the town's population has increased for 80,000 to 90,000 in the past 10 years. what was the present increase.

Answer:

113.75

Step-by-step explanation:

13$ x 8.75 h (45 minutes is 3/4 of an hour) = $113.75

keeping in mind that an hour has 60 minutes, so you're really getting paid $13 per 60 minutes, so now, 8 hours and 45 minutes is just 8*60 + 45 = 525 minutes.

[tex]\begin{array}{ccll} \$&minutes\\ \cline{1-2} 13 & 60\\ x& 525 \end{array} \implies \cfrac{13}{x}~~=~~\cfrac{60}{525} \\\\\\ \cfrac{ 13 }{ x } ~~=~~ \cfrac{ 4 }{ 35 }\implies 455=4x\implies \cfrac{455}{4}=x\implies 113.75=x[/tex]

The value of the equation is A = ( 6x - 9y ) / ( 3 + 2y )

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 equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = ( 12x - 18y ) / ( 6 + 4y )

On simplifying the equation , we get

Taking the common factor as 6 in the numerator , we get

A = 6 ( 2x - 3y ) / ( 6 + 4y )

Taking the common factor as 2 in the denominator , we get

A = ( 6/2 ) ( 2x - 3y ) / ( 3 + 2y )

On further simplification , we get

A = 3 ( 2x - 3y ) / ( 3 + 2y )

A = ( 6x - 9y ) / ( 3 + 2y )

Hence , the equation is A = ( 6x - 9y ) / ( 3 + 2y )

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We need the angle AOD to find the x value

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Missed data: ABCD is a QUADRILATERAL

'O'  is a point in the middle joining OA,OB,OC and OD , find the angle AOD  which is x here

Adding 3 angles we get 11x+22,

Equation is :

11x+22 + AOD = 360

=> AOD = 360 - 22- 11x

     AOD= 338- 11x  

We need the angle AOD to find the x value

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Sally will have to pay $50.52 in sales tax when she buys the Sarow boat.

Sales tax is a percentage of the purchase price of an item that the buyer pays to the government.

In this scenario, we will discuss how to calculate the sales tax that Sally will have to pay when she purchases a Sarow boat for $842, with a tax rate of 6%.

When we say that the sales tax rate is 6%, it means that for every dollar Sally spends on the Sarow boat, she has to pay an additional 6 cents to the government as tax. To calculate the amount of tax Sally will pay, we need to multiply the purchase price of the boat by the tax rate.

The formula to calculate the amount of sales tax is:

Sales tax amount = Purchase price x Tax rate

Using the given values, we can plug them into the formula and solve for the tax amount:

Sales tax amount = $842 x 0.06

Sales tax amount = $50.52

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The way the altitude changes is  24,600 (0 minutes), 19,475 (5 minutes), 16,400 (8 minutes), 14,350(10 minutes), and 6,150 (30 minutes).

To calculate the change in the altitude, let's use the formula given:

0 minutes:

Y = - 1025 x 0+ 24,600

Y = 24,600

5 minutes:

Y = - 1025 x 5+ 24,600

Y = -5125 + 24, 600

Y = 19,475

8 minutes:

Y = - 1025 x 8+ 24,600

Y = -8200 + 24, 600

Y = 16,400

10 minutes:

Y = - 1025 x 10+ 24,600

Y = -10250 + 24, 600

Y = 14,350

30 minutes:

Y = - 1025 x 30+ 24,600

Y = -30,750 + 24, 600

Y = 6,150

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Answer:

$8812.50

Step-by-step explanation:

To calculate the simple interest earned on Mia's investment, we can use the formula:

I = Prt

where I is the interest earned, P is the principal amount invested, r is the interest rate as a decimal, and t is the time in years.

Plugging in the values, we have:

I = $7500 * 0.035 * 5

I = $1312.50

The total amount Mia has after 5 years is the sum of her original investment and the interest earned:

$7500 + $1312.50 = $8812.50

The straight line distance from the front seat to the back is approximately 69.7 feet.

Straight line distance refers to the shortest distance between two points in a straight line, as opposed to the distance that would be traveled along a curved path or following the contours of the terrain.

Let the distance from the front row to the back row be x.

Then, we can use the tangent function to find the height difference between the front and back rows:

tan(12°) = (height difference) / x

Solving for the height difference:

height difference = x * tan(12°)

The problem tells us that the height difference is 15 feet, so we can set up an equation:

15 = x * tan(12°)

Solving for x:

x = 15 / tan(12°) ≈ 69.7 feet

Therefore, the straight line distance from the front seat to the back is approximately 69.7 feet.

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The values of v w x y and z​ are given below:

<EDA= <EBA= 40°

==> x= 40°

This is because the circumferential arc of the same arc is equal.

<PAE= <ADE= 40°

=>v= 40°

This is based on the alternate segment theorem.

Because EC= EB, <ECB= <EBC= 80°

=> w= 80°

This is based on the properties of an isosceles triangle.

<ECB = <EAB = 80°

=> y= 80°

This is because the circumferential angle of the same arc are equal

Because <EBC = <ECB= 80°

=> <BEC = 180° -(80 x2)

= 20°

This is because the sum of the interior angles of the triangle is 180°

<AEB = 180°-y - <ABE

= 60°.

<AEC = <AEB + <BEC= 60° + 20°

=80°.

So <ADC = <AEC = 80°

=> = 80°

This is because the circumferential angle of the same arc are equal

Therefore,

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The solution of the equations y = 3x + 2 and - 4x + 2y = 8 by elimination method will be (2, 8).

An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.

The equations are given below.

y = 3x + 2

2y = 6x + 4

6x - 2y = - 4         ...1

- 4x + 2y = 8        ...2

Add both equations, then we have

6x - 4x = - 4 + 8

2x = 4

x = 2

Then the value of 'y' is given as,

y = 3(2) + 2

y = 6 + 2

y = 8

The solution of the equations y = 3x + 2 and - 4x + 2y = 8 by elimination method will be (2, 8).

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Yes, providing additional information affect responses to a survey question. The difference in the proportion of shoppers who admitted to texting and driving in the two groups is 0.2.

To calculate the difference in the proportion of shoppers who admitted to texting and driving in the two groups, we need to first determine the number of shoppers in each group who admitted to texting and driving.

Let's assume that in Group A, 10 shoppers admitted to texting and driving, while in Group B, 5 shoppers admitted to texting and driving.

Then, we can calculate the proportion of shoppers who admitted to texting and driving in each group by dividing the number of shoppers who admitted to texting and driving by the total number of shoppers in each group:

Proportion in Group A = 10/25 = 0.4

Proportion in Group B = 5/25 = 0.2

The difference in proportions is then:

Difference = Proportion in Group A - Proportion in Group B

Difference = 0.4 - 0.2

Difference = 0.2

Therefore, the difference in the proportion of shoppers who admitted to texting and driving in the two groups (A-B) is 0.2 or 20%.

This suggests that providing additional information about the potential consequences of texting and driving may reduce the proportion of people who admit to engaging in this behavior. However, it's important to note that this study has a small sample size and there may be other factors that influence people's responses to survey questions about texting and driving.

Correct Question :

Does providing additional information affect responses to a survey question? Two statistics students decided to investigate by asking different versions of a question about texting and driving. Fifty mall shoppers were divided into two groups of 25 at random. The first group was asked Version A and the other half were asked Version B. Version A: A lot of people text and drive. Are you one of them? Version B: About 6000 deaths occur per year due to texting and driving. Knowing the potential consequences, do you text and drive? Calculate the difference in the proportion of shoppers who admitted to texting and driving in the two groups (A-B).

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The volume of given triangular prism is 24,000 cubic yards.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Here, the dimensions of base are 30 yards and 20 yards.

