Shane bought a package of 12 bagels. He gave b of them to his friends. Write an expression that shows the number of bagels Shane has left.

Answers

Answer 1

The expression that shows the number of bagels Shane has left is 12-b.

What is an expression?

Expression in math is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given;

Shane bought a package of 12 bagels

He gave b of them to his friends

Now;

Shane bought 12 bagels

Expression= 12

Shane gave b

Expression=12-b

Therefore, the expression will be 12-b.

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Related Questions

The supermarket has 20 aisles. 10 of the aisles are empty. What percentage of the aisles are empty?

Answers

The percentage of the aisles that are empty, given the number of aisles in total in the supermarket, is 50 %

How to find the percentage of aisles ?

To find the percentage of the aisles that are empty, you can use the formula :

= Number of aisles that are empty / Number of total aisles in the supermarket x 100 %

Number of aisles that are empty = 10 aisles

Number of total aisles in the supermarket = 20 aisles

The percentage of aisles empty is:

= 10 / 20 x 100 %

= 0. 5 x 100 %

= 50 %

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what is the value of Z?

Answers

The square root of 2 or root 2 is represented using the square root symbol √ and written as √2 whose value is 1.414. This value is widely used in mathematics.

What is the value of 2√ 2 ?

Well, the basic answer is that the value of root 2 (i.e., 2) is 1.412. We must first understand the concepts of power and roots in order to comprehend what root 2 (2) is and how to calculate its value. √2 = 1.414

You may determine the values of non-perfect square values like root 3, root 5, etc. using the long division method.

The square root or root of a number "n" is a number that, when multiplied by itself, has the value "n". For instance, the square root of 4 is equal to 2. thus 2 + 2 Equals 4. The opposite of squaring a number is finding the square root of that integer. 

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Are 3/8 and 3/4 equivalent fractions with a number line

Answers

No they aren't. I don't need a number line to show you. 3/4 is .75 while 3/8 is .375 if you wanted a fraction that was equivalent but still used 8 as the denominator then you would go with the fraction 6/8. Also a thing to note since the denominator of
6/8 is twice that of 3/4 we know that the numerator must be doubled too. I hope that helps.

Makayla leans a 26-foot ladder against a wall so that it forms an angle of 69


with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary.

Answers

A right triangle is created by the wall and the ladder's base. 9.3 feet are horizontally between the wall and the ladder's base.

What are right triangles?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides.

The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

So, the parameters listed are:

69-degree angle.

Ladder length (l) equals 26 feet.

The following cosine ratio is used to compute the horizontal distance (h).

cos(θ) = h/l

Replace known values:

cos(69) = h/26

Make the topic "h":

h = 26 * cos(69)

Consider the product:

h = 9.3

Therefore, a right triangle is created by the wall and the ladder's base. 9.3 feet are horizontally between the wall and the ladder's base.

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The vertices of YEAR are Y(1,-4) E(3,0), A (-1,2) and R( -3,-2) . prove that YEAR is a Square

Answers

To prove that YEAR is a square, we need to show that all four sides have the same length and all four angles are right angles (90 degrees).

Side Lengths: To find the lengths of the sides, we can use the distance formula:

d = √((x2 - x1)² + (y2 - y1)²)

For example, to find the length of the side that connects Y and E, we can use the following calculation:

d = √((3 - 1)² + (0 - (-4))²) = √((2)² + (4)²) = √(4 + 16) = √20

We can use the same formula to calculate the lengths of the other sides. By doing so, we will find that the length of all four sides are the same, which is √20. This means that all four sides of YEAR are congruent, and therefore it is a square.

the maller of 2 conecutive number i x3
a.find the um of the two number
b.find their difference
c.ubtract their um for x8

Answers

The sum of the two consecutive numbers is 31.

Let the two consecutive number are n and n+1.

Given the difference between square of two consecutive Numbers is 31.

(n + 1)² - n² = 31n² + 2n + 1 – n² = 312n + 1 = 312n = 30n = 15

Then, two consecutive number = n, n+1 = 15, 16

Therefore

( A ): the sum of two consecutive number = 15 + 16 = 31

( B ): Their difference = 16 – 15 = 1

( C ): Subtract their sum by 8 = 31 – 8 = 23

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Annie is helping you graph the line y - 3 = 2(x + 1).
She tells you to follow the steps below.

Step 1: Plot the point (1, -3).
Step 2: Plot more points by moving up 2 and right 1.
Step 3: Draw a line through the points and put arrows on the ends..

Annie made a mistake.

What was her mistake? How should she fix her mistake?

Answers

Answer: Annie made a mistake in step 1 by plotting the point (1, -3) instead of (1, 0) which is the x-intercept of the given equation.

Step-by-step explanation:

She should have used the x-intercept of the equation instead of just any point.

To fix her mistake, Annie should find the x-intercept of the equation by setting y to 0, and solve for x. Then she can plot the point (1,0) and proceed with step 2 and 3.

she should’ve used the x intercept instead of using any point

Tamisha works as an intern in an architect’s office. A designer drew a scale drawing of a kitchen without using grid paper. In the drawing, 1 inch represents 2 1/2 feet. Tamisha’s supervisor wants her to determine the skill factors for the length and the skill factors for the areas of.

a. Find the scales factor for the lengths

b. Find the scales factors for the areas

Answers

Answer:

length: 1:30, area: 1:900

Step-by-step explanation:

1ft = 12 inches, so 2.5' = 30". scale for length is 1:30, for area it's square - 1:900

One company estimates same-day delivery as more than three less than half the total number of miles which graph represents the overall equation represented by the scenario or points may not apply to the scenario note that the graphs have similar miles for the independent variable on the X axis and the Y axis is a unit of time dependent on the number of miles

Answers

A graph that represents the overall equation represented by this scenario is shown in the image attached below.

How to determine the graph?

Based on the information provided about this company with respect to its same-day delivery and total number of miles to be covered, we would assign variables to the parameters as follows:

Let the variable x represent be the total number of miles.Let the variable y represent same-day delivery.

Next, we would translate the word problem into an algebraic equation by using an inequality:

Half the total number of miles = x/2.

y > x/2 - 3

Furthermore, we would determine the x- and y-intercepts as follows:

When x = 0, we have;

y = 0/2 - 3

y = -3.

Therefore, y-intercept = (0, -3).

For the x-intercept (y = 0), we have:

0 = x/2 - 3

x/2 = 3

x = 6.

Therefore, x-intercept = (6, 0).

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The function f(x) is shown on the graph.
f(x)
O Logarithmic
B 7
O Polynomial
654
-10-9-8-7-6-5-4-3-2-10
3
2
-1
-2
-3
47999
-7
-10
Which type of function describes f(x)?
O Exponential
X
2 3 4 5 6 7 8 9 10

Answers

An exponential function is represented by taking into account the fact that the graph has an asymptote and does not cross it.

What is exponential function?

A function with the formula f(x)=ax is an exponential function. Here, x is the input and an is a positive, real integer (referred to as the base) (independent variable). The independent variable is always in the exponent for exponential functions, which is important to keep in mind.

It is based on:

where a represents the y-intercept.

The rate of change is b.

The asymptote, which the function does not cross, is y = c.

Consequently, the graph in this issue models an exponential function with an asymptote at y = 0.

An exponential function is represented by taking into account the fact that the graph has an asymptote and does not cross it.

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Please answer!!! The inspector at a bottling plant checks 25 bottles. Two bottles do not pass inspection. All the bottles hold the same number of milliliters of sports drink

Answers

The equivalent expression for the amount of sports drinks that pass inspection is 23x milliliters.

The inspector at a bottling plant checks 25 bottles, and two bottles do not pass inspection.

To find the amount of sports drinks in milliliters that pass inspection, we can subtract the amount in the two bottles that do not pass inspection from the total amount in all 25 bottles.

Let x be the amount of sports drinks in milliliters in each bottle.

The expression for the milliliters of sports drink that pass inspection is = 25x - 2x

Now, simplifying the expression, we get,

25x - 2x = (25-2)x = 23x

Hence, the equivalent expression for the amount of sports drinks that pass inspection is 23x milliliters.

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The complete question is -

The inspector at a bottling plant checks 25 bottles. Two bottles do not pass inspection. All the bottles hold the same number of milliliters of sports drinks. Write an expression for the milliliters of sports drink that pass inspection. Then simplify it to create an equivalent expression.

A family ha two car. The firt car ha a fuel efficiency of 35 mile per gallon of ga and the econd ha a fuel efficiency of 15 mile per gallon of ga. During one particular week, the two car went a combined total of 1150 mile, for a total ga conumption of 50 gallon. How many gallon were conumed by each of the two car that week?

Answers

The first car consumed 35 number of  gallons and the second car consumed 15 gallons.

1. Calculate the total efficiency of both cars: 35 mpg + 15 mpg = 50 mpg

2. Calculate total gallons consumed: 1150 miles/50 mpg = 23 gallons

3. Divide total gallons by each car: 23/2 = 11.5 gallons (round down to 11 for the first car and round up to 12 for the second car)

4. The first car consumed 11 gallons and the second car consumed 12 gallons.

The first car consumed 35 gallons and the second car consumed 15 number of gallons.

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Pls solve 5^2x-1–6(5^x) + 25=0

Answers

The answer is No solution

if 12% of a number is 75, find 4% of that number

Answers

Answer:

25.60

Step-by-step explanation:

first divide 12%of a number with 75 Ans will be 6.25 then multiply with 4 Ans will be 25.60

Answer: 25

Step-by-step explanation:

12 divided by 4 = 3

75 divided by 3 = 25

25 = 4%

convert 6 2/5 to a fraction greater than 1

Answers

Answer:

Step-by-step explanation:

6 2/5

Number 5 is denominator, keep it for denominator.

Numerator will be 6x5+2 =32

so, a fraction of 6 2/5 greater than 1 is 32/5

Which is a correct solution for the following system of Inequalities

Answers

The solution for given linear inequalities is (-0.5,4.25) from the given graph.

What are linear inequalities?

Inequality represents the mathematical expression in which both sides are not equal. If the relationship makes the non-equal comparison between two expressions or two numbers, then it is known as inequality in Maths. In this case, the equal sign “=” in the expression is replaced by any of the inequality symbols such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤) or not equal to symbol (≠). The different types of inequalities in Maths are polynomial inequality, rational inequality, absolute value inequality.

The symbols ‘<‘ and ‘>’ express the strict inequalities and the symbols ‘≤’ and ‘≥’ denote slack inequalities. A linear inequality seems exactly like a linear equation but there is a change in the symbol that relates two expressions.

e.g. y>x+2

Now,

As we know the solution for the lines which intersect at a certain point is that point or the coordinates of that point i.e. (-0.5,4.25).

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A map scale designates 1 inch = 25 km. The distance between the two towns on the map is 3 inches. If a liter of gasoline can last you for 50 kilometers, how many liters of gasoline would you need to drive from the first town to the second?

Answers

The amounts of liters of gasoline that you need to drive from the first town to the second is given as follows:

1.5 liters.

How to obtain the amount of gasoline needed?

The amount of gasoline needed is obtained using the proportions in the context of this problem.

The scale is given as follows:

1 inch = 25 km.

Meaning that each inch on the drawing represents an actual distance of 25 km, then the actual distance of the towns separated by 3 inches on the map is given as follows:

3 x 25 = 75 km.

A liter of gasoline lasts for 50 kilometers, hence the amount of liters of gasoline needed for 75 kilometers are given as follows:

75/50 = 1.5 liters.

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I NEED HELP ON THIS ASAP!!!!
The volume of an ice cream cone is the measure of how much ice
cream fits inside the cone. An ice cream cone company wants to
make an ice cream cone with a greater height that still holds the
same amount of ice cream.

Write an equation to calculate the volume of a cone.
Then rewrite the equation to solve for the height.

Explain how your equation determines a linear measurement when the original equation determined a cubic measurement

Answers

The volume of a cone is V = πr²h/3

The equation rewritten to solve for the height is V = πr²h/3

How to determine the equation

It is important to note that the formula for volume of a cone is expressed as;

V = πr²h/3

The parameters are;

V is the volume of the coneπ takes the constant value, 22/7 or 3. 142h is the height of the cone

Since the ice cream fits inside the cone and the height still holds the ice cream, let's make the height subject of formula.

Let's take the following steps;

V = πr²h/3

cross multiply the equation, we get;

V × 3 =  πr²h × 1

Multiply the values

3V = πr²h

To make the variable 'h' stand alone, let's divide both sides of the equation by its coefficient

3V/πr² = πr²h/πr²

Divide the values

c

Hence, the equation determines a linear measurement since the value 3 multiply the volume and not divides it.

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DJ is riding in the passenger seat of a car that is going 40 miles per hour
when it passes Jabari, who is standing on the street. From Jabari's
perspective, how quickly is DJ moving?
A
DJ does not appear to be moving at all.
B. DJ appears to be moving more slowly than the car.
C. DJ appears to be moving more quickly than the car.
D. DJ appears to be moving at the same speed as the car.

Answers

Answer: DJ appears to be moving at the same speed as the car

Step-by-step explanation:

DJ is inside of the car, so he moves with it. Jabari is outside of the car and is standing still, so both DJ and the car he is in seems to be moving at 40 miles per hour at the same time

What number is 24 less than 3 times itself?

Answers

Answer:

3x - 24

Step-by-step explanation:

24 less is the same as: - 24

3 times itself is: 3x

Ben and tom each take driving test. The probability that ben and tom will pass is 0. 87 and 0. 7 respectively

Answers

The probability that ben and tom will pass is 0. 87 and 0. 7 respectively will be 0.38

The answers to the questions are as follows:

Please refer to the attached file for point a.

Since both of them pass their driving tests at the same time, we double the odds of each one passing, which results in a probability of "56%".

Tom passes but Ben fails, or Tom passes but Ben succeeds. Therefore, the likelihood and the response is "38%."

(a)The tree diagram is attached.

P(Ben Fails)=1-0.8=0.2

P(Tom Fails)=1-0.7=0.3

(b)Probability that both will pass their driving test.

P(both will pass)=0.8 X 0.7 =0.56

(c)Probability that only one of them will pass their driving test.

P(Tom Bass, Ben Fails OR Ben Pass, Tom Fails)

=(0.7 X 0.2)+(0.8 X 0.3)

=0.14+0.24

=0.38

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In the first week of​ July, a record 1,120 people went to the local swimming pool. In the second​ week, 110 fewer people went to the pool than in the first week. In the third​ week, 135 more people went to the pool than in the second week. In the fourth​ week, 137 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four​ weeks?

Answers

If in the first week of​ July, a record 1,120 people went to the local swimming pool. the percent decrease in the number of people who went to the pool over these four​ weeks is 10%.

How to find the percentage decrease?

First week:

Number of people went to the local swimming pool =1120

Second week:

Number of people went to the local swimming pool =1120-110

Number of people went to the local swimming pool =1010

Third week:

Number of people went to the local swimming pool =1010+135

Number of people went to the local swimming pool =1145

Fourth week:

Number of people went to the local swimming pool =1145-137

Number of people went to the local swimming pool =1008

Decrease in number of people over four week=1120 -1008

Decrease in number of people over four week = 112

Percentage decrease  = 112 /1120  × 100

Percentage decrease = 10%

Therefore the percentage decrease is 10%.

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Does someone mind helping me with this problem? Thank you!

Answers

The total number of $12 tickets are 120 while the $15 tickets are 180.

What is algebraic expression?

In addition to using operational signs, algebraic expressions also include numbers and variables. Examples include multiplication, multiplication with the natural exponent, division, and addition, subtraction, and exponentiation. The term "fractional expression" refers to division in an algebraic expression with variables.

The term "rational numbers" refers to numbers that can be expressed as fractions. Integers, repeating decimals, and terminating decimals are a few examples.

Given that x stands for $12 tickets and y stands for $15 given as the equation

12x + 15y = 4140

x + y = 300

y = 300 - x

Substitute the value of y in the first equation

12x + 15(300 - x) = 4140

12 x + 4500 - 15x = 4140

12x - 15x = 4140 - 4500

-3x = −360

x = 360/3

x = 120

y = 300 - (120)

y = 180

Thus, The total number of $12 tickets are 120 while the $15 tickets are 180.

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Write and compound inequality-4 is greater than x and less than 2

Answers

The compound inequality is x<-4 and x<2.

What is a compound inequality?

A compound inequality in mathematics is a clause that joins two claims with the conjunction "and" or "or." Both of the statements in a compound sentence are true simultaneously if the conjunction "and" is used to connect the statements. If "or" is used to connect the statements, the compound phrase is true if at least one of the statements is true.

We are given that -4 is greater than x

This means that  -4>x

Also, it is given that x is less than 2

Therefore, x<2

Hence, the compound inequality is x<-4 and x<2.

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Find the length of x. Please help I will mark brainlist

Answers

Answer:

its 4, but give the other guy brainliest he answered first :D

Step-by-step explanation:

. What crimes do these excerpts from the Code of Hammurabi identify?
Which of those are considered crimes today? Which are not?
3) What punishments do these excerpts from the Code of Hammurabi identify?
4) Which of those punishments are used today? Which are not?
5) Based on these short excerpts from the code, how do you think Hammurabi defined justice?
6) In what ways do our codes of law today show similarities to and differences from the concept of justice as shown in these short excerpts from Hammurabi’s Code?
7) In what ways has today's view of justice changed from Hammurabi's? What events and ideas do you think caused these changes?

Answers

1. These excerpts from the Code of Hammurabi identify crimes such as theft, assault, and damage to property.

2. Some of these crimes, such as theft and assault, are still considered crimes today. However, some of the punishments specified in the code, such as the punishment for a son striking his father, would not be considered appropriate today.

3. These excerpts from the Code of Hammurabi identify punishments such as fines, imprisonment, and physical punishment such as whipping or amputation.

4. Physical punishments such as whipping or amputation are no longer used in most modern legal systems.

5. Fines and imprisonment are still used as punishments today.

6. Based on these short excerpts from the code, it seems that Hammurabi defined justice as a system of strict punishment for crimes, with different punishments for different classes of people and different severity of crimes.

Our codes of law today show similarities to the Code of Hammurabi in that they both have a system of punishment for crimes. However, there are also many differences, such as the fact that our legal system is considered more fair and equal, and places a greater emphasis on rehabilitation and protecting the rights of the accused.

7. Today's view of justice has changed significantly from Hammurabi's in that it places a greater emphasis on protecting the rights of the accused, rehabilitation, and equality before the law. This change can be attributed to a number of factors, including the development of democratic societies, the influence of human rights movements, and the advancement of legal scholarship and philosophy.

What is Hammurabi code?

The 282 rules that make up the Hammurabi code of laws established norms for business dealings and established fines and penalties to satisfy the demands of justice.

A large, finger-shaped black stone stele with Hammurabi's Code carved on it was looted by invaders and only recently found in 1901. One of the most well-known examples of the ancient maxim known as "lex talionis," or the law of retribution, is the Hammurabi Code.

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A toy store had 4 boxes that weighed a total of 34 kilograms. If each box had the

same amount of weight, how much did each box weigh? Between what two whole

numbers does your answer lie?

Answers

The weight lies between the whole numbers 8 and 9.

The length, breadth, and height of a package are multiplied using the longest point on each side to determine the dimensional (DIM) weight.

If each of the 4 boxes has the same weight, the weight of each box can be found by dividing the total weight by the number of boxes. Given that the total weight is 34 kilograms, the weight of each box is:

w = 34 kg / 4 boxes = 8.5 kg

So, each box weighs 8.5 kilograms. The weight lies between the whole numbers 8 and 9.

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Drag each tile to the correct box. Consider the given circles. Sector B 9 units 820 Sector c Sector A 6 units 1690 4 units Order the sectors from least to greatest according to their areas, in square units. Sector C Sector B Sector A A​

Answers

The order from least to greatest is: A, B, C

The order of the sectors from least to greatest according to their areas is:

Sector A, Sector B, Sector C

To find the area of each sector, we need to multiply the central angle measure (in degrees) by the radius squared and divide by 360.

Sector A: 4 units * (1690 / 360) = 46 square units

Sector B: 6 units * (820 / 360) = 69 square units

Sector C: 9 units * (820 / 360) = 103.5 square units

Hence, the order from least to greatest is: A, B, C

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PLEASE HELP!! A ladder is leaning against a wall. What is the length of the ladder if it is resting against the wall at a height of 48 feet and it forms an angle of 53 degrees with the ground? Round your answer to the nearest tenths place

Answers

The length of the ladder, if it is resting against the wall at the height of 48 feet and it forms an angle of 53 degrees with the ground being 63.7 ft.

First, we need to draw a figure according to the conditions given in the question.

Now, let AC be the length of the ladder, AB is the length of the wall, and BC is the length of the ground, as shown in the figure.

As we know,

tan θ = perpendicular/hypotenuse

tan 53 = AC/AB

AC = tan 53 × AB

AC = 1.327 × 48

AC = 63.7 ft

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help me out pleaseeeeeeeeeeeeeeeeeee

Answers

Answer:

3 and 5

Step-by-step explanation:

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9000 dollars is placed in an account with an annual interest rate of 7.75%. How muchwill be in the account after 18 years, to the nearest cent? $34494.79 Which of the following are the smallest organisms in the ocean, and largely responsible for the generation of ouroxygen?A. amoebaB. phytoplanktonC. protozoaD. zooplankton The type of fat consumed is more important than the amount of fat consumed.a. Trueb. False Which statements are true of the human impact on the environment of South Asia countries? Question 1: WarningPart 1You have just refused to serve a patron a shot, as it is against your venue's House Policy to serve shots after midnight and the time is now 1am. The patron is not intoxicated but is arguing with you and asks again for you to make them a shot. You need to issue a warning to the patron, to ensure they understand the reason for that policy, and what could happen if they continue to ask for the shot to be served.In your response make sure to:Speak as if you are speaking to the patron - answers provided outside of the roleplay will not be accepted;Use the appropriate tone of voice;Give the patron a WARNING; andMake attempts to defuse the situation.DO NOT just refuse service to the patron again. It must be clear you are giving them a warning.RememberExplain the reasons why you cannot serve the shot: it isn't your rule, it is the law. The house policy is there to ensure the liquor laws are complied with, and that is out of your control to change. Reason with the patron, explain that you cannot break the rules, or you will get fined, or even lose your job. Also, tell the patron if they don't follow the rules, they can get fined or ejected, even if they aren't intoxicated; if they are being unruly and argumentative, the liquor laws say to refuse service, and then they are not allowed to remain in the venue.Part 2Considering the scenario in part 1, explain to the patron the consequences they may face if they continue to demand service that is against House Policy.In your response make sure to:Speak as if you are speaking to the patron - answers provided outside of the roleplay will not be accepted;Make references to what might happen to the patron if they do no not comply with the refusal to serve drinks that are against House Policy. The cost of a fishing pole has risen to $48 this week. Last week's cost was $43 . Find the percentage increase. Round your answer to the nearest tenth of a percent. Hi,Im Nyakan. Is "Weaver began to wind silk thread around some branches. " a declaritive,interrigatuve, imperative, or exclamatory What is the answer to both of these fill in the blanks One reason that allowed the Industrial Revolution to take off in England was a classroom has two rows with nine seats in each row. there are 15 students named s1, . . . , s15, where s1, . . . , s4 always sit in the front row and s5, . . . , s10 always sit in the back row. (the students s11, . . . s15 may sit in either row). in how many ways can the students be seated? In order to make a doughnut, a circular piece of dough that has a diameter of 2 inches is cut out of the center of a larger circular piece of dough that is 5 inches in diameter. What is the surface area of the top of the doughnut? You may leave your answers in terms of . A function f(x) increases by a factor of 10 over every unit interval in x and f(0)=1.Which could be a function rule for f(x)? I DONT GET can u help me Given the following information about electronegativity, which binary compound would form covalent bonds with the greatest polarity?A. HClB. LiFC. H2SD. AlH3The electronegativity of the elements are as follows: H= 2.1, Li=1.0, S=2.5, Al=1.5, F=4.0, Cl=3.0 Shaquana went shopping for a new phone. The sales tax where she lives is 3.5%. If the price of the phone is pp dollars and cents, which expression represents the total price plus tax? while the entrepreneur role describes managers who initiate change, the disturbance or crisis handler role depicts managers who must involuntarily react to conditions. T/F Joseph has a bag filled with 3 red, 3 green, 9 yellow, and 10 purple marbles. Determine P(not yellow) when choosing one marble from the bag. 8% 24% 36% 64% what twentieth century scientist revolutionized the study of psychology? If a laborer weighing 895N and carrying bricks weighing 575N to scaffold up a ladder 3.1 m above the ground how much work has he done? If he climbed the ladder in 12.0 seconds what was his power output?show your work erik is the sole owner of a small business that he started 20 years ago. although he is not yet ready to retire, he is beginning to wonder about what would happen to the business should he die or decide to retire. erik has a son who has graduated from college and worked at the firm for a few years. his son seems to enjoy the business and have a natural aptitude for the work. erik is also concerned about maintaining a significant income from the business and, if possible, freezing the value of the business for estate tax purposes. erik has already used his available applicable credit amount. which one of the following is the most appropriate form of business transfer technique for erik to use to achieve his objectives? a) a preferred stock recapitalization in which erik retains stock that pays a noncumulative dividend and that has a fixed liquidation value, with annual exclusion gifts of nonvoting stock being made to his son b) selling the business to the son on an installment sale basis, with the payments secured by the business assets c) a preferred stock recapitalization in which erik retains stock that pays a fixed cumulative dividend and that has a fixed liquidation value and voting rights, with annual exclusion gifts of nonvoting common stock being made to his son d) a cross-purchase buy-sell agreement with his son that is funded with life insurance, with the purchase price being equal to the business's value at the time of sale or death