explicit formula for an arithmetic sequence to do this:

We know the 6th term is 22; this means we substitute 6 in for n. We also know the common difference is 6, so we use that for d. That gives us a₆=a₁+6(6-1).

We know the value of the sixth term is 22, so we use that instead of a₆:

22=a₁+6(6-1).

Evaluating this, we have

22=a₁+6(5)

22=a₁+30.

Subtract 30 from both sides, and we have

22-30=a₁

-8=a₁.

We now use this value in our explicit formula:

To find the fiftieth term we replace n with 50:

a₅₀= -8+6(50-1)

a₅₀= -8+6(49)

a₅₀= -8+294

a₅₀=286

PLEASEEE HELPP

solve for x

x/4 ≥ -8


x ≥ -2

x ≥ -32

x ≤ -32

x ≤ -2

Answers

Answer:

Step-by-step explanation:

X/4 ≥ -8

4 x X/4 ≥ -8 x 4

X ≥ -32

GUYSSSSSSS!!!!!!! PLEASE PLEASE!!! PLEASE HELP!! ILL MARK BRAINLIEST!!

Answers

Answer:(1, 1)

Step-by-step explanation:

u just move it 4 left and 3 up cuz x is left and right and its negative so left, then y is up and down and it's positive so up

Solve for k.
Give an exact answer.
1/4k = 3(-1/4k+3)

Answers

Answer:

k=9

HOPE THIS IS CORRECT!

Answer:

k =9

Step-by-step explanation:

I'm just built different

Ms. Davis counts 12 large boxes and 18 small boxes of pencils in the supply cabinet. Each large box contains 144 pencils. Each small box contains 24 pencils. Estimate the number of pencils. Is your estimate an underestimate or an overestimate? The find the exact answer.

Answers

Answer:

Estimated amount of pencils = 2040 pencils

Exact amount of pencils = 2160 pencils

Step-by-step explanation:

Estimated amount of pencils are calculated by:

rounding up the numbers to the nearest tens

large box= 144 pencils = 140 pencils

small box = 24 pencils = 20 pencils

Estimated number of pencils =

(12 × 140) + (18 × 20)

= 1680 + 360

= 2040 pencils

This is an underestimate

The exact number of pencils is calculated as:

(12 × 144 pencils ) + (18 × 24 pencils)

= 1728 pencils + 432

= 2160 pencils

Using the given​ diagram, solve for x.

Answers

X equals 20 degrees

3x + 10 =1 A:x=6B=X=3 C:x=-3

Answers

Answer:

x = -3

Step-by-step explanation:

3x + 10 -10 = 1 - 10

3x = -9

3x / 3 = -9/3

x = -3

please help thanks in advance also best answer get's brainlest

Answers

Answer:

angle t is 55 degrees

Step-by-step explanation:

Here's my work:

Isoscelese means two of the same length sides. A triangle is 180 degrees. 180-70=110

110/2=55 (two because those are the two angles associated with the equal sides)

How will the solution of the system y > 2x + Two-thirds and y 2x + One-third?

Sample Response: There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions.

What did you include in your response? Check all that apply.

The shaded area would reverse on both inequalities.
The graphs do not overlap until the signs are reversed.
There are an infinite number of solutions in the system once the signs are reversed.
There are no solutions before they are reversed.

Answers

It would be the shaded area solution
Then response
Then inequalities
Then reverse
Include in your response
Dbgt
2x+ 1/3
Dont shade intop
Put shaded on bottom
Put grilled cheesy ontop number
Then fraction t
Then the patty the solution
Then another shaded graph on top
The perfect marh sanwhich
Explanation
Nate robinson challenge

Answer:

all of them.

Step-by-step explanation:

Hope this helps!

<3

~nxmbus

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