Charlotte buys a ticket to go to a baseball game. The total includes a charge of​ 7% of the original price for extra fees. If Charlotte pays a total of​ $44.94, how much was the original price of the​ ticket?

We can expect 76 teenagers to say yes whether they  preferred watching shows over the internet, rather than through cable.

To calculate the expected number of teenagers who would prefer watching shows over the internet, rather than through cable:

73%, which is equivalent to 0.73 prefer watching shows over the internet. (Given)

Total number of teenagers surveyed is 104. (Given)

Expected number of teenagers who prefer watching shows over the internet =

= 0.73  × 104

= 75.92

Since it is a discrete variable we cannot have a fractional part of a teenager, we need to round the solution to the nearest whole number. Rounding 75.92 to the nearest whole number gives us 76.

Therefore, we can expect 76 out of the 104 teenagers surveyed to say yes, they prefer watching shows over the internet, rather than through cable.

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Based on the given information, we know that x must be 2 since it is the only even prime number. We also know that y must be either 11, 13, 17, or 19 since those are the only prime numbers between 10 and 20.

So, the sum of x and y can be 2 + 11 = 13, 2 + 13 = 15, 2 + 17 = 19, or 2 + 19 = 21.

Out of these four possible sums, only 13, 17, and 19 are prime numbers. Therefore, we can say that the sum of x and y may or may not be a prime number, depending on the specific values of x and y.

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Answer:

Step-by-step explanation:

\(11-13x-7-2x=7\\\\\mathrm{Group\:like\:terms}\\-13x-2x+11-7=7\\\\\mathrm{Add\:similar\:elements:}\:-13x-2x=-15x\\-15x+11-7=7\\\\\mathrm{Add/Subtract\:the\:numbers:}\:11-7=4\\-15x+4=7\\\\\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}\\-15x+4-4=7-4\\\\Simplify\\-15x=3\\\\\mathrm{Divide\:both\:sides\:by\:}-15\\\frac{-15x}{-15}=\frac{3}{-15}\\\\Simplify\\x=-\frac{1}{5}\)

Step-by-step explanation:

Hey, there!!

Let's solve it simply.

Given,

11 - 13x - 7 - 2x = 7

Simplify the like terms.

11 - 7 - 13x - 2x = 7

4 - 15x = 7.

shifting 4 in right side.

-15x =7-4

-15x = 3

Divide 3 by -15.

\(x = \frac{3 }{ - 15} \)

Therefore, x = (-3/15) or (-1/5).

Hope it helps....

Answer:

Y'(-5, 5)

Step-by-step explanation:

To find the coordinates of Y' after the translation, we apply the given rule to the coordinates of point Y(-3, 4).

Using the translation rule (x, y) → (x - 2, y + 1), we can substitute the coordinates of Y(-3, 4) into the rule:

x' = x - 2 = -3 - 2 = -5

y' = y + 1 = 4 + 1 = 5

Therefore, the coordinates of Y' are (-5, 5).

Answer:

4 buses and 3 vans

Step-by-step explanation:

45 students in 4 buses = 180

12 students in 3 vans = 36

180 + 36 = 216.

Answer:

330 000 m²

Step-by-step explanation:

1. Area of farm

\(A = \text{1 km}^{2} \times\left (\dfrac{\text{1000 m}}{\text{1 km}} \right )^{2}= \text{1 000 000 m}^{2}\)

2. Area for wheat

\(A = \text{28 hm}^{2} \times \left (\dfrac{\text{100 m}}{\text{1 hm}}\right)^{2} = \text{280 000 m}^{2}\)

3.Area for olive trees

\(A = {\text{3900 dam}^{2} \times \left (\dfrac{\text{10 m}}{\text{1 dam}}\right )^{2}}= \text{390 000 m}^{2}\)

4. Area for sunflowers

Total area                  =                          1 000 000 m²

- Area for wheat        = 280 000 m²

- Area for olive trees = 390 000                                  

                                                                 670 000      

Area for sunflowers =                              330 000 m²

Sunflowers occupy 330 000 m².

Answer:

20

Step-by-step explanation:

40 ÷ 2 = 20

its 20 since BD is an angle that bisects " divdes " angles in half.

The measure of angle ABD is 20 degrees and this can be determined by using the properties of the angle bisector.

Given :

ABC = 40 and BD is the angle bisector of angle ABC.

