Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $25 and same-day tickets cost $15. For one performance, there were 55 tickets sold in all, and the total amount paid for them was $1025. How many tickets of each type were sold?

Answers

Answer 1

Answer:

advance: 20same-day: 35

Step-by-step explanation:

You have tickets that sell for $25 and $15, and you sold 55 tickets for $1025. You want to know the number of each sold.

Setup

Let 'a' represent the number of advance tickets sold. Then 55-a is the number of same-day tickets sold. The total revenue is ...

  25a +15(55 -a) = 1025

Solution

  10a + 825 = 1025 . . . . . simplify

  10a = 200 . . . . . . . . . . subtract 825

  a = 20 . . . . . . . . . . . divide by 10; the number of advance tickets

  55 -20 = 35 . . . . the number of same-day tickets

20 advance tickets and 35 same-day tickets were sold.


Related Questions

A single ticket to the magic show costs ttt dollars, but there is a discount of 5\%5%5, percent per ticket if a group buys 101010 tickets.
The expression 10t-10\cdot 0.05t10t−10⋅0.05t10, t, minus, 10, dot, 0, point, 05, t describes the total cost of buying 101010 tickets for a group.
Match each amount in the situation with the expression that represents it.
Situation
Expression
(Kahn academy)

Answers

The  total cost for the group of ten people after discount is 10 t - 0.5 t.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Discount = 5%

Total tickets= 10

We have t represents the cost of one ticket.

So, For 10 person the cost of the ticket = 10t

Now, after discount the price of tickets

= 5% of 10t

= 0.5 t

Hence, the total cost for the group of ten people after discount is 10 t - 0.5 t.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ1

41 is 10 1/4% of what number

Answers

By the concept of percentage, 41 is [tex]10\frac{1}{4}[/tex] % of the number 400.

What is meant by percentage?

The percentage is a comparative figure denoting one-hundredth of any quantity. One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified. Percent is derived from the Latin word per centum, which means "by the hundred." In the 16th century, the Latin expression was adopted by English. Later, it was shortened to % with a period in the end. The present one-word form % was created after the period was eliminated and the two elements were combined. In essence, percentages are fractions with a denominator of 100. The percent symbol (%) is placed next to a number to indicate that it is a percentage.

Let the number be x.

Then, according to the question

[tex]10\frac{1}{4}[/tex] can be written as 41/4

So,

41/400 × x = 41

41 x = 41 ×100

x =400

To know more about the percentage, visit:

brainly.com/question/1466006

#SPJ1

What is the geometric mean of 5 and 11? * ​

Answers

For what my understanding is the geometric mean of 5 and 11 is 7.4162, since
= ( 5 x 11 ) ^0.5
= ( 55 )0.5
= 7.4162

A manufacturer of fax machines find that the cost (in dollars) generated by manufacturing x
units per week is given by the function C(x) = 0.15x²-39x+4500. How many units should
be manufactured to minimize the cost?

Answers

130 units should be manufactured to minimize the cost.

How to solve a quadratic equation using quadratic formula?Only a factorable quadratic expression can be solved using the factoring approach, and a quadratic equation with real roots can be solved using the graphing method, etc. However, the quadratic formula can be used to solve any kind of quadratic problem and gets over all these restrictions. step 1: Get into the standard form as the first step.step 2: Determine the values of a, b, and c by comparing the equation to [tex]ax^{2} +bx+c=0[/tex]Step 3: Replace the numbers in the quadratic equation, which is written as[tex]x = \frac{-b\sqrt{b^{2}-4ac} }{2a}[/tex] step 4: simplify

Calculation

by using the quadratic formula

[tex]x = \frac{-b\sqrt{b^{2}-4ac} }{2a}[/tex]

where, a = 0.15, b = -39 and c = 4500

x= [tex]\frac{-b}{2a} = \frac{39}{0.3} =130[/tex]

Hence, 130 units should be manufactured to minimize the cost of fax machines

To learn more about quadratic equations, refer to https://brainly.com/question/1214333

#SPJ1

130 units should be manufactured to minimize the cost.

