Let x represent the price of a movie ticket. A local movie theater decided to increase the price of a movie ticket by 30%. Which expression can be used to calculate the new, increased price of a movie ticket?
A. 30x
B. x over the number 30
C. 0.3x
D. 1.3x

Answer and Step-by-step explanation:

Given:

Charges includes 10 hour per month = $50

Charges for additional hour = $9

Piecewise definition of cost F(x) for a month in which a member use a car for  hours.

Find limits?

Find lim x--->10 F(x), lim x--->10F(x), and lim x--->10F(x), which- ever exist.

Lim x → 10- F(x) = 50$

Lim x → 10 [ 9x – 70] = 9( 10) – 70  

                                = 90 – 70

                                = 20 > 10

Limit does not exist.

Lim x → 10+ F(x) = 50$

Lim x → 10+  F(x) = Lim x → 10+   [90x – 70]

                         = 90 – 70

                          = 20 > 10

Limit does not exist.

Lim x → 10 F(x) = 50$

An integer or an decimal.

The limit does not exist.

The piece wise definition of the cost \(f(x)\) for a month in which a member uses a car for \(x\) hours is given by the equation,\(f(x)= 50+9(x-10)\).

Given,

Membership plan is \(\$50\) per month.

We have to write a piece wise definition of the cost \(f(x)\) for a month in which a member uses a car for \(x\) hours.

Here, \(\$\)\($50\) per month fees includes 10 hours of driving each month, so the cost for a month is given as,

\(f(x)= 50+9(x-10)\)

Here \(x\) is the no. of additional hours for the month.

Further,

\(f(x)= 9x-40\).

Now at,

\(lim _{x \to 10^+}f(x) = 9\times 10-40\\\)

Or,

\(f(x)= 90-40\\f(x)=50\)

Similarly, at left limit,

\(lim _{x \to 10^-}f(x) = 9\times (-10)-40\)

Or,

\(f(x)=-90-40\)

\(f(x)=-130\)

Finally at \(x=10\), \(f(x)=9\times10-40\)

\(f(x)=90-40\\f(x)=50\)

Since \(lim{x \to}10^+\) \(\neq limx\to 10^-\neq f(x) (at x= 10)\)

So the required function \(f(x)\) is discontinuous at \(x=10\)

Hence the piece wise definition of the cost \(f(x)\) for a month in which a member uses a car for \(x\) hours is given by the equation,\(f(x)= 50+9(x-10)\).

For more details on limit follow the link below:

https://brainly.com/question/12383180

The number of revolutions made by the wheel is 5.24 ≅ 5.  

One complete revolution is equal to 360 degrees, so to find the number of complete revolutions the wheel has made, we can divide the total number of degrees rotated by 360.    

Here we have

A wheel rotated by 1888°  

As we know One complete revolution is equal to 360 degrees

Hence, the angle can be rotated by the wheel in 1 rotate = 360°  

Let the wheel make 'x' revolution to make 1888°  

=> 360(x) = 1888

=> x = 1888/360

=> x = 5.24

Therefore,

The number of revolutions made by the wheel is 5.24 ≅ 5.    

Learn more about Revolutions at

https://brainly.com/question/6292216

#SPJ1

The distance to second base is approximately 127.28 feet. Round to the nearest hundredth

Since the angle is 45 degrees, the other side of the right triangle are equal, hence we have two sides of 90 ft to be used to find the hypotenuse

Using Pythagoras theorem given by the  the formula

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

let x be the required distance

x² = 90² + 90²

x² = 16200

x = √16200

x = 90√2

x = 127.28 ft (to the nearest hundredth)

Learn more on Pythagoras theorem here:

https://brainly.com/question/29363020

#SPJ1

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

Read more on rotation here: brainly.com/question/28854313

#SPJ1

Answer:6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

its for 13 points- I'm so confused rn

Step-by-step explanation:

y=x-2....eqn1

x+y=12.....eqn2

now,

from eqn 1

y= x-2

again, putting value of y in eqn 2

in eqn 1

hope it helps..

X = 2 cm

Volume = Bh= 8×5×1/2×X= 80

X = 80/20 = 4

The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.

The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.

The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.

The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).

Based on this information, we can draw the following conclusions:

The graph will be a U-shaped curve with the vertex at (1, -9).

