Tickets to the school dance cost $3.00 in advance or $5.00 at the
door. There were a total of 184 tickets sold, raising $688. How many tickets
were sold at the door?

Answer:

The slope is 0.

Step-by-step explanation:

m= (y2-y1)/(x2-x1).

y2 is -3, y1 is -3.

x2 is 1 and x1 is -9.

m= -3 -(-3)/ 1- (-9)

m= 0/10

m=0

The slope of the line that passes through the points (-9, -3) and (1, -3) is 0 because the y-coordinates of both points are the same and this results in a 'change in y' of 0.

In mathematics, the slope of a line passing through two given points can be calculated by the formula: (y2 - y1) / (x2 - x1). Where y2 and y1 represent the y-coordinates of the two points and x2 and x1 represent the x-coordinates of the two points. However, in this particular case, we see that the y-coordinates of both points (-9, -3) and (1, -3) are the same as -3.

This means our 'change in y', or (y2 - y1), is equal to zero (-3 - -3 = 0). Any fraction with 0 as the numerator (0 divided by any number) is itself equal to 0. Therefore, the slope of the line that passes through the points (-9, -3) and (1, -3) is 0.

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Answer:

The volume of the cylinder is 62.8 cubic units.

Step-by-step explanation:

The volume of a cylinder is given by the following formula:

volume = (base area)*h

base area = pi*r²

volume = pi*r²*h

In order to solve this problem we need to apply the data given to the formula above as shown below:

volume = 3.14*(2)²*5 = 3.14*4*5

volume = 62.8 cubic units

The volume of the cylinder is 62.8 cubic units.

Answer:

The correct answer is option (b) 62.8 cubic units

Step-by-step explanation:

Solution

Recall that,

A right cylinder has a radius of = 2 units

Height of  = 5 units

Now,

We define the volume of a cylinder, which is represented below.

Recall that,

A right cylinder has a radius of = 2 units

Height of  = 5 units

Now,

We define the volume of a cylinder, which is represented below.

Volume of the cylinder is defined as  = base * height

The base=Pi*radius*radius,  or π* r

Where,

The base=3.1416*2*2,

The height=5

Thus,

The Volume=3.1416*2*2*5

Volume =62.8 cubic units.

Therefore the volume of the cylinder is 62.8 cubic units.of the cylinder is = base * height

The base=Pi*radius*radius,  or π* r

Where,

The base=3.1416*2*2 ,

The  height=5

Thus,

The Volume=3.1416*2*2*5

Volume =62.8 cubic units.

Therefore the volume of the cylinder is 62.8 cubic units.

Answer:

14.14 inches squared

Step-by-step explanation:

We basically just want to find the area of one slice of pizza.

We know that the whole pizza was 12 inches across, which means its diameter was 12. Radius is 1/2 of the diameter, so r = 12/2 = 6 inches.

The area of a circle (the pizza, I assume, was circular) is: [tex]A=\pi r^2[/tex], where r is the radius. Here, r = 6, so:

[tex]A=\pi r^2[/tex]

[tex]A=\pi *6^2=36\pi[/tex]

But this is the area of the entire pizza. We need to divide it by 8:

[tex]36\pi /8[/tex] ≈ 14.14 inches squared

Hope this helps!

Answer:

14.13 in²

Step-by-step explanation:

Diameter: 12 inches

Radius: 12/2 = 6 inches

Area of the entire pizza:

pi × r²

3.15 × 6²

113.04 in²

Area of each slice:

113.04/8

14.13 in²

Answer:

The correct option is;

C 90°

Step-by-step explanation:

Here we have;

Angle V = 90°

Whereby, YX and WX are tangents, and YV and WV are radii then ;

Angle Y = 90° and

Angle  W = 90°

Therefore we have sum of angles V, Y, W and X given by the following relation;

V + Y + W + X = 360° (Sum of interior angles of a polygon angle)

Therefore;

90° + 90° + 90° + X = 360°

270° + X = 360

X = 360° - 270° = 90°

Hence the correct option is X = 90°.

Answer:

Correct answer is C

Answer: he should deposit $5000

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the amount of money deposited.

P represents the principal or amount of money deposited.

R represents interest rate on the deposit.

T represents the duration of the deposit in years.

From the information given,

I = $160

R = 1.6%

T = 2 years

Therefore,

160 = (P × 1.6 × 2)/100

160 = 0.032P

P = 160/0.032

P = $5000

Answer:

The answer is kite.

Step-by-step explanation:

Well, just looking at the definition of a kite, we can see that it lines up with Mr. Tesoro's description and drawing of the quadrilateral. A kite has one right angle that meets up witht two equal lines. The opposite pair of lines, that are much longer, don't meet up to be a right angle. The definitions line up, so there's your match; the anser is kite.

