What is the Pythagorean Theorem? Provide the equation and an explanation as to what it means.

Answer:

17/33

Step-by-step explanation:

The repeating decimal [tex]$0.\overline{51}$[/tex] is equal to [tex]$\boxed{\frac{17}{33}}$[/tex].

A fraction is a component of a whole. Mathematically, the number is expressed as a quotient, where the numerator and denominator are divided. In a simple fraction, both are integers. In a complex fraction, a fraction can be found in either the numerator or the denominator. A suitable fraction has a numerator that is smaller than its denominator.

Let [tex]$x = 0.\overline{51}$[/tex]. Multiplying both sides of this equation by 100 gives,

[tex]$100x = 51.\overline{51}\\[/tex]. Subtracting the first equation from the second equation eliminates the repeating decimal,

giving:

[tex]\begin1100x - x &= 51.\overline{51} - 0.\overline{51}\\ \99x &= 51 \\\ \\end[/tex]

x = 51/99

Therefore, the repeating decimal [tex]$0.\overline{51}$[/tex] is equal to [tex]$\boxed{\frac{17}{33}}$[/tex].

Learn more about fractions here:

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Answer:

x < 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-2x > -12

Step 2: Solve for x

Here we see that any value x smaller than 6 would work as a solution to the inequality.

Answer:

x < 6

Step-by-step explanation:

Hello!

We can solve inequalities the same way as we solve equations. The most important rule is that when you divide or multiply both sides by a negative number, flip the sign.

The solution set for x is all values less than 6.

Answer:

8 + 2t

In five years, 18 feet

Answer:

8 + 2(t)

Step-by-step explanation:

8 is the initial height of the tree, and 2 represents the growth per year, and each year is calculating by represnting each year as (t), so

ex.

2 years pass

8 + 2(2) = 8 + 4 = 12ft

2ft per year, 2 years = 4

Answer:

I think #2

Step-by-step explanation:

Answer:

A = 80   S =70

Step-by-step explanation:

#Adults tickets = A

#Students tickets = S

A + S = 150

5A (means the price is $5 times the number of Adult tickets) equals the total amount for all of the Adult tickets altogether

3S (means the price is $3 times the number of Student tickets) equals the total amount for all of the students tickets altogether

5A + 3S = 610    (Means adding the total of all the student tickets plus adult tickets will equal $610 for all tickets sold)

Using both equations now, you can use substitution or elimination to solve for one of the variables. Then you can use the variable to substitute to solve the remaining one.

A + S = 150

5A + 3S = 610

Substitution:

A = 150 - S  (Rearrange the first equation by moving S to the other side)

Substitute into the other equation

5 (150 - S) + 3S = 610

750 - 5S + 3S = 610      Combine like terms :    -2S = -140

Solve for S = 70

Substitute into A + S = 150        A + (70) = 150

A = 80

Answer:

11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x

12) -6x^2 + (-6) x^3  = -6.x.x + (-6).x.x.x

13) 5x - 8x = 5.x -8.x

Step-by-step explanation:

Let us solve the question one by one.

11) 6x^2+ 6x^3

In order to convert the polynomial in the factored form, we see which factors are common in all terms in the polynomial.

[tex]6x^2 = 6.x.x\\6x^3 =6.x.x.x[/tex]

The factored form is:

[tex]= 6.x.x+6.x.x.x[/tex]

12) -6x^2 + (-6) x^3

Similarly, as 11

[tex]-6x 2 =-6.x.x\\-6x^3=-6.x.x.x[/tex]

The factored form is:

[tex]=-6.x.x+ (-6).x.x.x[/tex]

13) 5x - 8x

We can clearly see that there is only one common factor in both terms which is x

[tex]5x = 5.x\\8x = 8.x[/tex]

The factored form is:

[tex]=5.x-8.x[/tex]

Hence,

11) 6x^2+ 6x^3 = 6.x.x+6.x.x.x

12) -6x^2 + (-6) x^3  = -6.x.x + (-6).x.x.x

13) 5x - 8x = 5.x -8.x

Answer:

length= 710 width= 420

Step-by-step explanation:

As we consider a rectangle we can replace "length" with l and "width" with w so that the perimeter will be:

2l+2w= 2260

With the length as:

l= w+290

The length, substituted into the perimeter is:

2(w+290)+2w=2260

Distribute:

4w+580=2260

Subtract:

4w=1680

Divide:

w=420

To find the length, take the width and add 290:

420+290=710

l=710

Answer:

Red

Step-by-step explanation:

Bc if you - 8x it would be -2y=12-8x and then you divide -2 by 12 and -8x the answer would be y=4x-6

Answer:

y = 4x - 6

Step-by-step explanation:

8x - 2y = 12

-2y = -8x + 12

-2y/-2 = -8x/-2 + 12/-2

y = 4x - 6

Answer:

Rotation turns a shape around a fixed point called the center of rotation. Rotation is an example of a transformation. A transformation is a way of changing the size or position of a shape.

hope this helps!!:)

Step-by-step explanation:

Answer:

1/18

Step-by-step explanation:

1 x 1 = 1

3 x 6 = 18

1/18

Answer:

the answer is b)3

Step-by-step explanation:

2=36

?(x)=54

2×54=36x

108/36=x

x=3

Answer:

C

Step-by-step explanation:

Yeyeyeeyeyeyeeyeeypok2kd

Answer:

16

Step-by-step explanation:

according to the question

5x-7=8x-55

8x-5x=-7+55

3x=48

x=48/3

x=16

Answer:

4684.5

Step-by-step explanation:

6000 * (1 - 6%)4 = 4684.5 (1.d.p)

Answer:

29568

Step-by-step explanation:

Given that:

Length of road = 2 miles

Number of people who can fit in a area of 5 feet by 5 feet = 14

To find:

Number of people that can fit in the road of the given dimensions.

Solution:

Given that one side 2 miles wide and 5 feet deep.

First of all, we need to find number of 5 feet by 5 feet block that can be made in the given dimensions.

2 miles = 10560 feet

Number of blocks = [tex]\frac{10560}{5}[/tex] = 2112

Number of persons that can fit in one block = 14

Number of persons that can fit in 2112 blocks = 14 [tex]\times[/tex] 2112 = 29568

Therefore, the answer is: 29568

Answer:

The expressions for each statement are as follows:

a: 2500+(0.10*2500)

b: 40 * 0.85

c: 250 + (0.075*250)

Step-by-step explanation:

Part a:

Given

Salary = $2500

Percentage of raise = 10%

The new salary will be:

[tex]= 2500+ (10\%\ of\ 2500)\\=2500 + (0.10*2500)\\=2500+250\\=\$ 2750[/tex]

Part b:

Given

Total questions = 40

Percentage of correct answers = 85%

The required expression for correct answers is:

[tex]= 85\%\ of\ 40\\= 0.85*40\\=34[/tex]

Part c:

Given

Price of phone = $250

Percentage of sales tax = 7.5%

The required expression is:

[tex]Cost\ with\ sales\ tax = 250 + (7.5\%\ of\ 250) \\= 250 + (0.075*250)\\=250+18.75\\=268.75[/tex]

Hence,

The expressions for each statement are as follows:

a: 2500+(0.10*2500)

b: 40 * 0.85

c: 250 + (0.075*250)

i got the totally of 141.5

just add them all up to get 849

and divide them by how many numbers there are

which is 6

Answer:

9:00 pm, 4th November

Step-by-step explanation:

Since ;

Brisbane is 10 hours ahead of London

New York is 5 hours behind London

Then, Brisbane is (10 + 5)hours ahead of New York.

Then Brisbane is 15 hours ahead of New York

Time and Date Brisbane resident called New York = 12 Noon, 5th November

Time and Date in New York will be :

(12 Noon - 15 hours) = 9:00 pm, 4th November

Answer:

i       edgggg   g t   g        h tr  fe erfg bh  hnhy r hrh r    r t hth

Step-by-step explanation:

125 cm ans

may be it is helpful

Answer:

Step-by-step explanation:

100-65=35

y=35 % of 200=0.35×200=70

Answer:

[tex]\huge\boxed{a =\frac{s-t}{m-r}}[/tex]

Step-by-step explanation:

In order to convert an equation to solve for another variable, we need to algebraically manipulate the problem until we're left with a isolated on one side.

Step 1: Subtract [tex]t[/tex] from both sides

Step 2: Divide both sides by [tex]m- r[/tex]

Hope this helped!

Answer:

12 cups of sugar

Step-by-step explanation:

Total cups of sugar = x

Cookies = 1/2x

Big cake = 2 cups

Sugar left = 4 cups

x = 1/2x + 2 + 4

Collect like terms

x - 1/2x = 6

1/2x = 6

Divide both sides by 1/2

x = 6 ÷ 1/2

= 6 × 2/1

= 12/1

x = 12 cups of sugar

[tex] = > 8n+ 103 = 15n + 75 \\ [/tex]

[tex] = > 103 - 75 = 15n - 8n \\ [/tex]

[tex] = > 28 = 7n\\ [/tex]

[tex] = > n = \frac{28}{7} = 4 \\[/tex]

Answer:

x = 30.96

Step-by-step explanation:

tan θ = opposite / adjacent

tan θ = 12/20

tan θ = 0.6

[tex]tan^{-1}[/tex](0.6) = 30.96