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.

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.

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.

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.

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]

​  

​

Answer:

answer: The formula is

(Y2-y1) /(x2-x1)

(3-1)/(5-2)

2/3

Step-by-step explanation:

Have a good day;-)

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!

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!

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]

Answer:

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

Step-by-step explanation:

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.

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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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

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

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:

Answer:

Hope i helped

Step-by-step explanation:

The answer is in the picture.

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.

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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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

B is the correct answer

hope this can help :)

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.

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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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.

Answer:it is A

Step-by-step explanation:

Answer:

x+2^23(45*21)

Step-by-step explanation:

Answer:

ans will option 130 degree

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

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

Angle x = 180 - 50 = 130

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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:

Answer:

3x × 2y

Step-by-step explanation:

x*x*x= 3x

y*y= 2y

3x*2y

Answer:

5/8

Step-by-step explanation: