27. Give the perimeter of the rectangle below in
simplest form.

Answer:

Irrational

Step-by-step explanation:

Answer:

false. an irrational number multiplied to a zero equals an irrational number.

Answer: 2 meters.

Step-by-step explanation:

Let w = width of the cement path.

Dimensions of pool : Length = 15 meters , width = 9 meters

Area of pool = length x width = 15 x 9 = 135 square meters

Along width cement path, the length of region = [tex]2w+15[/tex]

width = [tex]2w+9[/tex]

Area of road with pool =  [tex](2w+15) (2w+9)[/tex]

[tex]= 4w^2+30w+18w+135\\\\=4w^2+48w+135[/tex]

Area of road = (Area of road with pool ) -(area of pool)

[tex]\Rightarrow\ 112 =4w^2+48w+135- 135\\\\\Rightarrow\ 112= 4w^2+48w\\\\\Rightarrow\ 4 w^2+48w-112=0\\\\\Rightarrow\ w^2+12w-28=0\ \ \ [\text{Divide both sides by 4}]\\\\\Rightarrow\ w^2+14w-2w-28=0\\\\\Rightarrow\ w(w+14)-2(w+14)=0\\\\\Rightarrow\ (w+14)(w-2)=0\\\\\Rightarrow\ w=-14\ or \ w=2[/tex]

width cannot be negative, so w=2 meters

Hence, the width of the road = 2 meters.

Answer:

Step-by-step explanation:

Let the midpoint of PR be Q(-1,3) where P is (5,6). To get the other coordinate R, we will use the midpoint formula as shown;

Q(X,Y) = {(x₁+x₂)/2, (y₁+y₂)/2}

From the formula;

X = (x₁+x₂)/2 and Y = (y₁+y₂)/2

From the coordinates given, X = -1, Y = 3, x₁ = 5 and y₁ = 6. To get x₂ and y₂, we will substitute the given points into the expressions above;

To get  x₂;

X = (x₁+x₂)/2

-1 = (5+x₂)/2

cross multiply

-1*2 = 5+x₂

-2 = 5+x₂

subtract 5 from both sides

-2-5 = 5+x₂-5

x₂ = -7

Similarly to get y₂

Y = (y₁+y₂)/2

3 = (6+y₂)/2

cross multiply

3*2 = 6+y₂

6 = 6+y₂

subtract 6 from both sides

6-6 = 6+y₂-6

y₂ = 0

Hence the coordinate of R(x₂, y₂) is (-7,0)

Answer:

The answer would be E.

When you solve 25 x 1/5, you get 5.

When you solve 25 ÷ 5, you get 5.

The equivalent expression is 25 ÷ 5.

Option E is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example.

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

25 x 1/5

= 25 x 1/5

= 5 x 5 x 1/5

= 5

Now,

1/25 x 5

= 1/5

1/25 x 1/5

= 1/125

1/25 ÷ 1/5

= 1/25 x 5

= 1/5

5 ÷ 25

= 5/25

= 1/5

25 ÷ 5

= 5

We see that,

25 x 1/5 and 25 ÷ 5 have the same value.

Thus,

The equivalent expression is 25 ÷ 5.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

Answer:

8× (8 times)

Explanation:

For this question, divide.

72 ÷ 9 = 8.

Your answer will be 8.

Answer:

8 times as many

Step-by-step explanation:

8x9=72

Step-by-step explanation:

hope This helps for you

Answer:

Step-by-step explanation:

Common factors are the number's , variables found in each of the terms

1) 21x²y = 3 * 7 * x * x * y

  35xy² = 5 * 7 * x    *  y * y

Common factor = 7 * x * y

                          = 7xy

Answer :(iii) 7xy

2)a² - b² = (a + b)(a - b)

1 - x² = (1 - x) (1 +x)

(ii)

3) x³ - x = x(x² - 1)

            = x(x + 1)(x - 1)

Answer: (iv)

4) 225 =  15 * 15 = 15²

x³ - 225x = x(x² - 225)

                = x(x² - 15²)            {a² - b² =(a + b)(a - b)}

                = x(x + 15)(x - 15)

Answer: (ii)

5) 12a²b = 3 * 4 * a * a * b

   15ab² = 3 * 5 * a *     b * b

Common factor = 3 * a * b = 3ab

12a²b + 15ab² = 3*4*a²*b +  3*5*a*b²

                      = 3ab (4a + 5b)

Answer:(ii)

The Answer Is x=-2

Hope This Help's

Answer:

[tex] \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star \: \: \: \star[/tex]

Step-by-step explanation:

[tex]: \implies{ - 3(2x - 1) - 3x - 4 = 17}[/tex]

[tex]: \implies{ - 6x + 3 - 3x - 4 = 17}[/tex]

[tex]: \implies{ - 6x - 3x + 3 - 4 = 17}[/tex]

[tex]: \implies{ - 9x - 1 = 17}[/tex]

[tex]: \implies{ - 9x = 17 + 1}[/tex]

[tex]: \implies{ - 9x = 18}[/tex]

[tex]: \implies{ \displaystyle{x = \frac{18}{ - 9} }}[/tex]

[tex] \: \: \: \: \: \: \: \: \star{ \: \implies{ \red{x = - 2}}}[/tex]

Answer:

480

Step-by-step explanation:

Take 96 and divide it by 2 to get what ten percent would be: 48

Then just multiply 48 by ten for 100% (The number): 480.

