PLEASE I NEED AN ANSWER QUICKLY
Let c = children's and a = adults.
Mathland Theatre charges $5.00 for children's tickets and $9.00 for adult tickets. One night the theatre sold 290 tickets and took in $2250. How many of each type of ticket were sold?

Answers

Answer 1

Answer:

90 children's tickets and 200 adult tickets were sold.

Step-by-step explanation:

Let's use the variables c and a to represent the number of children's and adult tickets sold, respectively.

From the problem, we know that:

The total number of tickets sold is 290: c + a = 290

The total revenue from ticket sales is $2250: 5c + 9a = 2250

We now have two equations with two unknowns. We can use substitution or elimination to solve for c and a. Here's one way to use elimination:

Multiply the first equation by 5 to get 5c + 5a = 1450

Subtract the above equation from the second equation to eliminate c: 5c + 9a - (5c + 5a) = 2250 - 1450

Simplify: 4a = 800

Solve for a: a = 200

Substitute a = 200 into the first equation to solve for c: c + 200 = 290

Simplify: c = 90

Therefore, 90 children's tickets and 200 adult tickets were sold.


Related Questions

The 6-inch segment of tape stores 4608 bits of data and it is a portion of a tape reel that is 1200 feet long. How much data can be stored on the entire reel?

Answers

The answer is explain the animal link and it is 600

The data can be stored on the entire reel is 66,355,200 bits.

What is Unit Conversion?

Conversion could appear difficult, but this tip will make it simple for you to convert any unit. The fundamental rule is to multiply when converting from a larger unit to a smaller unit. Divide if you need to go from a smaller to a larger unit.

We have,

The 6-inch segment of tape stores 4608 bits of data.

Now, length of of reel = 1200 feet

= 1200 x 12

= 14,400 inch

So, the data that can be stored in reel

= 14,400 x 4608

= 66,355,200 bits

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what is 2/5 x 1/8 please help

Answers

Answer:

1/20

Step-by-step explanation:

To multiply two fractions, you simply multiply their numerators (top numbers) together and multiply their denominators (bottom numbers) together.

So, for 2/5 x 1/8, we have:

(2/5) x (1/8) = (2 x 1) / (5 x 8) = 2/40 = 1/20

Therefore, 2/5 x 1/8 is equal to 1/20.

Multiplying the numerators and denominators directly is the most straightforward method to solve the multiplication of fractions. However, there is another method called cross-multiplication, which you can use to solve this problem as well.

To use cross-multiplication, you multiply the numerator of the first fraction by the denominator of the second fraction, and then multiply the denominator of the first fraction by the numerator of the second fraction.
Then, you simplify the resulting fraction.

So, for 2/5 x 1/8, we have:

(2/5) x (1/8) = (2 x 1) / (5 x 8)

Cross-multiplying, we get:

(2/5) x (1/8) = (2 x 1) / (5 x 8) = (2 x 1) / (5 x 8) = 2/40

Simplifying the fraction 2/40, we can divide both the numerator and denominator by 2, to get:

2/40 = 1/20

Therefore, using cross-multiplication, we get the same answer as before:

2/5 x 1/8 is equal to 1/20.

HELP PLEASEE

Find the value of x to the nearest tenth of a unit.

Answers

Check the picture below.

[tex]\tan(18^o )=\cfrac{\stackrel{opposite}{x}}{\underset{adjacent}{18}} \implies 18\tan(18^o)=x \implies 5.8\approx x[/tex]

Make sure your calculator is in Degree mode.

Use the order of operations
(-2 + 1)² + 5(12 ÷ 3) - 9.

Answers

Answer:

12

Step-by-step explanation:

PEMDAS (Parenthesis, exponents, multiplication/division, addition/subtraction

(-1)² + 5(4) - 9

1 + 5(4) - 9

1 + 20 - 9

=12

David's gasoline station offers 4 cents off per gallon if the customer pays in cash and does not use a credit card. Past evidence indicates that 40% of all customers pay in cash. During a one-hour period, 15 customers buy gasoline at this station. What is the probability that more than 8 and less than 12 customers pay in cash?