How to solve a quadratic equation using quadratic formula?Only a factorable quadratic expression can be solved using the factoring approach, and a quadratic equation with real roots can be solved using the graphing method, etc. However, the quadratic formula can be used to solve any kind of quadratic problem and gets over all these restrictions. step 1: Get into the standard form as the first step.step 2: Determine the values of a, b, and c by comparing the equation to [tex]ax^{2} +bx+c=0[/tex]Step 3: Replace the numbers in the quadratic equation, which is written as[tex]x = \frac{-b\sqrt{b^{2}-4ac} }{2a}[/tex] step 4: simplify

Calculation

by using the quadratic formula

[tex]x = \frac{-b\sqrt{b^{2}-4ac} }{2a}[/tex]

where, a = 0.15, b = -39 and c = 4500

x= [tex]\frac{-b}{2a} = \frac{39}{0.3} =130[/tex]

Hence, 130 units should be manufactured to minimize the cost of fax machines

To learn more about quadratic equations, refer to https://brainly.com/question/1214333

#SPJ1

If <1 and <2 are supplementary and m <1 = 67 degrees , what is m<2?

Answers

Answer:

D

Step-by-step explanation:

supplementary angles sum to 180° , that is

∠ 1 + ∠ 2 = 180°

67° + ∠ 2 = 180° ( subtract 67° from both sides )

∠ 2 = 113°

For which value of x is line l parallel to line m?

Answers

Answer:

70

Step-by-step explanation:

If lines l and m are parallel, then using the corresponding angles theorem, the angle that forms a linear pair with angle [tex]x[/tex] is [tex]110^{\circ}[/tex].

This means that [tex]x=70[/tex].

Drag and drop each item into the appropriate space.
Given: WXYZ is a parallelogram; overline WY is a transversal
Prove: triangle WXY cong triangle YZW X
Statement Reason
1. WXYZ is a parallelogram overline WY is a transversal
2 overline XY cong overline WZ :; overline XW cong overline YZ
3 . angle WYX cong angle YWZ 4 overline WY cong overline WY
5. triangle WXY cong triangle YZW
Reflexive Property
Definition of a parallelogram
ASA
Alternate interior angles are
Given

Answers

Ok in order from the top to the bottom:


Given ( It is always the first )

Definition of Parallelogram

Alternate interior angles are congruent

Reflexive property

ASA (angle side angle)



A company gives yearly raises to their employees. The salaries at the company are based on the equation below, where S is the salary before taxes and t is the time since the date of hire in years.

S = $33,113 + $600t

What is the minimum number of years an employee would have to stay to make a salary of over $40,000 per year?
A. 13 years
B. 12 years
C. 11 years
D. 1 year

Answers

Based on the equation, the minimum number of years an employee would have to stay to make a salary of over $40,000 per year is B. 12 years.

What is an equation?

An equation is a mathematical statement that defines that two or more mathematical expressions are equal or equivalent.

Equations show equality using the equation symbol (=).

When one expression is more or less than, or not equal to another expression, it is an inequality.

If S = $33,113 + $600t

Where S = the salary before taxes

t = the time since the date of hire in years.

For S ≥ $40,000:

$33,113 + $600t ≥ $40,000

$600t ≥ $40,000 - $33,113

$600t ≥ $6,887

t ≥ 11.48

t = 12 years

Thus, using the given equation, an employee needs to stay at the work for 12 years to earn more than $40,000 a year.

