Help ASAP! 25 Points! What theorem allows you to prove line f is parallel to line g? For what value of x is line f parallel to line g?

PLEASE FIND X FOR ME TOO :) Thank you if you help!

The debt per capita of Illinois is $11933, Indiana is $ 7601, Ohio is $ 7291 and Kentucky is $ 8687

Given to find the debt-per capita ratio

Let us convert them into dollars

1 billion dollars= 10^9 dollars

1 million= 10^6

State            Debt          Population                     Debt per capita

Illinois 151.67*10^9   12.71*10^6        (151.67*10^9) /(12.71*10^6)

                                                                    = $11933.12                          

Indiana    50.85*10^9     6.69*10^6       (50.85*10^9) /(6.69*10^6)    

                                                                      =$7600.90

Ohio 85.23*10^9  11.69*10^6        (85.23*10^9) /(11.69*10^6)

                                                                      =$7290.85

Kentucky  38.83*10^9  4.47*10^6        (38.83*10^9) /(4.47*10^6)

                                                                           =$ 8686.80

So, The debt per capita of Illinois is $11933, Indiana is $ 7601, Ohio is $ 7291 and Kentucky is $ 8687

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Answer:

its 2

Step-by-step explanation:

it goes as 5, 7, 4, 6, 3, 5, so the next number should be 2

because 5 6 7 is a pair

and 3 4 5 is a pair

so if you look at it like counting numbers then you'll see how i got the answer.

Answer:

use math away it helps out a lot

A total 44 pieces can be cut out through the material of stock.

The dimensions of the piece required,

length = 9''

breadth = 4''

thickness = 3/16''

The dimension the the available material pieces in the stock of first piece,

length = 48''

breadth = 12''

thickness = 3/16''

The dimension the the available material pieces in the stock of second piece,

length = 36''

breadth = 28''

thickness = 3/16''

Let say that N pieces can be obtained from these two pieces, So, by calculating area method,

Area of n small pieces = Area of the two stock pieces

N x (9'' x 4'') = (48'' x 12'') + (36'' x 28'')

N x 36''² = 576''² + 1008''²

N x 36''² = 1584''²

N = 1584''²/36''²

N = 44.

So, a total of 44 pieces can be cut out through the material of stock.

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Answer: 9.4

Step-by-step explanation:

a) 2 letters to church and 4 letters to union

b) $ 1000

A  statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given data:

Letter writing time for church = 2 hours

Follow up required for church = 1 hour

Letter writing time for labor union = 2 hours

Follow up required for labor union = 3 hour

Funds from church = $ 100

Funds from union = $ 200

now, let 'x' be the number of letters written to church

and let  'y' be the number of letters written to labor union

According to the given conditions

maximum timing for letter writing = 12 hours

So,

2x + 2y ≤ 12 hours

x + y ≤ 6 hours

Now, maximum time for follow up = 14 hours

1x + 3y ≤ 14 hours  

on solving the both the equations

    x +   y = 6

- ( 1x + 3y = 14 )

----------------------

0 - 2y = -8

y = 4 hours

and, x + 4 = 6

x = 2

Now,

money raised  = (2 × $ 100) + (4 × $ 200)

= $ 1000

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Answer:

totaAal cost is 18

Step-by-step explanation:

The inequality to  represent the equation is 4x>2x ₊ 6

Given,

Cindy is longboarding 6 miles ahead of Tamira.

Cindy is traveling at an average rate of 2 mph

cindy = 2x ₊ 6

Tamira is traveling at a rate of 4 mph.

Tamira = 4x

Tamira will be ahead of cindy so,

4x > 2x ₊ 6

hence we get the inequality as 4x > 2x ₊ 6

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Answer:

(-112) * (53) * (-3) = 17808

Answer:

-122 (53) (-3)= 19398

Step-by-step explanation:

hope this helps!

Answer: I believe it would take 9 13/800 (9.01625) hours.

Step-by-step explanation:

If you divide the 37 hours and 4 minutes by 185 assignments, you would get how many hours or minutes it would take to complete 1 assignment, then you multiply it by the 45 assignments, and there's your answer. :) Hope this helps.

Answer: n is 3

Step-by-step explanation: As you multiply 4 and 160 you'll end up with 640 then add n which then adds to 643. This indicates that n is 3.

65mph

130mph 3 fewer hours

130-65=65

3 hours 65mph difference

plane takes 6 hours to get there.