Answers

The probability that more than 8 and less than 12 customers pay in cash is 0.376 or 37.6%.

What is the probability?

The probability that more than 8 and less than 12 customers pay in cash is calculated using the binomial probability formula:

P(x) = (n choose x) * p^x * (1-p)^(n-x)

where:

n is the number of trials = 15

x = customers who pay in cash

p = paying in cash, which is 0.4 according to the problem

The probability that more than 8 and less than 12 customers pay in cash. is the sum of the probabilities of 9, 10, and 11 customers paying in cash.

Using the binomial probability formula:

P(x) = (15Cx) * 0.4 * (1 - 0.4)¹⁵⁻ˣ

P(9) = 15C₉ * 0.4⁹ * 0.6⁶

P(9) = 0.212

P(10) = 15C₁₀ * 0.4¹⁰ * 0.6⁵

P(10) = 0.121

P(11) = 15C₁₁* 0.4¹¹ * 0.6⁴

P(11)= 0.043

Hence;

P(9 or 10 or 11) = 0.212 + 0.121 + 0.043

P(9 or 10 or 11) = 0.376

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what is the radius of this shape?

Answers

Answer 7/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

The radius is the length from the center dot to the circle.

They gave you the radius

r=6 1/4 in

Jake bought 2 packets of bread for 3 dollars. The cost of each packet of bread is _______ dollars.

Answers

Answer:

$1.50

Step-by-step explanation:

3÷2=1.50

Find the values of x and y.
E
25
24
20
D
G

Answers

The value of x and y are 32.02 and 13.3 respectively.

What is Pythagoras theorem?

Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

If a and b are the legs of the triangle and c is the hypotenuse, then,

c² = a²+b²

Triangle EFG is a right angled triangle so also triangle DEG

Therefore,

x² = 25²+20²

x² = 625 + 400

x² = 1025

x = √1025

x = 32.02

Also,

y² = 24² - 20²

y² = 576 - 400

y² = 176

y = √176

y = 13.3

Therefore the value of x and y is 32.02 and 13.3 respectively.

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Numbers from 1 to 30 are painted on white balls and mixed by a
machine. One ball is selected at random. Write each probability as a
fraction, a decimal, and a percent. Round decimals to the nearest
hundredth and percents to the nearest percent.
7. Plodd)
8. Plone-digit number)
9. P(negative)
11. P(divisible by 6)
13. P(1 or 30)
10. P(ending in 0)
12. P(two-digit number)
14. P(greater than 17 but less than 26)

Answers

7. Plodd) = 50%

8. Plone-digit number) = 30 percent

9. . P(negative) = 0

11. P(divisible by 6) = 17%

13. P(1 or 30) = 7%

How to solve the probability

7. The probability of selecting an odd number from 1 to 30 can be found by counting the number of odd numbers in that range, which is 15, and dividing it by the total number of balls, which is 30. Therefore,

Fraction: 15/30

Decimal: 0.50

Percent: 50%

8. The probability of selecting a one-digit number from 1 to 30 can be found by counting the number of one-digit numbers in that range, which is 9, and dividing it by the total number of balls, which is 30. Therefore,

Fraction: 9/30

Decimal: 0.30

Percent: 30%

9. There are no negative numbers in the range from 1 to 30, so the probability of selecting a negative number is 0.

Fraction: 0/30

Decimal: 0

Percent: 0%

11. To be divisible by 6, a number must be divisible by both 2 and 3. There are 15 numbers in the range from 1 to 30 that are divisible by 2, and 10 numbers that are divisible by 3. However, there are only 5 numbers that are divisible by both 2 and 3, which are 6, 12, 18, 24, and 30. Therefore,