Learn more about equations at https://brainly.com/question/2972832

#SPJ1

Only 9 people can be in a roller coaster cart. How many people can fit in nine train carts

Answers

Answer:

81 people

MARK AS BRAINLIEST

2. Clare was solving an equation, but when she checked her answer she saw her solution was incorrect. It
turns out Clare's work has three mistakes!
8(2 + 7x)
10+56x
10+56x
10
12
3
16
3x - (2+5x)
3x - 2 + 5х
8r-2
642-2
64x

Answers

The mistakes that Claire made in solving the equation are;

1) She did not use distribution property correctly in step 1 as 2(8) = 16 and not 10.

2)  - (2+5x) should have been simplified to -2 - 5x and not -2 + 5x

3) 10 + 56x = 8x - 2 should have been 12 = -64x and not 12 = 64x

How to solve Linear Equations?

We want to solve the equation 8(2 + 7x) = 3x - (2 + 5x)

Step 1; Expand the bracket on the left hand side and right hand side to get; 16 + 56x = 3x - 2 - 5x

Step 2; Simplify the right hand side to get;

16 + 56x = -2x - 2

Step 3; Rearrange to get;

16 + 2 = -58x

Step 4; Add up the left hand side to get;

18 = -58x

Step 5; Divide both sides by -58 to get;

x = -9/29

Read more about Linear Equations at; https://brainly.com/question/13738662

#SPJ1

Complete question is;

Clare was solving an equation, but when she checked her answer she saw her solution was incorrect. It

turns out Clare's work has three mistakes!

find all three mistakes explain the below

8(2 + 7x) = 3x - (2+5x)

10 + 56x = 3x - 2 + 5х

10 + 56x = 8x - 2

10 = 64x - 2

12 = 64x

x = 3/16

Judy mom prepared 30 sandwiches for her friends. Her mom added chicken breast to 2/5 of the buns. How many chicken sandwiches did her mom make.

Answers

Answer: Judy’s mom made 12 sandwiches.
Explanation: 30 divided by 5 is 6. Now we know how much 1/5 is worth. Now you just multiply 6 by 2 because there are 2 fifths.

30 divided by 5 = 6
6 x 2 = 12

what is the inequality of the length of a rectangle is 1 unit more than its width.the width of the rectangle is 2 units and the length of the wire that is used to make this rectangle is a maximum of 57 units. what represent this situation using an inequality

Answers

Representing length and width relationship of a rectangle, and the perimeter given by length of wire using inequality gives

Perimeter = 2(L + W) ≤ 57 units

How to determine the inequality that shows the length and width of a rectangle

The perimeter of a rectangle, P is given by the formula

P = 2(L + W) ≤ 57 units of wire

width, W = 2 units

length, L = 1 + W

= 1 + 2

= 3

The perimeter of the rectangle is given by

P = 2(L + W)

plugging the values of L and W

P = 2 (3 + 1)

P = 2 (4 )

P = 8 units

Learn more about inequalities here:

https://brainly.com/question/29007832

#SPJ1

What is the image point of (- 3, - 2) after the transformation r x-axis R 270^ ?

Answers

The image point of the point (-3, -2) after the transformation r x-axis R 270° is; (3, -2).

Transformations

It follows from the task content that the image point of the pair of coordinates given is to be determined.

Given point is; (-3, -2).

Hence, after a reflection over the x-axis; we have; (-3, 2).

Also, after a rotation of 270°, it follows that we have; (x, y) ==> (-x, -y).

Therefore, the image point is; (-(-3), -(2)).

The image point is therefore; (3, -2).

Read more on transformations;

https://brainly.com/question/1462871

#SPJ1

ALGEBRA 1 HW!! PLEASE HELP I WILL GIVE BRAINLYEST​

Answers

The value of constant C is 50.

Explain linear equation.

Equations with a maximum degree of one are referred to as linear equations. According to this rule, a variable in a linear equation cannot have an exponent greater than 1.

A linear equation's graph is always depicted as a straight line. There are linear equations for one variable and two variables, respectively.

Given, the linear equation is 12.5x+5y = C

Here, constant C.

Consider one points from given table x = -2 and y = 15,

Putting the value of x and y,

C = 12.5×(-2) + 5×15

   = -25 + 75

   = 50

For point, x = 0 and y = 10,

Putting the value of x and y,

C = 12.5×0 + 5×10

   = 50

For point, x = 2 and y = 5,

Putting the value of x and y,

C = 12.5×2 + 5×5

   = 25 + 25

   = 50

Given, x = 4 and y = 0,

Putting the value of x and y,

C = 12.5×4 + 5×0

   = 50

Therefore, the value of constant C was found to be 50.

To know more about linear equations, visit:

https://brainly.com/question/11897796

#SPJ1

What’s the answer???

Answers

Answer:

2nd

Step-by-step explanation:

Five thousand dollars is deposited into an ordinary annuity after each quarter for 3 years. The account pays 6
percent interest compounded quarterly. What is the future value of the account in 3 years?

Answers

The future value of the account in 3 years is $15,918.

What is a future value?

The worth of a current asset at some point in the future based on an estimated rate of growth is known as future value (FV). For investors and financial planners, the future value is crucial because they use it to predict how much an investment made now will be worth in the future.

Here, we have

FV  =C×[ ((1+i)ⁿ −1)/i]

where:

C = cash flow per period

i = interest rate

n = number of payments

By applying the future value formula, we get

= ​$5,000×[ ((1+0.06)³ −1)/0.06 ]

= $5,000×3.1836

= $15,918

​Hence, the future value of the account in 3 years is $15,918.

To learn more about the future value from the given link

https://brainly.com/question/24703884

#SPJ9

what is the distance between 2 + x and 2?

Answers

Answer:

The difference is the what the sum of 2+x is

Step-by-step explanation:

suppose x=3 2+3 = 5

the difference between 5 and 2 is 3

If you draw two cards from a standard deck of 52 cards without replacement, find
P (Queen ⋂ Queen).

Answers

The probability of drawing two queens without replacement from ths standard deck is 1/221.

What is probability?

Probability is the likelihood that an event will occur.

In a standard deck of cards, the total number of cards is 52.

There are 4 queens, the probability of drawing the first queen is 4/52.

After the first draw, there'll be 3 queens left and 52 cards. Therefore, the probability will be:

= 4/52 × 3/51

= 1/13 × 1/17

= 1/221

The probability is 1/221.

Learn more about probability on;

brainly.com/question/24756209

#SPJ1

Construct a rational function that has a vertical asymptote at x = 3 and a removable discontinuity at x = -2. Explain how you determined your answer.

WILL GIVE BRAINLYIST

Answers

The rational function is (x + 2)/(x - 3)(x + 2) which has a vertical asymptote at X = 3, and a removable discontinuity at x = -2.

Function

The function is referred as a mathematical expression that defines a relationship between one variable and another variable.

Given,

Here we need to construct a rational function that has a vertical asymptote at x = 3 and a removable discontinuity at x = -2.

Through the given question, we have been given that the rational function that has a vertical asymptote at x = 3, and a removable discontinuity at x = -2.

Here the x = 3 is a vertical asymptote.  

So the one factor in the denominator is (x - 3),

And the discontinuity at x = - 2 can be removed, so the another common factor in the numerator and denominator is x+2.

Therefore, the rational function would be :

f(x)  = (x + 2)/(x - 3)(x + 2)

So, the rational function would be (x + 2)/(x - 3)(x + 2).

To know more about Function here.

https://brainly.com/question/5975436

#SPJ1

Is -4 a solution to the following equation? 4 + 3(x + 2) = 12x + 20 -4x

Answers

Answer:

-4 is not a solution to the following equation.