6*130=780

780 miles

Answer:

get 6 balloons, pink blue red x2

Step-by-step explanation:

pretty

Answer:

x > 20

Step-by-step explanation:

53 + x > 73

-53         -53

x > 20

Answer: 495

Step-by-step explanation: If the car traveled for 90 miles on 2 gallons of gas and we now have 11 gallons Divide 2÷11 = 5.5 or



90×5.5 = 495

The number of miles Aubrey's car can travel is 495 miles

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the distance traveled by Aubrey's car for 11 gallons be = A

Now , the equation will be

The distance traveled by Aubrey's car for 2 gallons = 90 miles

So ,

The distance traveled by Aubrey's car for 1 gallon = distance traveled by Aubrey's car for 2 gallons / 2

The distance traveled by Aubrey's car for 1 gallon = 90 / 2

The distance traveled by Aubrey's car for 1 gallon = 45 miles

So , the equation will be

The distance traveled by Aubrey's car for 11 gallons A = The distance traveled by Aubrey's car for 1 gallon x 11

The distance traveled by Aubrey's car for 11 gallons A = 45 x 11

The distance traveled by Aubrey's car for 11 gallons A = 495 miles

Therefore , the value of A is 495 miles

Hence , The number of miles Aubrey's car can travel is 495 miles

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Answer:

1.625

Step-by-step explanation:

1.5+0.125=1.625

Check the picture below.

The equation solved for b gives b = Y - mx

A subject of formula can be defined as the the variable that is written in terms of other variables in an equation or expression.

It is also known as the variable that is being sorted out in a given expression or equation.

Example;

To make a the subject from the equation;

ab + c = 1

Take the variable 'c' to the other side

ab = 1 - c

Divide both sides by b, we have;

a = 1 - c/b

Given the expression;

Y = mx + b

Take 'mx' over the equality sign

Y - mx = b

This is also written as;

b = Y - mx

Thus, the equation solved for b gives b = Y - mx

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[tex]\cfrac{34}{x}=\cfrac{x}{60}\implies 2040=x^2\implies \sqrt{2040}=x\implies \sqrt{2^2\cdot 510}=x\implies 2\sqrt{510}=x[/tex]

The solution is Option A.

The geometric mean of the two numbers 34 and 60 is A = 2√510

The geometric mean is given by the root of the product of the two numbers

Geometric Mean (GM) is the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values

Let the two numbers be a and b

The geometric mean between a and b is A = √ab

Given data ,

Let the equation be represented as A

Now , the value of A = geometric mean between the numbers

Let the first number be a

The value of a = 34

Let the second number be b

The value of b = 60

Now , the geometric mean between 34 and 60 is
A = √first number x second number

Substituting the values in the equation , we get

A = √34 x 60

A = √2040

A = √ ( 4 x 510 )

A = 2√510

Therefore , the value of A is 2√510

Hence , the geometric mean is 2√510

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Answer:

  (a)  1568 in³

  (b)  1728 in³

Step-by-step explanation:

You want to know the volume of the box that can be formed from the pattern shown, and the maximum volume that can be had by changing the 4-inch dimension.

The volume of the box is the product of its length, width, and height. The height of the box is shown as 4 inches.

The length is shown as the difference between 36 inches and twice the 4-inch dimension:

  length = 36 -2(4) = 28 . . . . inches

The width is shown as half the difference between 36 inches and twice the 4-inch dimension. That will make it be half the length.

  width = (1/2)(36 -2(4)) = 14 . . . . inches

Then the volume of the box from the pattern shown is ...

  V = LWH = (28 in)(14 in)(4 in) = 1568 in³

Using the above observations regarding dimensions, we can write the volume in terms of the height of the box (x) as ...

  height = x

  length = 36 -2x

  width = 18 -x

  volume = (x)(36 -2x)(18 -x) = 2x³ -72x² +648x

The maximum volume will be found at the value of x that makes the derivative of volume be zero:

  V' = 6x² -144x +648 = 0

  x² -24x +108 = 0 . . . . . . . . divide by 6

  (x -6)(x -18) = 0 . . . . . . . . factor

Values of x that make the derivative zero are x=6 and x=18. The original equation is a cubic with a positive leading coefficient, so we know these values correspond to a local maximum and a local minimum, respectively.

The largest volume possible is obtained with a corner cut of 6 inches. That volume is ....

  V = (6)(36 -2·6)(18 -6) = 6(24)(12) = 1728 . . . . cubic inches

The largest volume possible is 1728 in³.

