The length of a rectangle is eight more than twice its width. The perminiter is 96 feet . find the deminsions. With the variable, equation, and solution.

Answers

Answer 1

Step-by-step explanation:

lenght = x + 8

width = x

[tex]perimeter = 2(x + 8) + 2(x) \\ 96= 2x + 16 + 2x \\ 4x = 96 - 16 \\ x = \frac{80}{4} \\ x = 20[/tex]

then

Lenght = x + 8 = 20 + 8 = 28

Width = x = 20

Answer 2

Step-by-step explanation:

L=8+2W

P=2L+2W

P=2(8+2W)+2W

P=16+4W+2W

P=16+6W

P=96

96=16-6W

80=6W

W=13.3333


Related Questions

The sales tax of 8% on a purchase of $12 is

A. $0.86

B. $0.96

C. $1.06

D. $1.60​

Answers

The answer is B. $0.96 :))

You have a globe that has a radius of 11 inches. Find the volume of your globe

Answers

Answer:5,575.3in cubed

Step-by-step explanation:

The volume of a globe that has a radius of 11 inches would be equal to 5,575.3 cubic inches.

What is the volume of a sphere?

A sphere is a three-dimensional shape analouge of a circle.

The volume of a sphere = 4/3πr^3

The radius of the sphere is 11 inches.

The volume of a sphere = 4/3πr^3

                                       = 4/3 x 11 x 11 x 11 x π

                                       = 4/3 x 11 x 11 x 11 x 3.14

                                      = 5,575.3

Thus, The volume of a globe that has a radius of 11 inches would be equal to 5,575.3 cubic inches.

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If the following figure is a rectangle, find wz. ​

Answers

Answer:

Step-by-step explanation:

as both sides are equal so

7x-6 = 3x+14

7x-3x = 14+6

4x = 20

x= 5

Now, put x in 7x-6 to find WZ

7(5)-6 = 29

Also, 3(5)+14 = 29

The measurement of the side WZ of rectangle WXYZ is 29.

What are rectangles?

A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°). The opposite sides of a rectangle are equal and parallel.

Given that, WXYZ is a rectangle, we need to find WZ,

As we know that, a rectangle is a type of parallelogram and opposite sides of a parallelogram are equal and parallel,

WZ and XY are opposite sides of the rectangle, therefore, are equal.

Thus,

WZ = XY

7x - 6 = 3x + 14

4x = 20

x = 5

Put x =5 in 7x - 6

WZ = 7(5) - 6

WZ = 29

Hence, the measurement of the side WZ of rectangle WXYZ is 29.

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Can someone help me with this question?

Answers

Answer:it is A

Step-by-step explanation:

It is A

Hope it helps

What is the value of x?
O 100°
140°
O 120°
O 130°
O 150°
56°
34°
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

ans will option 130 degree

The value of x in the given figure is 130 degrees.

What is the value of x?

The first step is to determine the value of all of the angles in the quadrilateral.

First angle = 180 - 140 = 40 Second angle = 180 - 34 = 146Third angle = 180 - 56 = 124Fourth angle = 360 - (40 + 146 + 124) = 50

Angle x = 180 - 50 = 130

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If the relationship is proportional, what is the missing value from the table?

Answers

the answer would be C, 12.

if there is a trophy that is 13 inches tall and it's shadow is 26 inches and there's another trophy that's 7 inches tall, whats is it's height?

Answers

We first have to use ratios:
The first one is: 13/26 which equals 1/2
Then the next ratio: 7/? Look at it this way x/2x x=7 so 2x = 14 inches. This is only if you mean the height of the second trophy’s shadow

solve the equation. 7+3lnx=20

Answers

Answer:

Simplifying

7 + 3lnx = 15

Solving

7 + 3lnx = 15

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + 3lnx = 15 + -7

Combine like terms: 7 + -7 = 0

0 + 3lnx = 15 + -7

3lnx = 15 + -7

Combine like terms: 15 + -7 = 8

3lnx = 8

Divide each side by '3nx'.

l = 2.666666667n-1x-1

Simplifying

l = 2.666666667n-1x-1

Answer:

The answer for " X" would be,

[tex]x = \frac{13}{3in} [/tex]

The answer for "N" would be,

[tex]n = \frac{13}{3ix} [/tex]

ok so this is fraction what is 5/6 x 3/4

Answers

Answer:

5/8

Step-by-step explanation:

HELP!!! WILL GIVE BRAINLIEST!!!

If a line passes through the points (3,5) and (1, 2), its slope is_______.If
necessary, use the slash (/) to indicate a fraction.