Step-by-step explanation:

It you replace x with -4 on both sides of the equation you get -2=-12 and they are not equal to each other. Therefore, -4 is not a solution to the equation.

if after 40 month amount of 2375 is received by 15/2% interest rate, how much is principal ?​

Answers

The principal is 1900

From the question, we have

after 40 month amount of 2375 is received by 15/2% interest rate

T = 40/12 = 10/3

amount = 2375 = P+I

R = 15/2%

amount = P+I

2375 = P+(PRT)/100

2375 = P(1+(RT)/100)

substituting the value  we get

2375 = P(1+(25)/100)

2375 = P*125/100

P = 2375*100/125

P = 1900

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

To learn more about multiplication visit: https://brainly.com/question/5992872

#SPJ9

Which expression uses the commutative property of addition and the associative property of
multiplication to rewrite the expression 3 (28) +7?
O 7+(3-2).8
O 3 (8-2)+7
O 7+3 (16)
O (3-2) 8+7

Answers

The expression that uses the commutative property of addition and the associative property of multiplication to rewrite the expression 3 (28) +7  is 7+(3-2).8

The commutative property of addition states that a change in the order of the numbers being added does not affect the sum. We can define commutative property of addition as adding the numbers in any order will give the same answer.

a + b = b + a

3(2x8) + 7 = 7 + 3(2x8)

The associative property of multiplication says that while multiplying three numbers, regardless of the way the numbers are grouped, the end result will always be the same.

a(b x c) = (a x b) c

7 + 3(2x8) = 7 + (3.2)8

Therefore, the expression that uses the commutative property of addition and the associative property of multiplication to rewrite the expression 3 (28) +7  is 7+(3-2).8

To learn more about the commutative property refer here

https://brainly.com/question/778086

#SPJ9

Find D subscript x y if

y = e^(-1/x^2)

Hint: remember the definition of derivative of natural log and use chain rule

Answers

The derivative of the natural log function y = e^(-1/x^2) is

2x^(-3)e^(-1/x^2)

How to solve for the derivative

The given function is

y = e^(-1/x^2)

The given function is rearranged as

y = e^(-1/x^2) = e^u such that u = (-1/x^2)

Applying chain rule

y = e^u

y' with respect to u = e^u

u = (-1/x^2) = -x^(-2)

u' with respect to x = 2x^(-3)

(y' with respect to u) *  (u' with respect to x)

= e^u * 2x^(-3)

plugging in the value of u

=  e^(-1/x^2) * 2x^(-3)

= 2x^(-3)e^(-1/x^2)

Learn more about differentiation here:

https://brainly.com/question/25081524

#SPJ1

What is the range of the given function?
{(-2, 0), (-4, -3), (2, −9), (0, 5), (−5, 7)}
O {x|x = -5, -4, -2, 0, 2)
Oyly = -9, -3, 0, 5, 7)
{x|x = -9, -5, -4, -3, -2, 0, 2, 5, 7}
Oyly = -9, -5, -4, -3, -2, 0, 2, 5, 7}

Answers

The range of the given function is:

Range: {-9,-3,0,5,7}

We are given ordered pair of set (x,y)

where, first value of ordered pair shows domain of function and second value of ordered pair shows range.

Range: It is output value of function.

Ordered pair: {(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}

We can write as:

f(-2)=0,     f(-4)=-3,   f(2)=-9,   f(0)=5,    f(-5)=7

The values of f(x) are the range of function.

We will make a set of second value of all ordered pair of given set.

Range: {-9,-3,0,5,7}

Hence we get the required range of the function.

Learn more about Range here:

brainly.com/question/26098895

#SPJ9

(2/7 , −3) ; r = 6 standard form of circle

Answers

The graph of a circle is completely determined by its center and radius. Standard form for the equation of a circle is (x−h)2+(y−k)2=r2. The center is (h,k) and the radius measures r units.

HELP WILL GIVE BRAINLYEST!!!!!!! 30 POONTS Which of the following is the fourth vertex needed to create a rectangle with vertices located at (−4, −25), (−4, −12), and (−7, −12)?

(−12, 7)
(−7, −25)
(−7, 12)
(−25, 7)

Answers

Answer: I believe the answer is (-7, 12)

Step-by-step explanation:

Answer:

-7,12

Step-by-step explanation:


6. Solve the following equation: 28 ÷ 7 + 2 × 3 = ?
O A. 12
OB. 10
OC. 24
O D. 18

Answers

Answer:

B. 10

Step-by-step explanation:

According to BODMAS rule, the brackets have to be solved first followed by powers or roots, then Division, Multiplication, Addition, and at the end Subtraction.

[tex]\rm \implies 28 \div 7 + 2 \times 3 \\ \\ \rm \implies 4 + 2 \times 3 \\ \\ \rm \implies 4 + 6 \\ \\ \rm \implies 10[/tex]

Quinn is baking sweet potato pies. The table shows the ratio of cups of sugar to number of pies.


Number of Pies 3 5 9
Cups of Sugar 1 and one half 2 and one half 4 and one half


How many cups of sugar will Quinn need to make 12 pies?
5 and one half cups
6 cups
6 and one half cups
8 cups

Answers

The ratio of 6 cups of sugar to pie that Quinn needs to make 12 potato pies will be 6 cups.

What is ratio?

Ratio basically compares quantities, that shows value of one quantity with respect to other quantity.

If a and b are two values, there ratio will be a:b.

Given that,

For 3 potato pies required sugar is 3/2,

For 5 potato pies required sugar is 5/2,

for 9 potato pies required sugar is 9/2,

From the given information,

For 1 potato pies required sugar is 1/2

⇒For 12 potato pies required sugar=12×1/2=6

To make 12 potato pies,  required sugar will be 6.

To learn more on Ratio :

https://brainly.com/question/13419413

#SPJ1

Khalil filled an ablum with 104 postcards. If there are 4 postcards on each page, how many pages are in the ablum?

Answers

104/4 = 26 pages in the album

Step-by-step explanation:

so there sre 104 postcards .so what we do is 104 ÷ 4 post cards on each page , it will then = to 26 pages

Show that the terms of the series ∑n=1log 5r are in AP. Hence, find the sum of the first twenty terms of the series and also the least value of n for which the sum to n terms exceeds 400

Answers

The required sum of the first twenty terms of the series ∑n=1log 5r are in AP will be 32.37.

What are the properties of logarithms?

There are four basic properties of logarithms:

logₐ(xy) = logₐx + logₐy.

logₐ(x/y) = logₐx - logₐy.

logₐ(xⁿ) = n logₐx.

logₐx = logₓa / logₓb.

We have been given that the terms of the series ∑n=1log 5r are in AP.

As per the given question,

∑n(log(5r)) = log(5·1)+log(5·2)+log(5·3)+...+log(5·n)

n = 20

∑log(5r) = log(5·1)+log(5·2)+log(5·3)+...+log(5·20)

Using the property of logarithmic logₐ(xy) = logₐx + logₐy,

∑log(5r) = (log(5)+log(1)) + (log(5)+ log(2))+(10g(5)+Log(3))+ ...(10g(5)+Log(20))

∑log(5r) = (log(5)+log(5)+log(5)+...+log(5)

∑log(5r) = 20·1og(5)+((log(1)+log(2)+log(3)+...+log(20)

Using property of logarithmic logₐ(xy) = logₐx + logₐy,

∑log(Sr)=20·1og(5)+log(1×2×3×...20)

∑log(5r) = 20-log(5)+log(201)

∑log(5r) = 32.365524703598

Rounded to the nearest hundredth decimal,

∑log(5r) = 32.37

Thus, the required sum of the first twenty terms of the series ∑n=1log 5r in AP will be 32.37.

Learn more about the logarithmic properties here:

brainly.com/question/24211708

#SPJ1

Other Questions
It is expected that 750 people will attendthe concert. In fact, 600 people attended.600 is what percent of the expectednumber? cook-it rice cooker has a mean time before failure of 38 months with a standard deviation of 4 months, and the failure times are normally distributed. what should be the warranty period, in months, so that the manufacturer will not have more than 7% of the rice cookers returned? round your answer down to the nearest whole number. what type of mutation in this non-autonomous te (ds) would allow it to move in the presence of an autonomous te (ac)? PLEASEE HELPPP GIVING ALL MY POINTS after a period of exercise, a person will breathe heavily for some time after the activity has ceased. what is happening during this time as the oxygen debt is being paid? your company will generate $77,000 in annual revenue each year for the next seven years from a new information database. if the appropriate discount rate is 6.75 percent, what is the present value? ( A 30.0 kg object is falling in air and experiences a force due to air resistance of 50.0 N. What is the net force acting on the object? what is the first piece of evidence that the mitochondria and chloroplast were once their own organism? peter's parents recognized early in his life that he was musically gifted, so they took him to concerts, provided music lessons, and bought him a viola. this is an example of a/n: Many documents use a specific format for a person's name. Write a program that reads a person's name in the following format:firstName middleName lastName (in one line)and outputs the person's name in the following format:lastName, firstInitial.middleInitial.Ex: If the input is: the engine of a locomotive exerts a constant force of magnitude 6.5 105 n to accelerate a train to 60 km/h. determine the time taken for the train of mass 1.4 107 kg to reach this speed from rest. World History! Examples of imperialism identify which type of imperialism is used will do brainliest! please help!!! 1. What amount of revenue would be included in Adgers flexible budget for May?2. What amount of employee salaries and wages would be included in Adgers flexible budget for May?3. What amount of travel expenses would be included in Adgers flexible budget for May?4. What amount of other expenses would be included in Adgers flexible budget for May?5. What net operating income would appear in Adgers flexible budget for May?6. What is Adgers revenue variance for May? (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values.)7. What is Adgers employee salaries and wages spending variance for May? (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values.)8. What is Adgers travel expenses spending variance for May? (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values.)9. What is Adgers other expenses spending variance for May? (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values.)10. What amount of revenue would be included in Adgers planning budget for May?11. What amount of employee salaries and wages would be included in Adgers planning budget for May?12. What amount of travel expenses would be included in Adgers planning budget for May?13. What amount of other expenses would be included in Adgers planning budget for May?14. What activity variance would Adger report in May with respect to its revenue? (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values.)15. What activity variances would Adger report with respect to each of its expenses for May? (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values.)- Employee Salaries and Wages: ___________- Travel Expenses: __________- Other Expenses: __________ what is the best way to combine the sentences below using a participle phrase? Dana creates some amazing pictures. she has a very successful photography businessa. Dana is a creative photographer who has a very successful photography business.b. creating amazing pictures, Dana grew a very successful photography business.c. Dana owns a successful photography business and takes creative pictures. REMEMBER 4. What is the difference in length? Carrot 14 cm Show the difference in length two ways. Write an equation for each. The difference in length is Pea pod 5 cm cm. the ability to carry an electrical charge along the cell is called . also known as responsiveness, is a characteristic of all cells but more highly developed in muscle and nerve cells. muscles can pull bones closer to one another and increase the motility of some organs. this is due to the property of . skeletal muscles can stretch up to three times their contracted length. this is called . muscles can stretch and, when released, return to their original, shorter length. this property is referred to as . iupac nameanswerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr Use the graph of y=f(x) to graph the function g(x)=f(x + 1)-3.y = f(x)4Choose the correct graph of g below.OAOC.B.O D.Q what are the coordinates of the circumcenter of ABC A(-5,-4) B(3,-4) C(-1,6) Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.(1, 2), (2, 4), (3, 8), (4, 16)Part A: Is this data modeling a linear function or an exponential function? Explain your answer. (2 points)Part B: Write a function to represent the data. Show your work. (4 points)Part C: Determine the average rate of change between day 2 and day 4. Show your work. (4 points)