Answer:

(2 (y - 2 x^2 + 5))

Step-by-step explanation:

Simplify the following:

2 y - x^2 - 3 x^2 + 10

Grouping like terms, 2 y - x^2 - 3 x^2 + 10 = 2 y + (-x^2 - 3 x^2) + 10:

2 y + (-x^2 - 3 x^2) + 10

-x^2 - 3 x^2 = -4 x^2:

2 y + -4 x^2 + 10

Factor 2 out of 2 y - 4 x^2 + 10:

Answer: (2 (y - 2 x^2 + 5))

Answer:

(2 (y - 2 x^2 + 5))

The additional revenue that Disneyland will get if admission is raised from $31 to $41.

= $60000.

An additional revenue stream is exactly what it sounds like – another option for you and your company to make money. It is supplemental income that you earn in addition to the main revenue stream that defines and mostly sustains your firm.

Revenue denotes income generated by business operations, whereas profit denotes net income after deducting expenses from earnings. Sales, fee income, and property income are all examples of revenue.

6,000 children

first cost = 31

second cost = 41

The cost was raised from 31 to 41 so the Disneyland will make 10 profit per children.

The additional revenue will Disneyland receive if it raises the cost of admission from $31 to $41:

6000 x 10

= $60000

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If  we want to choose 6 objects, without replacement, from 8 distinct objects then total number of ways are 20160 (8x7x6x5x4x3).We can use the concept of permutation to find number of ways.

The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply put, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations.

Combination and permutation are part of the accounting discipline's mathematical branch. Combinations are used in business decision-making to choose from among the available objects. In contrast, the arrangement of such objects that are chosen through combinations uses permutations.

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Equation (A) 3¹ can be correctly placed in Jeremy's work.

So, in the situation, Jeremy concludes: [tex]\sqrt{9}=9^{\frac{1}{2}}[/tex]

Therefore, (A) 3¹ is the equation that should be correctly placed in Jeremy's work.

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The complete question is given below:

Jeremy determines that √9= 9^1/2. Part of his work is shown

√9=3=3^1=3^1/2 + ^1/2=____=9^1/2

Which expression or equation should be placed in the blank to correctly complete Jeremy's work?

A: 3¹

B: (3^2)^1

C: 3^1/2 + 3^1/2

D: 3^1/2 x 3^1/2= (3x3)^1/2

E: 3^1/2 x 3^1/2= (3x3)^1/2+^1/2

Answer:

-5

Step-by-step explanation:

8 + x - 8 = 13 + 2x - 8

The 8 cancels on the left

x - 2x = 13 + 2x - 8 - 2x

The 2x cancels on the right

x - 2x = 13 - 8

Do the calculation to find

- x = 5

- x . (-1) = 5 . (-1)

Times by -1 to cancel the negative sign because you arises to find x and not -x

You finally get x = -5

Answer: You must have typed it wrong cause they can not equal each other

Step-by-step explanation:

8 + 1 does not equal 13 + 2

nor with two, three, four, and so on.

Answer:

105

Step-by-step explanation:

you do 35/2 to find how much 1 inch is which is 17.5 and multiply by 6

The amount of cash available for distribution to the partners is $46,000.

The amount of cash available for distribution to the partners is computed by summing the partners' capital balances.

From the scenario, Miguel owes the partnership $45,500.  Since Miguel has not brought in this amount, the cash available for now is $46,000.

If Miguel cannot bring in $45,500, it implies that the other two partners will share the loss in their income-sharing ratio before distributing the remaining cash.

Partners = Everett, Miguel, and Ramona

Income-sharing ratio = 1:2:3

Capital account balances:

Everett, $53,600 Cr.

Miguel, $45,500 Dr.

Ramona, $37,900 Cr.

Total = $46,000 CR

Thus, the amount of cash available for distribution to the partners is $46,000.

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The answer of the sum is BP = 4√2

To solve this particular sum we need to know about distance formula. IT is basically nothing but gives the length of the line segment . There are various types of distance formula:

The formula we are going to use in the sum is :

√{(x₂-x₁)² + (y₂-y₁)² }    [ the root is over full expression ]

Here in the given sum

(x₁,y₁)=(1,6)

(x₂,y₂)=(-3,10)

If we put the values of x₁ , x₂, y₁, y₂ in the above formula we get :

BP = √{(-3-1)² + (10-6)²}

√{(-4)²+4²}

√(16+16 )

√32

4√2

So the value of BP is 4√2

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