The following steps can be used in order to determine the angle ABD:

Step 1 - According to the given data, BD is the angle bisector of angle ABC.

Step 2 - An angle bisector bisects the angle into two equal parts.

Step 3 - So, the measure of angle ABD is calculated as:

\(\angle ABD = \dfrac{\angle ABC}{2}\\\\ \angle ABD = \dfrac{40}{2}\\\\ \angle ABD = 20^\circ\)

So, the measure of angle ABD is 20 degrees.

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Answer:

hello

Step-by-step explanation:

3/5 × 2/3

3×2=6 and 5×3=15

it is 6/15

hope you have a nice day

Answer:

Hi how are you doing today Jasmine

Answer:

Height = 11 inches

Base = 33 inches

Step-by-step explanation:

In this question, we are asked to find the height and base of a parallelogram given the area of the parallelogram.

From the question, we are told that height is 1/3 of base. This means that base is 3 times the height

So if we represent the height with variable h, then the base is 3h

Mathematically the area of a parallelogram can be calculated by the formula

A = bh

Thus ,

363 = h * 3h

3h^2 = 363

divide through by 3

h^2 = 121

h = √121

h = 11 inches

since b = 3h , then b = 3 * 11 = 33 inches

The rule that describes a reflection across the line y = x is given as (x, y) ⇒ (y, x)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Translation is the movement of a point either up, down, left or right on the coordinate plane.

The rule that describes a reflection across the line y = x is given as (x, y) ⇒ (y, x)

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No, an isosceles triangle is not always a right triangle.

An isosceles triangle is a triangle that has two sides of equal length and two angles of equal measure. The two equal sides are known as the legs, and the angle opposite the base is known as the vertex angle.

A right triangle, on the other hand, is a triangle that has one right angle (an angle measuring 90 degrees). In a right triangle, the side opposite the right angle is the longest side and is called the hypotenuse.

While it is possible for an isosceles triangle to be a right triangle, it is not a requirement. In an isosceles triangle, the vertex angle can be acute (less than 90 degrees) or obtuse (greater than 90 degrees). Only if the vertex angle of an isosceles triangle measures 90 degrees, then it becomes a right isosceles triangle.

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If 09 people can complete the job in 75 days then 25 people needs 45 days to complete the job.

Let T be the time and L be the Labor (Number of people working on the bridge).

T ∞ 1/√L  (Inverse relationship)

T = K/√L                   ----------------------------- (1)

Since, Constant "K" is introduced once the variation sign (∞) changes to equality (=) sign.

According to the question,

Time (T) = 75 days    and

labor (L) = 09

From the equation (1), we get,

    T = K / √L

⇒ 75   = K/√9

⇒ 75= K/3

⇒ K= 225

First, the relationship between these variables is:

                       T = 225/√L

Therefore, how long it will take 25 people to do it means that we should look for the time.

                           T=225/√L

                      ⇒  T= 225/√25

                      ⇒  T= 225/5

                      ⇒  T= 45 days.

therefore, 25 people needs 45 days to complete the job.

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Answer:

Step-by-step explanation:

For i figure

Radius=9×10^3

Diameter=18×10^3

For j figure

Radius=1m

Diameter=2m

For k

Radius=17×10^-2

Diameter=34×10^-2

For l

Radius=25×10^-3

Diameter=50×10^-3

To find the value of y when x = -0.3, multiply the constant of variation by x. (10/3) * (-0.3) = -1.The value of y when x = -0.3 is -1.

Step 1: To find the constant of variation, divide y by x. In the first function, y = 2/3 and x = 0.2, so (2/3) / 0.2 = 10/3.

Step 2: To find the value of y when x = -0.3, multiply the constant of variation by x. Using the constant of variation we found in Step 1,

(10/3) * (-0.3) = -1.

Step 3: Therefore, the value of y when x = -0.3 is -1.

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Company A has a higher risk percentage (55%) compared to Company B (3%).

To compute the Coefficient of Variation (CV) for each company, we need to use the formula:

CV = (Standard Deviation / Mean) * 100

Let's calculate the CV for each company:

For Company A:

Risk Percentage = 55%

Return = 14%

For Company B:

Risk Percentage = 3%

Return = 14%

Since we don't have the standard deviation values for each company, we cannot calculate the exact CV. However, we can still compare the riskiness of the two companies based on the provided information.