The vertex represents the minimum point of the parabola since it opens upward.

The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.

The graph will extend indefinitely in both directions.

To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.

Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.

​for such more question on parabola

https://brainly.com/question/9201543

#SPJ8

Answer:

3 to 6 making 9 multiply by 4 giving 36

add 3 by 4 = 36

same

lmk of u hv questions

Answer:

Step-by-step explanation:

1/5

Answer: 1/5

Step-by-step explanation:

The triangle ΔXYZ is congruent to the triangle ΔX'Y'Z'. And the intersection of ZZ' and AB form a right angle.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object.

The reflection does not change the shape and size of the geometry. But flipped the image.

The triangle ΔXYZ is reflected across the line AB to get the tringle ΔX'Y'Z'.

The diagram is given below.

A reflection is a transformation that maps every point P over a line such that the line segment PP' will intersects the line of reflection at a right angle.

Thus, the triangle ΔXYZ is congruent to the triangle ΔX'Y'Z'. And the intersection of ZZ' and AB form a right angle.

More about the transformation of the shape link is given below.

https://brainly.com/question/27224339

#SPJ1

Answer:

k ≥ 24

Step-by-step explanation:

ᵏ⁄₄ ≥ 6

Multiply each side by 4

ᵏ⁄₄ *4 ≥ 6*4

k ≥ 24

Answer:

k≥24

Step-by-step explanation:

k/4≥6

Use the multiplication property of equality by multiplying both sides by 4 to get

k≥24

If this is wrong or if I did something wrong, please tell me so I can learn the proper way, I am just treating this like a normal problem

Thank you

The fraction of the money the youngest boy does get is 5x/22.

Given that, three brothers share some money. The oldest 5/11 of the money.

Let the total money be x.

Share of oldest boy = 5/11 ×x

= 5x/11

Remainder = x-5x/11

Remainder = 6x/11

The next boy gets 7/12 of the remainder.

Share of next boy = 7/12 × 6x/11

= 7x/22

Share of youngest boy = 6x/11 - 7x/22

= (12x-7x)/22

= 5x/22

Therefore, the fraction of the money the youngest boy does get is 5x/22.

To learn more about the fraction visit:

brainly.com/question/1301963.

#SPJ1

Decentralization is a management approach that involves the delegation and assignment of decision-making rights from top levels of management to lower levels of management. Option A

It is an effective way to empower employees and to improve decision-making processes within an organization. The benefits of decentralization include the following:

It empowers more employees at lower levels of management: Decentralization allows employees to take ownership of their work, to be more accountable, and to make decisions that are in the best interest of the organization. This, in turn, leads to improved job satisfaction, employee engagement, and better overall performance.

It allows for better and more timely decision-making: Decentralization ensures that decisions are made closer to where the work is being done. This leads to faster decision-making, improved responsiveness to changes in the market, and better coordination between different departments and teams.

It trains future managers: Decentralization provides employees with the opportunity to gain valuable management experience, which can help prepare them for future leadership roles within the organization.

However, one benefit of decentralization that is not accurate is that it forces top levels of management to focus on individual units. In fact, decentralization can free up top management to focus on the big picture and long-term strategy, rather than getting bogged down in day-to-day operations.

In conclusion, decentralization is a useful management approach that can help organizations improve decision-making, empower employees, and train future managers.

By delegating decision-making rights to lower levels of management, organizations can improve overall performance and become more adaptable to changes in the market.

So Option A is correct.

For more question on Decentralization visit:

brainly.com/question/6103174

#SPJ1

complete question:

The benefits of decentralization i.e. delegation and assignment of decision rights include all of the following except:

a it forces top levels of management to focus on individual units

b it empowers more employees at lower levels of management

c it allows for better and more timely decision making

d it trains future managers

Answer:

+5 + 3 = 8

Step-by-step explanation:

The value of total weight of the fish Nicholas and his father caught, in pounds is,

⇒ 87/4 pounds

We have to given that;

Nicholas caught a fish that weighed 14 1/2 pounds.

And, His father caught a fish that weighed half as much as the fish Nicholas caught.

Hence, The weight of fish caught  by his father is,

⇒ 14 1/2 ÷ 2

⇒ 29/2 × 1/2

⇒ 29/4

Thus, The value of total weight of the fish Nicholas and his father caught, in pounds is,

⇒ 14 1/2 + 29/4

⇒ 29/2 + 29/4

⇒ 58/4 + 29/4

⇒ 87/4 pounds

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ1

The expression of logarithmic function, f(x) = ln (1/gᵏ) after all possible expansion is equals to the f(x) = - k × ln( g).

In mathematics, the logarithmic function is defined as inverse function to exponent function and defined as f(x) = logₐx where a is base of function. Properties of Logarithmic Functions :

We have, a natural logarithmic function, i.e., base = 10, f(x) = ln (1/gᵏ) and we have to expand it. To expand logarithms means write them as a sum or difference product of logarithms. The order to apply rules is quotient rule, product rule and then power rule. So, f(x) = ln (1/gᵏ)

applying quotient rule,

=> f(x) = ln(1) - ln( gᵏ)

Appling power rule,

=> f(x) = ln(1) - k ln( g)

Applying Zero Exponent Rule,

=> f(x) = 0 - k × ln( g)

Hence, the required expansion is f(x) = - k × ln( g).

To learn more about Logarithmic function, refer:

https://brainly.com/question/30283912

#SPJ4

Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%

The formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time

Process time = 23 days

Inspection time = 13 days

Value added time = 23 + 13 = 36days

The production cycle time = Move time + process time + queue time + inspection time + wait time

= 22 + 12 + 23 + 13 + 17 days

= 87 days

So, the manufacturing efficiency time = 36/87 * 100

= 41.4%

Learn more about manufacturing efficiency here:

https://brainly.com/question/29645032

#SPJ1

Answer:

c.) in the correct answer

Answer:

≈ 6.2

Step-by-step explanation:

Common side of the triangles is:

Find x:

Answer: 0.7 liters

Step-by-step explanation:

First convert 3 cups to Liters

3 cups = 0.709765

Now round 0.709765 to the nearest 10 which give you 0.7

Answer:

0.7 liters Hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

So if mischievous grows 8 7/12 inches every week, you have to multiply 8 7/12  times 4 (for the 4 weeks).

8 7/12 x 4= 34 4/12

Then add that to the snakes current length.

34 4/12+ 17 2/9=///

1) Change the fractions to have common denominators

4/12 x 3= 12/36

2/9 x 4= 8/36

2) Add. 8+12= 20. Denominators stay the same. 20/36.

3) Add the whole numbers. 34+17=51.

4) Put it all together. 51 20/36.

5) Simplify the fractions. 20 and 36 can be divided by 4.

20/4=5  36/4=9, 5/9

So, 34 4/12+17 2/9= 51 5/9

Mischievous will be 51 5/9 inches after 4 weeks.

To convert into feet, divided 51 by 12.

Answer:

10%

Step-by-step explanation:

(a) What percentage of meals had less than 10 grams of fat?

(b) Round your answer to the nearest tenth of a percent.

To find the percentage of meals with less than 10 grams of fat, count the number of meals with less than 10 grams of fat and divide by the total number of meals; multiply this figure by a hundred.

(A) Total number of meals = 550

Number of meals having less than 10 grams of fat = 77

Percentage of meals having less than 10 grams of fat = 77/550 × 100

= 0.14 × 100 = 14%

(B) Rounding the answer to the nearest tenth of a percent means approximating it to the nearest multiple of 10 that is not more than 100 (where 100 here represents a full cent or 'percent').

The multiples of 10 that are close to 14 are 10 and 20. The closest being 10, your answer becomes 10%

The distance between the fire and station B is 10.7miles

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

The angle at A = 90- 35

= 55°

The angle at B = 90-49

= 41°

Angle at the fire = 180-(41+55)

= 180-96 = 84°

Using sine rule

sin84/13 = sin55/x

xsin84 = 13sin55

0.995x = 10.65

x = 10.65/0.995

x = 10.7 miles

Therefore the distance between the fire and station B is 10.7 miles.

learn more about sine rule from

https://brainly.com/question/27174058

#SPJ1

Notice that the account gives what is called "simple interest" given by the formula:

I = P * R * T

Therefore in our case, where the Principal is $96,962

and the interest rate is 15% (which in decimal form is written as 0.15)

over a time of 4 years will give the following interest:

I = 96962 * 0.15 * 4 = $58177.20