Tonio works for a website that sells theater tickets and receives a base salary of $18,200 per year. He earns a commission of 2.3% for all ticket sales, which average $15,500 per week. He also gets a "viewed” fee of 3 cents each time someone comes to the website, whether or not any tickets are purchased. The number of visitors to the website averages 12,400 per month what is the total commission Tonio will earn this year. ​

Chocolate = 18%

Vanilla = 25%

Strawberry = 12%

Mint Chip = 10%

Other = 35%

The explanation for me getting these exact percentages is because of the formulas given for calculating the percentages from specific numbers and real world problems like this. When you are trying to find the calculation precentages of these types of questions, you divide the number by the total surveyed and multiple by 100.

Example:

125 / 500 = 0.25

0.25 x 100 = 25%

So, this is also how I got the other numbers, just change the "125" to the other numbers.

The experimental probability of each outcome in the sample space are:

P(chocolate) = 18%, P(strawberry) = 12%, P(vanilla ) = 25%, P(mint chip) = 10% and P(other) = 35%

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Flavor               Number of people

chocolate                  90

strawberry                 60

vanilla                        125

mint chip                    50

other                          175

So, the Experimental probability are:

P(chocolate)= 90/ 500 x 100 = 18%

P(strawberry) = 60/ 500 x 100 = 12%

P(vanilla ) = 125/ 500 x 100 = 25%

P(mint chip) = 50/ 500 x 100 = 10%

P(other) = 175/ 500 x 100 = 35%

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The claim that the diamond cone indenter was probably dull is not a valid claim without further investigation and evidence

Here a statistical sampling of Rockwell c hardness tests is conducted on a material. The claim that the diamond cone indenter was probably dull is not a valid claim without further investigation and evidence. While a dull diamond cone indenter could potentially result in inaccurate hardness measurements, it is not necessarily the only factor that could have led to insufficient hardness readings. Other factors, such as improper preparation of the sample or incorrect testing conditions, could also contribute to inaccurate hardness measurements. Therefore, it is essential to thoroughly investigate all possible sources of error before concluding that the tests were flawed due to a dull diamond cone indenter.

Additionally, if the supplier is making this claim, they should provide evidence to support it, such as records of when the diamond cone indenter was last sharpened or a comparison of the results from the defective material and other samples tested using the same diamond cone indenter.

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Answer:

720)))

Step-by-step explanation:

In terms of the calculation, the answer is 39/4 in improper fraction.

An improper fraction has a denominator that is greater than or equal to the numerator. Based on the numerator and denominator values, proper fractions and improper fractions are the two main types of fractions in mathematics.

A mixed fraction is a fraction formed by combining a natural number and a proper fraction. It is a shortened version of an improper fraction.

The given equation is \(3\frac{1}{4}\) + \(6\frac{1}{2}\) .

Taking 4 as LCM from the above equation.

\(3\frac{1}{4}\) + \(6\frac{1}{2}\) = (13/4) + (13/2)

\(3\frac{1}{4}\) + \(6\frac{1}{2}\) = (13+26)/4

\(3\frac{1}{4}\) + \(6\frac{1}{2}\) = 39/4

Now, since the solution must be proffered in an improper fraction.

Therefore, the obtained improper fraction is 39/4.

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Answer:

No solution

Step-by-step explanation:

x = -y

2x + 2y = 6

2(-y) + 2y = 6

0 = 6

Answer:

x=6

Step-by-step explanation:

supplementary angles add up to 180 degrees

therefore

-1+11x+151=180

(add 1 to both sides)

11x+151=181

(minus 151 from both sides)

11x = 66

(divide both sides by 11)

x=6

Answer:

95 people ate pizza

Step-by-step explanation:

Add the ones highlighted

Answer:

a) -5/6

Step-by-step explanation:

\( - \frac{5}{7} \div \frac{6}{7} \)

keep, change, flip

\( - \frac{5}{7} \times \frac{7}{6} \)

\( - \frac{35}{42} \)

simplify

35 ÷7=5

42÷7= 6

Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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Answer:

69 mph

Explanation:

The equation that represents this situation is:

We are required to determine Brian's average speed on the return drive.

To do this, we first find the value of x.

Using the value of x, we find the average speed on the return drive.

Therefore, the average speed on the return drive will be 69 mph.

28. 0.16 (add a line above 6)

29. 0.45 (add a line above 45)

30. 0.4 (add a line above 4)

31. 0.27 (add a line above 7)

32. 0.037 (add a line above 037)

33. 0.045 (add a line above 45)

34. 0.27 (add a line above 27)

35. 0.148 (add a line above 148)

36. 0.16 (add a line above 6)

37. 2.83 (add a line above 3)

Why?

Just divide the 1st number by the last numberb and if the numbers repeat at the end, add a line above them!