The Coefficient of Variation measures the risk relative to the return. A higher CV indicates higher risk relative to the return, while a lower CV indicates lower risk relative to the return.

In this case, Company A has a higher risk percentage (55%) compared to Company B (3%), which suggests that Company A is riskier. However, without the standard deviation values, we cannot make a definitive conclusion about the riskiness based solely on the provided information. The CV would provide a more accurate measure for comparison if we had the standard deviation values for both companies.

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Answer:

t = -16

Step-by-step explanation:

→Distribute the -9 to (3t + 17):

-17t = -9(3t + 17) - 7

-17t = -27t - 153 - 7

→Add like terms:

-17t = -27t - 160

→Add 27t to both sides:

10t = -160

→Divide both sides by 10:

t = -16

Answer:

\( \boxed{t = - 16} \)

Step-by-step explanation:

\( = > - 17t = - 9(3t + 17) - 7 \\ \\ = > - 17t = - (9 \times 3t) - (9 \times 17) - 7 \\ \\ = > - 17t = - 27t - 153 - 7 \\ \\ = > - 17t = - 27t - 160 \\ \\ = > - 17t + 27t = - 160 \\ \\ = > 10t = - 160 \\ \\ = > t = - \frac{160}{10} \\ \\ = > t = - 16\)

An area of mathematics that studies how competing parties interact is known as "game theory."

Game theory analyzes strategic decision-making in situations where multiple participants, known as players, make choices that affect each other's outcomes. It examines the interactions, strategies, and outcomes of these competitive or cooperative situations.

Game theory provides mathematical models and frameworks to analyze various scenarios, such as conflicts, negotiations, auctions, voting systems, and economic markets. It studies the behavior of rational players, their objectives, and the choices they make to maximize their own outcomes, considering the actions and reactions of other players.

The field of game theory explores concepts such as strategies, payoffs, Nash equilibrium, dominant strategies, and cooperative or non-cooperative games. It aims to predict and understand the behavior and outcomes of competitive situations and provides insights into decision-making, resource allocation, and the dynamics of interactions between individuals, organizations, or even nations.

Overall, game theory serves as a valuable tool in various disciplines, including economics, political science, psychology, and computer science, to analyze and model situations where competing parties interact.

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Answer:

cost price of the bat: $3130.43

Step-by-step explanation:

3600/1.15 = 3130.43

Hope this helps

To solve for x at an angle, you must first understand what type of angle you are working with. If the angle is a right angle, you can use the Pythagorean theorem to solve for x. If the angle is an obtuse angle, you can use the law of cosines to solve for x. If the angle is an acute angle, you can use the law of sines to solve for x.

To solve for x at a right angle using the Pythagorean theorem, you must have the lengths of the two neighboring sides of the triangle. The sum of the squares of the two sides is equal to the square of the hypotenuse, according to the Pythagorean theorem. By rearranging the components and solving for x, this equation may be used to find x.

To use the law of cosines to solve for x at an obtuse angle, you must know the lengths of all three sides of the triangle. According to the law of cosines, the square of one side's length equals the sum of the squares of the other 2 sides minus twice the product of the other 2 sides multiplied by the cosine of the obtuse angle. You can use this equation to solve for x by rearranging the terms and solving for x.

To apply the law of sines to solve for x in an acute angle, you should first know the lengths of the triangle's two sides as well as the acute angle's measurement. According to the law of sines, the ratio of one side's length to the sine of the opposite angle equals the ratio of the other side's length to the sine of the acute angle. By rearranging the terms and solving for x, you may use this equation to solve for x.

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Step-by-step explanation:

As per the provided information in the given question, we have to rationalise the denominator of :

\( \longmapsto \bf { \dfrac{\sqrt{3} + 1}{2\sqrt{2} - \sqrt{3}} } \\ \)

In order to rationalise the denominator of any fraction, we multiply the rationalising factor of the denominator with both the numerator and denominator of fraction.

○ Rationalising factor is nothing but the conjugate of the denominator. Here, the denominator is in the form of (a – b). So, the rationalising factor will be (a + b). Henceforth, rationalising factor here will be (2√2 + √3).

\( \longrightarrow \sf{\quad { \dfrac{\sqrt{3} + 1}{2\sqrt{2} - \sqrt{3}} \times \dfrac{2\sqrt{2} + \sqrt{3}}{2\sqrt{2} + \sqrt{3}} }} \\ \)

Multiplying (2√2 + √3) with both the numerator and the denominator of the fraction.