Here, area = 1/2×30×20

= 300 yd²

Volume of a triangular prism = Area of base triangle × Length of the prism.

= 300×80

= 24,000 yd³

Therefore, the volume is 24,000 yd³.

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Option (D) Between 5.1 and 5.3 is the correct answer fore the question where 5.2 on the number line would be located.

On a number line, each number is represented by a point. The location of a number on a number line depends on whether it is greater than or less than other numbers.

In the case of 5.2, it is located between 5.1 and 5.3, as option D states. This is because 5.2 is greater than 5.1 but less than 5.3. Therefore, its location on the number line would be between the points representing 5.1 and 5.3.

A number line is a useful visual tool for understanding the relative position of numbers to each other, as well as for performing basic arithmetic operations. Option (D) Between 5.1 and 5.3 is the correct answer fore the question where 5.2 on the number line would be located.

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Answer:

Improper fraction: -31/30

Mixed number: -1   1/30

Step-by-step explanation:

If x = -5/6 and y = -2/5, we can start by replacing x and y in the equation x + 1/2y.

x+1/2y -> -5/6+1/2(-2/5)

Now we can start solving the equation:

According to the Order of Operations, we have to start with multiplication before addition. So, let's multiply 1/2 and -2/5. We get -2/10, which simplifies to -1/5.

Now we have to do the addition: -5/6+(-1/5)

To add fractions together, we have to find a common denominator. We can do this by finding the LCM of the two denominators(Least common multiple).

6: 6, 12, 18, 24, 30, 36...

5: 5, 10, 15, 20, 25, 30, 35...

The LCM is 30.

-5/6 x 5/5 = -25/30 <-- the equivalent fraction of -5/6

-1/5 x 6/6 = -6/30 <-- the equivalent fraction of -1/5

-25/30 + (-6/30) = -31/30

The answer is -31/30 in improper fraction form, and -1 1/30 in mixed number form.

Answer:

100

Step-by-step explanation:

I hate that I have to use 20 characterz

Answer:

f(-3) = 5

Step-by-step explanation:

f(-3) → x = -3

f(x) = -x+2

f(-3) = -(-3)+2

f(-3) = 3+2

f(-3) = 5

The probability that the sum of the two selected numbers is even is 1/2.

The parity of the two chosen numbers must match for the sum to be even.

Given this information, we can divide the larger problem into smaller ones. First, we may determine the likelihood that the first spinner will land on an even number.

Exists a [tex]$\frac{1}{2}$[/tex] chance that this happens, and a [tex]$\frac{1}{3}[/tex] there is a chance that the second spinner will also land on an even number, hence

[tex]$\frac{1}{2} \cdot \frac{1}{3} = \frac{1}{6}$[/tex]

There is a win if both the first and second spinners land on an odd number.

[tex]$\frac{1}{2} \cdot \frac{2}{3} = \frac{2}{6}$[/tex]

chance of this happening. Adding these two probabilities together, we get

[tex]\frac{1}{6} +\frac{2}{6} =\frac{3}{6} =\frac{1}{2}[/tex]

Therefore, The probability that the sum of the two selected numbers is even is 1/2.

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Step-by-step explanation:

Equation of ellipse depends on the points

The points that lie on the horizontal axis is (0,8) and (4,8). They have a distance of 4, therefore a radius of 2

The points that lie on the vertical axis is (2,3) and (2,13)

They have a distance of 10, therefore a radius of 5

Since the vertical axis is bigger, we have a vertical ellipse which is the equation of,

[tex] \frac{(y - k) {}^{2} }{ {a}^{2} } + \frac{(x - h) {}^{2} }{ {b}^{2} } = 1[/tex]

Where a is the major radius

b is the minor radius

(h,k) is the center

Step 1: Finding the center

The center should be the midpoint of the horizontal vertices or vertical vertices

Let's use the horizontal vertices

[tex] (\frac{(0 + 4}{2} ) = 2[/tex]

[tex]( \frac{8 + 8}{2} ) = 8[/tex]

So the center is (2,8)

Step 2: Finding the major and minor radius

We already know it , a is 5

b is 2, so we as of now, have this equation

[tex] \frac{(y -8) {}^{2} }{25} + \frac{(x - 2) {}^{2} }{4} = 1[/tex]

This is the equation of the ellisoe

Step 3: Find the foci

The foci for a vertical ellipse should lie on the same line as the same line as the major vertices and center.