Answers

Answer:

answer: The formula is

(Y2-y1) /(x2-x1)

(3-1)/(5-2)

2/3

Step-by-step explanation:

Have a good day;-)

Someone pls help! X*2(4x+3^2%)/23/21^2

Answers

Answer:

x+2^23(45*21)

Step-by-step explanation:

x times x times x times y times y

Answers

Answer:

3x × 2y

Step-by-step explanation:

x*x*x= 3x

y*y= 2y

3x*2y

Members of the robotics club are ordering shirts with the club logo on the front. They can choose from a T-shirt, a sweatshirt, or a collared shirt
Each type of shirt comes in either red, blue, green, or purple. What is the probability that a club member will order a sweatshirt that is neither
red nor blue?

Answers

Answer:33

Step-by-step explanation: because they all have a chance so if you split 100 by three you get the product with a remainder of one that cant be split with out going into decimals

Hope this helps

Calculating Percents 2
You may use a calculator for all calculations
Part 1 - Write each percent as a decimal equivalent
120%
2 15%
3 45%
4 50%
51%
63%
75%
8 6%

Answers

Answer: 120% is 1.2 in decimal form.

215% 2.15

345%  345

450% 4.50

51% 0.51

63% 0.63

75% 0.75

86$ 0.86

Step-by-step explanation:

Helppppp Me!!!!!!!!!

Answers

Answer:

Top right

Step-by-step explanation:

Answer:

The bottom right triangle is both acute and scalene.

Explanation:

A scalene triangle is a triangle in which all 3 sides have different lengths. An acute triangle has 3 different angles under 90º. This triangle has 3 different lengths (8.3ft, 9ft, and 10 ft) and angles less than 90º (51º, 58º, and 71º); therefore, it's both acute and scalene.

Subtract 4/15 - 1/6. Simplify the answer.

Answers

Answer:

Find the smallest multiple the denominators have in common  

30

Expand each fraction so that the denominators are 30

[tex]\frac{8}{30} + \frac{- 5}{30}[/tex]

Add or subtract the numerators and keep the same denominator

[tex]\frac{8- 5}{30}[/tex]

Simplify

[tex]\frac{1}{10}[/tex]

​  

 

What is the slope of the line which passes through (1, 4) and (0, 1)?

Answers

3/1 is the slope............,

What is 4/5 divided by 1/2

Answers

Answer:

4/5 / 1/2=1 3/5

Step-by-step explanation:

4/5 divided by 1/2 is 1 3/5

Find the value of x and y

Answers

Answer:

Step-by-step explanation:

Step One: We need to find a way to equate either the x terms of the y terms in each equation. ...

Step Two: Take equation b) from equation a) to eliminate the x component. ...

Step Three: substitute the value of y into either equation to find the value of x.

hope this helps!

The value of x and y is

a small refrigerator is a cube with a side length of 12 inches use the formula S= 6s2 to find the surface area of the cube

can someone please help me with this it's the last problem on my exam

Answers

Answer:

Surface area of the refrigerator is 864 in².

Step-by-step explanation:

Formula to calculate the surface area of a cube is,

Surface area = 6s²

Here, s = length of a side of the cube

If side length 's' = 12 inches

By substituting this value in the formula,

Surface area = 6(12)²

                     = 6 × 144

                     = 864 inch²

Therefore, surface area of the refrigerator is 864 in².

The work of a student to solve the equation 2(3x − 4) = 8 + 2x + 4 is shown below:

Step 1: 2(3x − 4) = 8 + 2x + 4
Step 2: 5x − 6 = 12 + 2x
Step 3: 5x − 2x = 12 + 6
Step 4: 3x = 18
Step 5: x = 6

In which step did the student first make an error and what is the correct step? (5 points)

A. Step 2; 6x − 6 = 2(6 + x + 2)
B. Step 2; 6x − 8 = 12 + 2x
C. Step 3; 5x − 2x = 12 − 6
D. Step 3; 5x + 2x = 12 + 6

Answers

Answer:

B. Step 2; 6x - 8 = 12x + 2x

Step-by-step explanation:

Option B is correct, the student first make an error in step 2 and the correct step is  6x − 8 = 12 + 2x.

What is Equation?

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

The given equation is 2(3x − 4) = 8 + 2x + 4

Two times of three x minus four equal to eight plus two times of x plus four.

The work of student

Step 1: 2(3x − 4) = 8 + 2x + 4

Step 2: 5x − 6 = 12 + 2x

Step 3: 5x − 2x = 12 + 6

Step 4: 3x = 18

Step 5: x = 6

The student made a error in step 2.

After applying to the distributive property to the equation

6x-8=8+2x+4

The correct step is 6x-8=2x+12

Hence, Option B is correct, the student first make an error in step 2 and the correct step is  6x − 8 = 12 + 2x.