Fraction: 5/30

Decimal: 0.17

Percent: 17%

13. The probability of selecting either 1 or 30 is the same as the sum of the probability of selecting 1 and the probability of selecting 30. Since there is only one ball with each of these numbers,

Fraction: 1/30 + 1/30 = 2/30

Decimal: 0.07

Percent: 7%

10. To end in 0, a number must be a multiple of 10, which means it must be one of the numbers 10, 20, or 30. Therefore,

Fraction: 3/30

Decimal: 0.10

Percent: 10%

12.  A two-digit number can be any number from 10 to 30, except for 10 and 30 themselves. Therefore,

Fraction: 18/30

Decimal: 0.60

Percent: 60%

14 The numbers greater than 17 but less than 26 are 18, 19, 20, 21, 22, 23, 24, and 25. Therefore,

Fraction: 8/30.

Decimal: 0.27

Percent: 27%

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Casey has 5 shirts, 3 skirts, and 2 blazers. Make a tree diagram, of any possible outfits that Casey can make.​

Answers

The possible outfits that Casey can make is 30 and  this is shown in the image that is attached.

What is the outfits  about?

The tree diagram is known to be one that shows the hierarchical organization of tasks and subtasks that must be done to achieve a goal. The branching diagram start with a single element that divides into two or more, each of which further divides into two or more, and so forth.

Based on the question, Casey has:

5 shirts

3 skirts

2 blazers

Therefore, to make a tree diagram of any possible outfits that Casey can make.​, there are a total of:

5 x 3 x 2

= 30

So, the possible outfits that Casey can make is 30.

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Given the triangle ABC at points A = ( 2, 2 ) B = ( 4, 5 ) C = ( 6, 3 ), and if the triangle is first reflected over the y axis, and then over the x axis, find the new point A''.

Answers

To reflect a point over the y-axis, we negate the x-coordinate of the point. To reflect the resulting point over the x-axis, we negate the y-coordinate of the point. So, to find the new point A'', we can perform these operations on the original point A:

1. Reflect A over the y-axis to get A': (-2, 2)

2. Reflect A' over the x-axis to get A'': (-2, -2)

Therefore, the new point A'' is (-2, -2).

En una correctera tiene una longitud 65 millas
¿cuántos metros mide
esa carretera?

Answers

If the length of the road in miles is 65, then in meters is approximately 104607.1 meters.

To convert miles to meters, we need to use a conversion factor. There are 1609.34 meters in one mile. So, to convert 65 miles to meters, we can multiply 65 by 1609.34.

65 miles * 1609.34 meters/mile = 104607.1 meters

The units when making conversions. Miles and meters are units of length, but they are not the same. To convert from one unit to another, we need to use a conversion factor that relates the two units. In this case, we used the conversion factor of 1609.34 meters per mile to convert from miles to meters.

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In ΔPJK,
help me please on god.

Answers

The value of the variable x for the triangle base length is derived as 5.

How to calculate for the variable x of the triangle

Using the proportionality theorem for evaluating x as follows:

JD/DK = PJ/PK

3x/(4x + 1) = 20/28

3x × 28 = 20(4x + 1) {cross multiplication}

84x = 80x + 20

84x - 80x = 20 {collect like terms}

4x = 20

x = 20/4 {divide through by 4}

x = 5

Therefore, the value of the variable x for the triangle base length is derived as 5.

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Help solving

5/8 + 11/12 =

Answers

Answer:

37/24

Step-by-step explanation:

You have to find the common denominator.

The graph to the right is the uniform probability density function for a friend who is x minutes late:

​(a) Find the probability that the friend is between 10 and 30 minutes late.

​(b) It is 10 A.M. and there is a 20​% probability the friend will arrive within how many​ minutes?

Answers

Answer for (a): 2/3

Explanation:
In a uniform distribution, all probabilities are equal. In this case, the probability for being ‘x’ minutes late is each 1/30. Therefore, the probability that the friend is between 10 and 30 minutes late is 20/30 because we exclude the first 10 minutes. That can be simplified down to 2/3.