Answer:

One-half (3) (12) (one-third)

Step-by-step explanation:

Area of a triangle bus expressed as shown.

Area of a triangle = 1/2bh

B is the base

H is the height

Given base = 12 1/3xm

Height =3cm

Area =>1/2 (3) 12(1/3)

Area = One-half (3) (12) (one-third)

Answer:

One-half (12 and one-third) (3) option D/ the last one

Step-by-step explanation:

I took it and got it right on e2020

Answer:

4

Step-by-step explanation:

Because 3×4=12

Answer:

4

Step-by-step explanation:

Simply divide 12 dollars into 3 dollars and you should get 4 :D

Answer:

Step-by-step explanation:

Probability is basically the chance of something happening.

For example:

If you flip a coin there is a 1/2 chance to get heads and a 1/2 chance to get tails. If you were asked to find the probability of getting 3 tails in a row, you would multiply the fraction 1/2 3 times. Thus giving you 1/8.

Final answer:

Probability is the chance of an event occurring, calculated by dividing the number of ways an event can occur by the total number of possible outcomes. Karl Pearson's coin toss experiment demonstrates the law of large numbers, where the outcome over many trials approaches theoretical probability. To solve probability problems, understanding the question and systematically applying probability rules is essential.

Explanation:

Probability is a concept in mathematics that measures the likelihood of an event happening. It is calculated by dividing the number of ways an event can occur by the total number of possible outcomes. For example, when flipping a coin, there are two possible outcomes: heads or tails. Since these outcomes are equally likely, the probability of getting heads is 1 divided by 2, or 50%. This is known as theoretical probability.

Karl Pearson's experiment, where he flipped a coin 24,000 times, illustrates the law of large numbers, showing that the more times a random event is repeated, the closer the experimental results will come to the expected theoretical probability. In Pearson's case, he got heads 12,012 times, which is very close to the expected 50%, demonstrating that the probability predicts the outcome over a large number of trials, even though individual results may vary.

The relative frequency of an event is calculated by dividing the number of times the event occurs by the total number of trials. The example of Pearson's coin toss shows that the relative frequency (.5005) closely aligns with the theoretical probability (.5) when a large number of trials are conducted.

Systematic approaches to solving probability problems often involve reading the problem carefully, understanding the terminology, and using a clear process to calculate the probability. This could include determining the sample space, identifying the desired event, and calculating conditional probabilities if necessary.

To carry out probability calculations, it is essential to be able to express both the certainty and the variability of outcomes. In the case of rolling a die, while we may not predict with certainty which number will appear on any single roll, over a large number of rolls, the probability of rolling any given number, such as a three, is 1/6.

Answer:

-2 < x < -1

Step-by-step explanation:

Answer:

Is not a possible solution

Because the number of hours can not be negative

Step-by-step explanation:

Let

x------> the number of hours in the dog walking job

y----->  the number of hours in the sales job

we know that

-----> inequality A

------> inequality B

Remember that

If a ordered pair is a solution of the system of inequalities

then

the ordered pair must satisfy both inequalities

we have

------> Is not a possible solution

Because the number of hours can not be negative

Final answer:

Yes, (-3, 50) is a possible solution

Explanation:

The given system of inequalities is:

x + y < 60

7x + 12y > 450

To check if the solution (-3, 50) is possible, we substitute the values of x and y into the inequalities and check if the inequalities are true.

For the first inequality: (-3) + 50 < 60

47 < 60. This inequality is true.

For the second inequality: 7(-3) + 12(50) > 450

-21 + 600 > 450

579 > 450. This inequality is also true.

Since both inequalities are true when x = -3 and y = 50, we can conclude that (-3, 50) is a possible solution.

Answer:

13664 square feet

Step-by-step explanation:

Width of the Building=56 feet

Let the length of the building=L

Area of the building = LW=56L

A=56L

Available Perimeter for Fencing= 544 feet

Since we are using the side of the building as one part,

Perimeter = 2L+56=544

2L=544-56=488

L=244 feet

The area of the largest region that can be enclosed using theses requirements is given as:

Area = 244 X 56 =13664 square feet

To find the area of the largest region that can be enclosed with 544 feet of fencing alongside a 56-foot wide building, one sets up an equation for the fencing and solves for the width of the enclosure. The widest possible enclosure has a width of 244 feet, leading to a maximum area of 13,664 square feet.