The explanatory variables and response variables for this relationship are;

b. Explanatory variable: high school GPA

   Response variable: college GPA

What are explanatory variables?

When it comes to an experiment, a researcher-manipulated variable is an explanatory variable. It acts as a gauge of the transformation the response variable underwent.

Explanatory variables are frequently referred to as predictor variables or independent variables. A response variable is the variable that a researcher is asking a specific question about.

Numerous variables, referred to as explanatory variables, might have an impact on the response variable.

Therefore, the correct option is b, Explanatory variable: high school GPA, Response variable: college GPA.

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Complete question:

College administrators at a small, private college

noticed that students who had higher high school

GPAs tend to have higher college GPAs.

What are the explanatory variable and response

variable for this

relationship?

Explanatory variable: size of college

Response variable: college GPA

Explanatory variable: high school GPA

Response variable: college GPA

Explanatory variable: college GPA

Response variable: high school GPA

Explanatory variable: type of college (public)

Response variable: college GPA

Step-by-step explanation:

my instagram account bdq.frk follow please

The algebraic expression for the coordinates of each endpoint of a line segment whose midpoint is the origin is Endpoint 1: (-x₂, -y₂) and Endpoint 2: (x₂, y₂). The values of x₂ and y₂ determine the specific coordinates of the endpoints.

To determine the algebraic expression for the coordinates of each endpoint of a line segment whose midpoint is the origin, we can use the midpoint formula. Let's denote the coordinates of the endpoints as (x₁, y₁) and (x₂, y₂).

Since the midpoint is the origin, the coordinates of the midpoint are (0, 0). According to the midpoint formula, the coordinates of the midpoint are the average of the coordinates of the endpoints:

x₁ + x₂ = 2 * 0 = 0

y₁ + y₂ = 2 * 0 = 0

Simplifying these equations, we get:

x₁ + x₂ = 0

y₁ + y₂ = 0

We have two variables and two equations, so we can solve this system of equations to express one variable in terms of the other.

Solving for x₁, we get:

x₁ = -x₂

Solving for y₁, we get:

y₁ = -y₂

Therefore, the algebraic expression for the coordinates of each endpoint is:

Endpoint 1: (-x₂, -y₂)

Endpoint 2: (x₂, y₂)

The coordinates of the endpoints depend on the value of x₂ and y₂, which can be any real numbers.

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The equation for the unit vector in the direction of another vector using two given points is U = (x2 - x1, y2 - y1, z2 - z1) / √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2). The unit vector U in the direction of vector AB is U = (√3 / 3, √3 / 3, √3 / 3).

To create an equation for a unit vector in the direction of another vector using two given points, we can first find the direction vector by subtracting the coordinates of the two points. Then, we can normalize the direction vector to obtain the unit vector. Solving the equation involves calculating the magnitude of the direction vector and dividing each component by the magnitude to obtain the unit vector.

Let's assume we have two points A(x1, y1, z1) and B(x2, y2, z2). To find the direction vector, we subtract the coordinates of point A from point B: V = (x2 - x1, y2 - y1, z2 - z1).

To obtain the unit vector, we divide each component of the direction vector V by its magnitude. The magnitude of V can be calculated using the Euclidean distance formula: ||V|| = √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2).

Dividing each component of V by ||V||, we get the unit vector U = (u1, u2, u3) in the direction of V, where ui = Vi / ||V||.

Thus, the equation for the unit vector in the direction of another vector using two given points is U = (x2 - x1, y2 - y1, z2 - z1) / √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2).

Let's solve the equation completely using two given points A(1, 2, 3) and B(4, 5, 6).

Step 1: Calculate the direction vector V.

V = (x2 - x1, y2 - y1, z2 - z1)

  = (4 - 1, 5 - 2, 6 - 3)

  = (3, 3, 3)

Step 2: Calculate the magnitude of V.

||V|| = √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)

      = √((4 - 1)^2 + (5 - 2)^2 + (6 - 3)^2)

      = √(3^2 + 3^2 + 3^2)

      = √(9 + 9 + 9)

      = √27

      = 3√3

Step 3: Divide each component of V by ||V|| to obtain the unit vector U.

U = (u1, u2, u3) = (V1 / ||V||, V2 / ||V||, V3 / ||V||)

  = (3 / (3√3), 3 / (3√3), 3 / (3√3))

  = (1 / √3, 1 / √3, 1 / √3)

  = (√3 / 3, √3 / 3, √3 / 3)

Therefore, the unit vector U in the direction of vector AB is U = (√3 / 3, √3 / 3, √3 / 3).

Note: In this case, the unit vector represents the direction of the vector AB with each component having a length of 1/√3.


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Answer:

Step-by-step explanation:

The measure of each individual exterior angle in a polygon can be found using the following formula:

Exterior angle measure = 360° / number of sides

This formula assumes that the polygon is a regular polygon, meaning that all sides are of equal length and all interior angles are congruent. For an irregular polygon, the exterior angle measures will vary.

There are 2 quart jars can he fill.

There is 4 pint jar can he fill with any leftover sauce.

Fractions are numerical values that are a part of whole.

Julian is making barbecue sauce to the can. He uses 6 cups white vinegar, 1/2 cup honey, and 1/2 cup maple syrup.

We know that

1 quarts = 4 cups

Total number of cups is;

6 + (1/2) + (1/2) = 7

The total number of jars that he can fill is;

= total number of cups/4

=7/4

=1.75

There are 2 quart jars can he fill.

There are pint jars he can fill with any leftover sauce is;

1 quart = 2 pints

So, 2 quart = 2 × 2 = 4 pints.

There is 4 pints jar can he fill with any leftover sauce.

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Step-by-step explanation:

CP of 50 glasses is given 1500 so,

CP of one glass is 1550÷50 it mean the cost price of one glass is 30

now it have your question has said 4 glasses with broken so ,

1500-120

1380

he sold each glasses at the cp of 35 so,

46×35

1610

now,

profit =SP-CP

1610-1500

=110

Actual profit is 110 and profit percent =actual profit/CP ×100

110/1500×100

=7.3333%

Answer:

Quan usually has 4 clients

Step-by-step explanation:

Working backward at math is to start with the final situation and work back one step at a time to get to the beginning.

We know Quan makes $104 a day, including his $72 fixed rate plus an $8 rate per client.

Subtracting the total and the fixed rate, we can find the variable part of his earnings.

$104 - $72 = $32

Quan usually makes $32 for the variable rate at $8 per client, thus he usually has $32 / $8 =4 clients.

Quan usually has 4 clients

The number of arrangements of the letters in "georgiatech" with all the e's consecutive is 60,480.

To determine the number of arrangements of the letters in "georgiatech" such that all the e's are consecutive, we can treat the three e's as a single unit. So, we have 9 distinct letters: g, o, r, g, i, a, t, c, h, and the "eee" unit.

The total number of arrangements of these 9 letters is 9!. However, within the "eee" unit, the three e's can be arranged among themselves in 3! ways. Therefore, we need to divide the total number of arrangements by 3!.

Hence, the number of arrangements of the letters in "georgiatech" such that all the e's are consecutive is:

9! / 3! = 362,880 / 6

= 60,480

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9514 1404 393

Answer:

Step-by-step explanation:

Opposite sides of a parallelogram are the same length.

  AB = CD

  5x -5 = 3x +9

  2x = 14

  x = 7

  AB = 5(7) -5)

  AB = 30

__

The diagonals of a parallelogram are bisected by each other.

  XB = XD

  7y -10 = 5y

  2y = 10

  y = 5

  BX = 7(5) -10

  BX = 25

Answer:

His secret is in generalizing two roots together instead of keeping them as separate values.

Mark brainiest

Answer:

1. Volume measured in Cubic units (to the third power), Only 3-D objects have volume.

2. Parallel lines have the same slope and will never intersect. The slope of perpendicular lines are the negative reciprocals of each other, they will intersect a 90 degrees

3. Secant is 1/cosX (1 over cosine of x), tangent is sinX/cosX(sine of x over cosine of x)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Start by drawing five rectangles. Divide each of the five into four parts. You should have 20 sections.  1 1/4 is equal to 5/4, or five 1/4 pieces. Shade or erase five of the 20 sections. There should be 15 left. 15/4 is 3.75, or 3 3/4, which is less than four.

Hope this helps!

The length of the side labelled, AB as represented in the image attached to the task content is; 5.63.

It follows from the task content that the length of the side AB is to be determined from the right triangle given in the task content.

Since the angle given is; B whose measure is; 62°. It consequently follows that the trigonometric ratio to be used is cosine;

Cos 62 = adjacent/ hypothenuse

Cos 62° = AB/12

AB = 12 Cos 62°

AB = 12 × 0.4695

AB = 5.63

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Answer:

50.2 in^2

Step-by-step explanation:

Using the Formula

A=πr2

d=2r

Solving for A

A= 1/4 π d^2 = 1/4*π*8^2 = 50.26548

=50.2in^2

Answer:

i don't know ok thank you bye

Answer:

y = 5x - 14

Step-by-step explanation:

First point coordinates

x₁

5

y₁

11

Second point coordinates

x₂

7

y₂

21

Result

Slope (m)

5

m = 10 / 2 = 5 / 1 = 5

Your function

The entered points belong to an increasing, linear function.

Equation: y = 5x - 14.

Hope i helped :)