The equation for an ellipse foci that is vertical are

(x,y+c) and (x,y-c)

Where C is

[tex]c = \sqrt{ {a}^{2} - {b}^{2} } [/tex]

[tex]c = \sqrt{25 - 4} [/tex]

[tex]c = \sqrt{21} [/tex]

So our foci are

,,,

[tex](2,8 + \sqrt{21} )[/tex]

and

[tex](2,8 - \sqrt{21} )[/tex]

,

It signifies the number of dogs that Bella feeds. The number of observations in dataset is an important characteristic that helps to determine the size of data and potential variability of data.

The table of the number of cups of dog food that each dog should be fed each day is a dataset that contains multiple observations. Each row in the table represents one observation for one dog, with information about the number of cups of dog food that the dog should be fed each day.

The number of observations in this data set is equal to the number of dogs that Bella will be feeding at the shelter. Each observation in the dataset represents a single unit of information, in this case, the number of cups of dog food that a particular dog should be fed.

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The approximate arc length of one slice of apple pie, when the diameter of the pie is ten inches, is option (c) - 5.24 inches.

We know that the apple pie is cut into 6 equal slices,

therefore,  Θ = 360/6 = 60° (for each slice of the apple pie)

then the diameter of the apple pie is, d = 10 inches

from the diameter we can find the radius, r = 10/2 inches = 5 inches

arc length = 0/360 × 2[tex]\pi[/tex]r

we put the values of r and [tex]\pi[/tex] into the equation, we get the following:

= 60/360 × [tex]2\pi[/tex] × 5

= 5.24 inches.

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Answer: x=3

Step-by-step explanation:

4x-3y=18

4x-3(-2)=18

4x+6=18

(4x=12)/4

x=3

Answer:

1 + 1 = 2

Step-by-step explanation:

you add one and add another one and together thetr is two. so you would have two left.

The quadratic equation that represents the parabola is y - 2 = - x².

In this problem we find a table representing a quadratic equation, whose definition can be found by using two points and the vertex form of the parabola equation:

Vertex form

y - k = C · (x - h)²

Where:

First, determine the coordinates of the vertex of the parabola by table:

(h, k) = (0, 2)

Second, find the vertex constant:

C = (y - k) / (x - h)²

C = (1 - 2) / (1 - 0)²

C = - 1

Third, write the equation of the parabola:

y - 2 = - x²

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The solution to this system of equations is (10, 50).

A graph of this system of equations is shown in the image attached below.

Based on the information provided above, one of the plan includes a membership fee of $10 and charges $4 for every DVD borrowed. Therefore, the total cost, y, can be represented by this equation:

y = 4x + 10    .......equation 1.

where:

x represents the number of DVDs borrowed in a month.

For the second plan, it costs $50 per month for unlimited DVD rentals. Therefore, the total cost, y, can be represented by this equation:

y = 50    ....equation 1.

By equating equation 1 and equation 2, we have the following:

4x + 10 = 50

4x = 50 - 10

4x = 40

x = 40/4

x = 10 DVDs.

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In the simplest terms, the expression for the difference between (-9x-7) and (-4x+4) is -5x - 11.

To find the difference between (-9x-7) and (-4x+4), we can subtract the second expression from the first expression and get: (-9x - 7) - (-4x + 4)

Simplifying the double negative, we get: (-9x - 7) + (4x - 4)

Next, we can combine like terms: -9x + 4x - 7 - 4

Simplifying this expression further down, we get: -5x - 11

Therefore, the expression that represents the difference between (-9x-7) and (-4x+4) in simplest terms is -5x - 11.