To find the area of the largest rectangular region that can be constructed using the side of a building and a given amount of fencing, one must use the perimeter formula for a rectangle. Let's designate the widths of the rectangle that are not attached to the building as x, and the length that is attached to the building as 56 feet. Since two of the widths and one length will be enclosed by the fence, the total fencing used will be 2x + 56 feet.

Given that there are 544 feet of fencing available, we can set up the following equation:

2x + 56 = 544

Solving for x gives the width of the two sides not attached to the building:

2x = 488

x = 244 feet

The largest enclosed area will then be obtained by multiplying the length (alongside the building) by the width (the calculated x):

Area = 56 feet × 244 feet = 13664 square feet.

This calculation provides the largest possible rectangular area that can be enclosed with the given fencing, using the building as one side of the enclosure.

Answer:

130, 131, 132, 133

Step-by-step explanation:

Let the first page numbe be x, the next x+1, x+2, x+3

The sum of the first two will be x+x+1=2x+1

The sum of the last two will be x+2+x+3=2x+5

Product will be (2x+1)(2x+5)

Since the product equals 69165

(2x+1)(2x+5)=69165

[tex]4x^{2}+10x+2x+5=69165\\4x^{2}+12x+5=69165\\4x^{2}+12x-69160=0\\x^{2}+3x17290\\(x-130)((x+130)=0\\x=130, -133[/tex]

Therefore, x=130

Next pages are 131, 132, 133

Graph of the function h(x)= 6(4/3)ˣ will be a positive exponential.

A mathematical function with the formula f (x) = eˣ is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, which equates to about, is the exponential-function basis that is most frequently encountered.

One of the key mathematical operations is the exponential function (though it would have to admit that the linear function ranks even higher in importance). We allow the exponent to be the independent variable to create an exponential function.

The exponential function increases quickly, as shown in the graph of f above. The simplest kinds of dynamical systems have solutions in the form of exponential functions. For instance, straightforward models of bacterial development produce an exponential function.

Growth or decay can both be described by an exponential function. The function h(x)= 6(4/3)ˣ

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Answer:

7/13

Step-by-step explanation:

To determine which answer choice is closest to 1/2, we can subtract 1/2 from each answer choice. The difference that is closest to zero will indicate the fraction that is closest to 1/2. Since 1/26 is closest to zero, 7/13 is closest to 1/2.

Answer:

4/2

THATS ITTT

Answer:

75 square units

Step-by-step explanation:

The area of the trapezoid is 75 sq.units.

A quadrilateral is a polygon with four sides.

It is of various types,

Trapezoid, which have one pair of parallel sides,

Parallelogram, it has two pairs of parallel sides,

Rhombus, it has all sides equal,

Rectangle, opposite sides are parallel and equal, and,

Square, all sides are equal and opposite sides are parallel, and all angles have measure of 90 degree.

The quadrilateral ABCD with lengths of three of its sides is 16, 6, and 14.

The height of the quadrilateral is 5.

The area of the quadrilateral has been asked to determine using the formula,

A = (1/2) h ( b1 + b2)

The parallel sides are 14 and 16, so b1 = 14 and b2 = 16, h = 5

The area is determined using the formula

A = (1/2) * 5 * ( 14+16)

A =  (1/2) * 5 * ( 30 )

A = 75 sq.units

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Answer:

lol i need

Step-by-step explanation:

ez calps plue

Answer:

14/27

Step-by-step explanation:

let me know if this is right

Answer:

The salesman sold 56 large appliances.

Step-by-step explanation:

$57,400 - $35,000 = $22,400

He made $22,400 off the appliances.

To find how many appliances, you can divide 22,400 by 400.

The equation should be ($57,400 - $35,000)/400 = x

Here x represents the amount of large appliances sold. If you run the equation, the answer you should get is 56.

The salesperson vended 56 large appliances this time. The equation used to break this problem is

35,000$ 400x = $ 57,400, with' x' representing the number of appliances vended.

To determine how numerous large appliances the salesman vended, we can set up an equation grounded on the given information. Let's denote the number of large appliances he vended as x. The total earnings from these deals would be$ 400 times x. His periodic payment is$ 35,000, so the total quantum he made in the time, including his payment and the earnings from deals, is$ 57,400. thus, the equation to represent this situation is

$ 35,000$ 400x = $ 57,400

To break for x, we abate$ 35,000 from both sides

$ 400x = $ 57,400-$ 35,000

$ 400x = $ 22,400

Now, we divide both sides by$ 400 to find the number of appliances

x = $ 22,400/$ 400

x = 56

The salesperson vended 56 large appliances.

Check Plagiarism Check Grammar

Answer:

1 hour 20 minutes

Step-by-step explanation:

The play started at 2:35 PM.