To check, take a calculator and do 480-20% and it equals 96.

Answer:

3 1/4

Step-by-step explanation:

4 1/16÷1 1/4=

65/16÷5/4=

65/16*4/5=

260/80=

3 20/80=

3 1/4

Answer:

-3.

Step-by-step explanation:

=  6(Sum+8) = 30

=  6Sum + 48 = 30

= 6Sum = -18

= Sum = -3

Hope this helps you :)

Answer:

the answer to this is 6(-3+8)=30

Answer:

x=-4,-3,-2or-1

Step-by-step explanation :0

Step-by-step explanation:

g(x) = 3x² + 2x - 1

g(-1) = 3(-1)² + 2(-1) - 1

= 3(1) -2 -1

= 3 - 3

= 0

Answer:

50 cent

Step-by-step explanation:

Answer:

.50¢

Step-by-step explanation:

50 cents = 1 pound

$1.00 = 2 pound

$1.50 = 3 pounds

$2.00 = 4 pounds

basically adding 50 cents equals to $2

Answer:Yes

Step-by-step explanation:

Kind of like the Declaration of Independence if you’re in the US people gathered to create the declaration of our freedom from British control, way back in 1776

Answer:

A. True

Step-by-step explanation:

congruent- in agreement or harmony

both triangles are the same

Answer:

  30%: 35 liters

  50%: 35 liters

Step-by-step explanation:

The desired concentration is halfway between the concentrations of available solutions, so the mixture will be equal amounts of each.

  35 liters of 30% acid and 35 liters of 50% acid must be used

_____

If you want to write an equation, it usually works well to let the variable represent the amount of the most concentrated constituent: 50% acid. Then the amount of acid in the final mix is ...

  0.50x +0.30(70 -x) = 0.40(70)

  0.20x +21 = 28 . . . . simplify

  0.20x = 7 . . . . . . . . . subtract 21; next, divide by 0.20

  x = 35 . . . . . . amount of 50% solution (liters)

  70-x = 35 . . . amount of 30% solution (liters)

Answer:

7/10

Step-by-step explanation:

1/10 + 3/5

1/10 + 6/10

7/10

Answer:

C.

Step-by-step explanation:

Range is the set of y-values that are outputted by x-values in a function.

We see that our y-values span from -1 to 3, and since they are closed dots, they are included in our range. Therefore, our range is C.

Answer:

0.99+10=10.99

Step-by-step explanation:

Answer:

the answer is 2

Step-by-step explanation:

Please find attachment for full question Answer:

1. Stays same

2. Decrease

3. Stays same

4. Decrease

Explanation:

Please find attachment

Answer: B. 473.176

Step-by-step explanation: 3.78541 Liters are in one gallon, so if you multiply 3.78541 Liters by 125 gallons then you will end up with 473.176 liters. If you have to add tax then it would be A. 475.250

Answer:

complement of set A={2,4,6}

hope it helps

plz mark as brainliest

Answer:

t= -0.18

Step-by-step explanation:

Isolate t to get the unknown number:

(-4.5t)(49.5t) = 40

      Multiply (-4.5t)(49.5t):

                     (-4.5t)(49.5t) = -222.75t

      Now, write full equation:

          -222.75t = 40

      Isolate t by dividing -222.75 on both sides:

           [tex]\frac{-222.75}{-222.75}t=\frac{40}{-222.75}[/tex]

      Cancel out left hand side:

            [tex]t=\frac{40}{-222.75}[/tex]

      Simplify your answer:

              [tex]t=-0.17957351[/tex]

      Approximate to 2 decimals:

           [tex]t=-0.18[/tex]

Answer:

Area of a CIRCLE with radius of 3 inches is

PI * radius^2 =

3.14159265 * 3^2 =

28.27433385  square inches.  

Since we are dealing with a SEMI-CIRCLE, we divide that by 2 and get:

14.137166925  square inches which rounds to about

14.14 square inches

Step-by-step explanation:

Answer:

5n/2 - b =a

Step-by-step explanation:

5n/2 = (a + b)

subtract b from both sides

5n/2 - b = a