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Alia has a AED 20 gift card for an online music store. All songs at the store have the same price. After Alia buys 3 songs, the balance on the card is AED 16.25. What will be the remaining balance on the card after he buys 5 more songs

Answers

Answer:

Remaining balance = AED 13.75

Step-by-step explanation:

Given that:

Amount of gift card = AED 20

Amount left after buying 3 songs = AED 16.25

Cost of 3 songs = 20 - 16.25 = AED 3.75

Cost per song = [tex]\frac{3.75}{3}[/tex]

Cost per song = AED 1.25

Cost of 5 songs = 5(1.25) = AED 6.25

Remaining balance = 20 - 6.25 = AED 13.75

Hence,

Remaining balance = AED 13.75

What is the solution to 3(4x - 8) = 4(6 - 3x)?
A)
-4
B)
2
C)
-10
D)
7

Answers

B is the correct answer

hope this can help :)

Simplify by combining like terms.
4 1/3 B + 2 3/4 B + 1
Remember to simplify the mixed number!
Enter the number that goes in the green box.

Answers

85/12b +1 is the answer

anna has 300naira and ojo has 1860naira.if anna saves 50 naira a day and ojo spends 70 a day, after how many days will they have equal amounts?​

Answers

Answer:

Anna and Ojo will have same amount after 13 days.

Step-by-step explanation:

Given that:

Anna has 300 naira

She saves 50 naira per day.

Let,

x be the number of days.

y be the amount saved

y = 50x + 300

Ojo has 1860 naira

He spends 70 naira per day.

Let,

x be the number of days

y be the amount left

y = 1860 - 70x

For equal amount, the equations will be equal

50x +300 = 1860 - 70x

50x + 70x = 1860 - 300

120x = 1560

Dividing both sides by 120

[tex]\frac{120x}{120}=\frac{1560}{120}\\x=13[/tex]

Hence,

Anna and Ojo will have same amount after 13 days.

A circular mirror has a diameter of 22 inches. Which measurement is closest to the area of the mirror in square inches

Answers

Answer:

379.94 square inches, or 379.94 in².

Step-by-step explanation:

The area of a circle is π r². The diameter of the circle is listed as 22 inches, and the radius, or "r", is equal to half of the diameter. So, half of 22 is 11.

Since the formula says r², 11 needs to be squared, or multiplied once by itself.  11 x 11 = 121, so the last part of the equation is to multiply 121 by π. Because pi is an irrational number that never ends, it is commonly accepted to use 3.14, or the first three digits of pi, as the value of pi in an equation.

With that, 121 x 3.14 = 379.94, giving a final answer of 379.94 in².

Let me know if I need to change or clarify anything. I hope this helps! :D

Answer:

19.6ft2

Step-by-step explanation:

(Worth 50 points. Don't post your answer unless you have good ideas) Solve the following problem:
Which triangles are similar ?

Answers

Answer:  ΔABC ≅ ΔADB

Step-by-step explanation:

In order to be similar, they must have the same angles.

    ΔABC                                  ΔADB                              ΔDBC

∠A = 180 - (2a + b)             ∠A = 180 - (2a + b)         ∠D = 180 - (a + b)

∠B = a + b                           ∠D = a + b                      ∠B = b

∠C = a                                 ∠B = a                            ∠C = a

ΔABC and ΔADB have the same angles so they are similar.

Given that f(x)=x^2-1
A) find f(5)
B) find f^-1(x)
C)f^-1(8)

Answers

Answer:

a)  f(5) = 24

b) The inverse of given function

              f⁻¹ ( x ) = √x+1

c)    f⁻¹ ( 8 ) = √9 =3

Step-by-step explanation:

Explanation:-

Given  f(x) = x² - 1

a)

      f(5) = 5² -1 = 25-1 =24

b)      

put y =  f(x) = x² - 1

   ⇒   y =  x² - 1

 ⇒     x² = y + 1

⇒     x = √y+1

⇒ f⁻¹ ( y ) = √y+1      ( ∵ f⁻¹ ( y) =x)

The inverse of given function

              f⁻¹ ( x ) = √x+1

c)   put x=8

             f⁻¹ ( 8 ) = √8+1 = √9 =3

What are the steps to solving this equation? 4x+20x-8=-2(-12x+8)

Answers

Follow pemdas: start with distributing the -2 unto the (-12x+8) which will equal 24 -16 which is 8. Then add the 8 from the other side which is 16. Add like terms on the other side which is 24x. Then divide by 24. You get 2/3 when simplified. Hope this helps:)

Answer: See explanation

Step-by-step explanation:

4x + 20x - 8 = -2 (-12x + 8)

Step 1

Distribute -2 to (-12x + 8)

4x + 20x - 8 = 24x - 16

Step 2

Combine 4x and 20x together

24x - 8 = 24x - 16

Step 3

Add 8 to both sides

24x = 24x - 8

Step 4

Subtract 24x from both sides

0 ≠ -8

That is incorrect so it's not a solution

Hope I helped!

Plot the points (0, −5) and (2, 4) on the coordinate plane.

Answers

Answer:

Hope i helped

Step-by-step explanation:

The answer is in the picture.

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