After the play, Jamie talked to her friend for 15 mins and then left the theater at 4:10 PM.

She started talking to her friend once the play was over, hence, to find the time she started talking, we subtract 15 mins from 4:10 PM:

  H     M

  04 : 10

-  00 : 15

  03 : 55

She started talking around 3:55 PM.

Hence, to find how long the play lasted:

   H    M

  03 : 55

- 02 : 35

  01 : 20

Hence, the play lasted for 1 hour 20 minutes.

Answer:

y = a(x - h)^2 + k (please give branliest)

Step-by-step explanation:

(h,k) are coordinates of a point on the parabola

this is derived by ax^2 + bx + c

The formula to find the vertex of a parabola is x = -b/(2a) and y = f(x). The vertex of a parabola is represented by the coordinates (x, y).

The formula to find the vertex of a parabola is x = -b/(2a) and y = f(x). In the equation of a parabola y = ax² + bx + c, the vertex can be found by substituting the x-coordinate from the formula into the equation to get the y-coordinate. So, the vertex of a parabola is represented by the coordinates (x, y).

Answer:

209

Step-by-step explanation:

837-628

Answer:

1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x+24+13=2x−16

x+ 1 2 + 1 3 =2x+ −1 6

(x)+( 1 2 + 1 3 )=2x+ −1 6 (Combine Like Terms)

x+ 5 6 =2x+ −1 6

x+ 5 6 =2x+ −1 6

Step 2: Subtract 2x from both sides.

x+ 5 6 −2x=2x+ −1 6 −2x

−x+ 5 6 = −1 6

Step 3: Subtract 5/6 from both sides.

−x+ 5 6 − 5 6 = −1 6 − 5 6

−x=−1

Step 4: Divide both sides by -1.

−x −1 = −1 −1

x=1

Answer:

The answer to your question is x = 1

Step-by-step explanation:

Data

Equation                                        x + 2/4 + 1/3 = 2x - 1/6

-Subtract 2x in both sides           x + 2/4 + 1/3 -2x = 2x - 2x -1/6

-Simplify                                        - x + 2/4 + 1/3 = -1/6

-Subtract 2/4 and 1/3 in both sides -x + 2/4 - 2/4 + 1/3 - 1/3 = -1/6 - 2/4 - 1/3

-Simplify                                         -x = -1/6 - 2/4 - 1/3

                                                      -x = (-2 - 6 - 4)/12

                                                     -x = -12/12

                                                     -x = -1

-Result                                           x = 1

Answer:124

Step-by-step explanation:

12400/100=124

To stock 12,400 books with each bookshelf holding 100 books, 124 bookshelves are required.

To determine how many bookshelves are needed for 12,400 books, where each shelf holds 100 books, we perform a simple division:

Number of bookshelves = Total number of books ÷ Books per bookshelf

Number of bookshelves = 12,400 books ÷ 100 books per shelf

Number of bookshelves = 124 shelves

Therefore, 124 bookshelves are needed to stock 12,400 books.

The initial amount of slushy in the cup is 600 mm.

A linear equation has the following form:

y = mx + b

where y and x are variables, m represents the rate of change, and b represents the initial value of y.

Let y be the amount of slushy remaining in the cup (in milliliters) and x the time (in seconds).

The y intercept on the graph is 600.

As a result, the initial amount of slushy in the cup is 600 mm.

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The following question may be like this:

Sean drank a slushy as fast as he could.

The amount of slushy left in the cup (in milliliters) as a function of time (in seconds) is graphed. How much slushy was initially in the cup? ​

To find the distance between the ranger station and the fire, we can use trigonometry and the angle of depression.

To solve this problem, we can use trigonometry. Let's call the distance from the ranger station to the fire 'x'.

Using the angle of depression of 35°, we can set up the trigonometric equation:

tan(35°) = (height of the ranger station) / x

Plugging in the known values, we get:

tan(35°) = 100 / x

To find 'x', we can rearrange the equation:

x = 100 / tan(35°)

Using a calculator, we can find:

x ≈ 100 / 0.7002

x ≈ 142.811 feet

Therefore, the ranger station is approximately 142.811 feet away from the fire.

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Final Answer:

The ranger station is approximately 142.8 feet away from the fire horizontally.

Explanation:

To find how far the ranger station is from the fire, we can use trigonometry. The ranger is 100 feet above ground, and the angle of depression from the station to the fire is 35 degrees.

Here's how you solve the problem step by step:
1. Imagine a right triangle where the ranger station is at the top, the fire is at the right angle (on the ground), and the line of sight from the ranger makes the hypotenuse.

