If 9% of a number equals 5, find 36% of that number.

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:

0.99+10=10.99

Step-by-step explanation:

Answer:

the answer is 2

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

1/10 + 3/5

1/10 + 6/10

7/10

Please find attachment for full question Answer:

1. Stays same

2. Decrease

3. Stays same

4. Decrease

Explanation:

Please find attachment

Answer:

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

hope it helps

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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:

A. True

Step-by-step explanation:

congruent- in agreement or harmony

both triangles are the same

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: 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:

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:

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: Rational number.

Step-by-step explanation:

Rational numbers:

Any number which can be expressed in the form of p/q.

Where q is not equal to Zero.

p,q are integers.

Here in 2/4 ,

p=2

q=4

Answer:  Rational

Step-by-step explanation:

A rational number is an integer divided by an integer where the result is a terminating or repeating decimal.

2 x 2 = 4    --> 4 is terminating  so it is a rational number.

If you are in a higher level math class, the reason is:

Rationals are CLOSED over multiplication.

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)

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:

Irrational

Step-by-step explanation:

Answer:

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

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

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:

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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:

a^2+B^2=c^2

Step-by-step explanation:

Step-by-step explanation:

(Hyp)² = (Base)² + (Height)²

C² = a² + b²

C= √a²+b²

This is the formula to find Hypotenuse of a right angled triangle

Answer:

5n/2 - b =a

Step-by-step explanation:

5n/2 = (a + b)

subtract b from both sides

5n/2 - b = a

Answer:

20 songs

Step-by-step explanation:

Robyn sang a total of 13 songs for a population of 62000 people, the per capita is the ratio of the total songs sang to the total number of people. Hence:

Robyn per capita = songs performed / population = 13 / 62000

Beyonce sang to a population of 91000 people, given that Beyonce and Robyn had the same per capita, therefore:

Beyonce per capita = songs performed / population

13/62000 = songs performed / 91000

songs performed = 13/62000 × 91000 = 19.08

songs performed ≈ 20 songs

Beyonce is expected to sing about 20 songs

Answer:

Around 20

You can use the Distributive property-

To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

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:

266 1/4th. I hope this helped, and I would appreciate it if you gave it a good rating. :)

Step-by-step explanation:

1,065 ÷ 4 = 266 and remainder = 1 =>

1,065 = 266 × 4 + 1 =

1,065/4 =

(266 × 4 + 1) / 4 =

266 + 1/4 =

266 1/4

The required division is given as 4260 / 10 = 426.

Given that,
The solution to the division problem writtren as a mixed number is 10x426=4260

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here.
10 * 426 = 4260
4260  / 10 = 426
Dividend / divisor = quotient,

Thus, the required division is given as 4260 / 10 = 426.

Learn more about arithmetic here:

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Answer:

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

Step-by-step explanation :0

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]

The Answer Is x=-2

Hope This Help's

Answer:

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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]