\( \longrightarrow \sf{\quad { \dfrac{(\sqrt{3} + 1)(2\sqrt{2} + \sqrt{3})}{(2\sqrt{2} -\sqrt{3})(2\sqrt{2} + \sqrt{3})} }} \\ \)

Using the distributive property in the numerator to perform multiplication easily. And, in the denominator using the property,

\( \longrightarrow \sf{\quad { \dfrac{\sqrt{3}(2\sqrt{2} + \sqrt{3}) + 1(2\sqrt{2} + \sqrt{3})}{(2\sqrt{2})^2 -(\sqrt{3})^2} }} \\ \)

Simplifying further by performing multiplication in the numerator and writing the squares of the terms in the denominator.

\( \longrightarrow \sf{\quad { \dfrac{2\sqrt{6} + 3 + 2\sqrt{2} + \sqrt{3} }{(4 \times 2) - 3} }} \\ \)

Performing multiplication in the denominator.

\( \longrightarrow \sf{\quad { \dfrac{2\sqrt{6} + 3 + 2\sqrt{2} + \sqrt{3} }{8- 3} }} \\ \)

Performing subtraction in the denominator.

\( \longrightarrow \quad \underline{\boxed { \dfrac{ \textbf{\textsf{2}}\sqrt{\textbf{\textsf{6}}} + \textbf{\textsf{3}} + \textbf{\textsf{2}}\sqrt{\textbf{\textsf{2}}} + \sqrt{\textbf{\textsf{3}}} }{\textbf{\textsf{5}}} }} \\ \)

\( \underline { \sf { Hence, \; rationalised!! }}\\ \)

Answer:

12k+8

Step-by-step explanation:

(3k+2)x4

(4x3K)+(4x2)

12k+8

Answer:

12k+8

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The variables of farmer are independent variables and dependent variables.

In this scenario, the farmer is testing the impact of different amounts of nitrogen on corn plant height. Her variables are as follows:

1. Independent variable: The amount of nitrogen infused in the soil (one pot has nitrogen-infused soil and the other has regular soil).

2. Dependent variable: The height of the corn plants (measured in feet).

However, it's important to note that the experimental setup has a potential confounding variable, which is the location of the pots (one is outside and the other is in the bathroom). This might influence the results and make it difficult to solely attribute the differences in height to the nitrogen content in the soil.

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Answer:

9 hours and 10 minutes

Answer:

The graph touches the x axis at x = 0 and crosses the x axis at x = 5 and x = -2.

Step-by-step explanation:

I have been working 1004 days at the job as a student

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, and division among others.

To solve this problem we must perform the following algebraic operations with the given information

Calculate the days from 08/21/2019 to 08/21/2022, we get:

Days 1 = (08/21/2022 - 08/21/2019) * (365 days/1 year)

Days 1 = 3 years * (365 days/1 year)

Days 1 = 1095 days

Calculate the days from 05/21/2019 to 08/21/2019, we get:

Days 2 = (08/21/2019 - 05/21/2019) * (30 days / 1 month)

Days 2 = 3 months * (30 days / 1 month)

Days 2 = 90 days

Calculating the days from 05/20/2019 to 05/21/2019, we get:

Days 3 = 05/21/2019 - 05/20/2019

Days 3 = 1 day

Calculate the total days from 08/21/2019 to 05/20/2022, we get:

Total days = Days 1 - days 2 - days 3

Total days = 1095 days - 90 days - 1 day

Total days = 1004 days

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Answer:

300

Step-by-step explanation:

6 × 10¹ ÷ 2 × 10-¹

= 300

no of aluminium is 300 times more than that of gold

The derivative of the function -7x + 6y = 5 with respect to x is \(dy/dx = 7/6\).

To find the derivative of -7x + 6y = 5, we need to solve for y in terms of x and then find the derivative of y with respect to x.

-7x + 6y = 5

Add 7x to both sides:

6y = 7x + 5

Divide both sides by 6:

y = (7/6)x + 5/6

Now, we can find the derivative of y with respect to x:

\(dy/dx = d/dx [(7/6)x + 5/6]\)

= (7/6) d/dx x + d/dx (5/6)

= 7/6

Therefore, the derivative of the function -7x + 6y = 5 with respect to x is \(dy/dx = 7/6\).

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