2. The angle of depression is measured from the horizontal down to the line of sight. However, because alternate interior angles formed by a transversal with two parallel lines are congruent, the angle of depression from the ranger's horizontal line of sight to the fire is equal to the angle of elevation from the ground up to the ranger's line of sight. Therefore, the angle at the bottom of the triangle (the fire's location) is also 35 degrees.

3. We are dealing with the opposite side (the height of the station, 100 feet) and the adjacent side (the distance from the base of the station to the fire, which we want to find). For such problems, we use the tangent function, which relates the opposite to the adjacent side in a right triangle:

  [tex]\(\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}\)[/tex]

4. Plug in the known values:

 [tex]\(\tan(35^\circ) = \frac{100 \text{ feet}}{\text{distance to fire}}\)[/tex]

5. We want to solve for the distance to the fire, so we rearrange the equation:

  [tex]\(\text{distance to fire} = \frac{100 \text{ feet}}{\tan(35^\circ)}\)[/tex]

6. To find the distance to the fire, calculate [tex]\(\frac{100 \text{ feet}}{\tan(35^\circ)}\)[/tex]. You need to ensure you're working in degrees if using a calculator.

Let's do the math using an approximation for [tex]\(\tan(35^\circ)\)[/tex] (which is roughly 0.7002):
 [tex]\(\text{distance to fire} = \frac{100 \text{ feet}}{0.7002}\\\\ \(\text{distance to fire} = 142.8 \text{ feet}\)[/tex]
Hence, the ranger station is approximately 142.8 feet away from the fire horizontally.

Answer:

Karina must score atleast 92 on the fifth test to get a average of atleast 84.

Step-by-step explanation:

We are given the following in the question:

84, 86, 90, 68

We want the average score to be atleast 84.

Let x be the score on fifth test.

Formula:

[tex]Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}[/tex]

Thus, we can write the equation:

[tex]\dfrac{84+86+90+68+x}{5}\geq 84\\\\\Rightarrow 84+86+90+68+x \geq 420\\\Rightarrow 328+x \geq 420\\\Rightarrow x \geq 92[/tex]

Thus, Karina must score atleast 92 on the fifth test to get a average of atleast 84.

Answer:

x = -3

Step-by-step explanation:

simplify

3(x - 4) = -21

3x - 12 = -21

3x = = -9

x = -3

Answer:

$7,200

Step-by-step explanation:

r=p × n

where

r=revenue

p = price per item

n = number of items sold

A change in price changes quantity ( number sold)

Variable x changes with price, then

Let

p+x=a dollar price increase

p-x= a dollar price decrease

n+x= an increase in quantity sold

n-x= a decrease in quantity sold

Therefore,

A $2 dollar increase in price=p+2x

2 decrease in room quantity sold= n-2x

Substituting in the above equation

r=(p+2x)*(n-2x)

P=$60

n=180

Then

r=(60+2x)*(180-2x)

r=10,800-120x+360x-4x^2

r=-4x^2-240x+10,800

Solve the quadratic equation

The maximum value of x in the vertex = - b/2*a

Where

b=240

a=-4

Value of x=-240/2*(-4)

X=30

r=-4x^2-240x+10,800

=-4(30)^2-240(30)+10,800

=-4(900)-7200+10,800

=3,600-7200+10800

=$7,200

The rate that maximises revenue=$7,200

Answer:

The rate that maximizes revenue is $14,000

Step-by-step explanation:

First of all, you should know that the income equation is:

R = p * n

where:

On the other hand, if p + x means a price increase, while n - x means a decrease in the number of an item sold.

In this case, reference is made to rooms, where 60 + 2x is the increased price and 180-2x is the decrease in rooms for rent.

So:

R=(60+2x)*(180-2x)

Expressing this in another way, applying distributive property:

R=60*180+60*(-2)x+2x*180+2x*(-2)x

R=10,800+240x-4x² equation (A)

This is a quadratic equation that is graphically represented by a parabola. If a, the coefficient that accompanies the term x², has a positive value, the parabola will be oriented upwards. On the contrary, if a has a negative value, the parabola will be oriented downwards. In this case, the value of a is -4, with the parabola facing down. The vertex is a point that is part of the parabola, which has the value as ordered minimum or maximum function. In this case, since the parabola faces downward, the vertex will be its maximum value.

The value of x in the vertex is [tex]-\frac{b}{2*a}[/tex]. In this case:

Replacing:

[tex]x=-\frac{240}{2*(-4)}[/tex]

Solving:

x=40

To find the rate that maximizes income you simply replace this value in equation (A)

R=10,800+240*40-4*(40)²

R=14,000

The rate that maximizes revenue is $14,000