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Answer:

11

Step-by-step explanation:

Let's call the number of games of Balloon Bouncer that Amy played as "x".

Amy started with 35 tokens and used 2 for Roll-and-Score, so she had 35 - 2 = 33 tokens left.

Each game of Balloon Bouncer costs 3 tokens, so the total number of tokens used for Balloon Bouncer games is 3x.

Therefore, the equation to find the number of games Amy played is:

33 = 3x

Solving for x, we get:

x = 11

So Amy played 11 games of Balloon Bouncer.

Answer: 3g + 3 = 35

Step-by-step explanation:

slope found by rise over run or m = (y2 - y1) / (x2 - x1)

orientation is important to not mix either values order.

( 9 - 21) / ( -1 - 5) => ( -12 ) / ( - 6 )

negatives cancel and simplify to find

m = 2

The area of the trapezoid is A = 2285.47 units²

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

Let the area of the trapezoid be represented as A

Now , the value of A is

Let the height of the trapezium be h = 52.6

Let the length of the shorter base a = 39.1

Let the length of the longer base b = 47.8

Now , Area of Trapezoid = ( ( a + b ) h ) / 2

On simplifying , we get

Area of trapezoid A = ( ( 47.8 + 39.1 ) 52.6 ) / 2

Area of trapezoid A = ( 86.9 x 52.6 ) / 2

Area of trapezoid A = 4,570.94 / 2

Area of trapezoid A = 2285.47 units²

Hence , the area of the trapezoid is 2285.47 units²

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Answer:

99 square millimeters

Answer given by the other user is correct. Merely giving the steps required to solve such a problem

Step-by-step explanation:

Break up the figure into 3 rectangles as shown in the attached image

The area of the top rectangle with size 11 x 3 = 33 square millimeters

The area of the small rectangle is 2 x 5 = 10 square millimeters

The area of the vertical rectangle is 4 x 14 = 56  square millimeters

Total area = 33 + 10 + 56

= 99 square millimeters

Answer:

7

Step-by-step explanation:

We start doing the multiplication, and [tex]5 \cdot 5 = 25[/tex]. So we can rewrite it as [tex]25 + 67 - 85.[/tex] Now we work from left to right, where we calculate [tex]25 + 67 = 92[/tex]. Now the final step, [tex]92 - 85 = 7.[/tex] Therefore, the answer is [tex]\boxed{7.}[/tex]

Answer:

sry for being late the answer is 7……I did it in my head and double checked with a calculator. Go ahead and give the other person brainliest they did it first! Hope I helped to!!

Step-by-step explanation:

The number of each type of ticket sold in the following situation:

1. The tickets of $5.00  = 400

2. The tickets of $7.50 =  200

A linear equation is an algebraic equation in which the highest power of the variable is 1. In simple words, a linear equation is an equation in which the variables appear only in the first degree.

Linear equations can be written in the form:

y = mx + b

where y and x are variables, m is the slope (or rate of change), and b is the y-intercept (the point where the line crosses the y-axis).

Let x be the number of tickets sold before the day of the game and y be the number of tickets sold at the game.

Then we have:

x + y = 600 (the total number of tickets sold)

and

5x + 7.5y = 3500 (the total receipts from ticket sales)

To solve for x and y, we can use substitution.

Simplify and solve for y:

3000 - 5y + 7.5y = 3500,

2.5y = 500

y = 200

Substitute y = 200 back into the equation x + y = 600 to find x:

x + 200 = 600,

x = 400.

Therefore, 400 tickets were sold before the day of the game and 200 tickets were sold at the game.

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The complete question:

The number of each type of ticket sold in the following situation: Tickets to a football game cost $5.oo if purchased before the day of the game. They cost $7.50 if purchased at the game. For a particular game, 600 tickets were sold and the receipts were $3500. Find the number of tickets sold before the day of the game and the number of tickets sold at the day of the game?