Answer for (b): 6 minutes

Explanation:
The answer is simply 20% of 30. Since 30x0.2 is 6, the friend will arrive within 6 minutes.

A rectangular field is four times as long as it is wideIf the perimeter of the field is 300yards, what are the field's dimensions?

Answers

Answer:

Length = 120 yards, width = 30 yards.

Step-by-step explanation:

Lets use [tex]l[/tex] for length and [tex]w[/tex] for width.

The perimeter of a rectangular field is [tex]2l + 2w[/tex]. We can construct the following equations:

[tex]4w = l[/tex].

[tex]2l + 2w = 300.[/tex]

If we plug [tex]4w[/tex] in for [tex]l[/tex] into the second equation, we get:

[tex]2w + 2(4w) = 300.[/tex]

[tex]2w+8w = 300.[/tex]

[tex]10w = 300.[/tex]

[tex]w= 30.[/tex]

Plug 30 in for [tex]w[/tex] into the first equation.

[tex]l = 4*30 = 120.[/tex]

Length = 120 yards, width = 30 yards.

Correct answer gets brainliest!! So please help!!

Answers

Answer:

b

Step-by-step explanation:just do it heh

Answer:

The Correct answer is D

the lower whiskers from 10 to 28

A spinner was spun 900 times using Spin Spinner on the TI-84
calculator, with 1 representing blue, 2 representing purple, 3
representing green, and 4 representing red as shown

what was the experimental
probability of landing on green?
a 23.80%
b 26.80%
C 22.80%
d 24.80%

Answers

The experimental probability of the spinner landing on green is calculated as follows:

p = Number of times that the number 3 was generated/900 x 100%.

How to calculate a probability?

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

A green result is obtained when the number on the calculator is of 3, hence the experimental probability of the spinner landing on green is calculated as follows:

p = Number of times that the number 3 was generated/900 x 100%.

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Triangle XYZ is drawn with vertices X(4, −5), Y(6, −1), Z(10, −8). Determine the line of reflection if X′(4, 5).

y-axis
x-axis
y = 1
x = −4

Answers

The line of reflection is x-axis.

Given that, the triangle XYZ is drawn with vertices X(4, −5), Y(6, −1), Z(10, −8). we need to determine the line of the reflection if the X′(4, 5).

We know that the rule of the reflection over x-axis is

(x, y) → (x, -y)

Here, the y-intercept is changing its sign so we can say that the line of reflection is x-axis.

Hence, the line of reflection is x-axis.

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A rectangular prism measures cm by 12 cm by cm. Calculate the number of cubes with edge length cm that fit in this prism. What is the volume of the prism in ? Show your reasoning. If you are stuck, think about how many cubes with -cm edge lengths fit into .

Answers

By calculating the volume of both figures, we will see that 11,160 cubes can be fit in the prism.

Now, So we start with a rectangular prism that measures (7 + 1/2)cm by 12cm by (15 + 1/2) cm.

Hence, The volume is just the product of these 3 values,

so we get:

V = (7 + 1/2)cm × 12cm × (15 + 1/2)cm

V = 1,395 cm³

Now, a cube with an edge length of 1/2 cm has a volume of:

V' = (1/2cm)³

V' = 0.125 cm³

To see how many of the small cubes enter in the prism, we just need to take the quotient between these two volumes, this is:

V/V' = ( 1,395 cm³)/(0.125 cm³) = 11,160

This means that, 11,160 of the cubes can be fit in the prism.

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complete question is,

A rectangular prism measure 7 1/2 by 12 by 15 1/2

Calculate the number of cubes with edge length 1/2 cm that fit in this prism.

What is the volume of the prism in cm? If you are stuck, think about how many cubes with 1/2-cm edge lengths fit into 1 cm.

folue the √(x-3) ³ - 64 equation √(ac-3)solve the equation​

Answers

Solving the equation​ √(x - 3)³ - 64 = 0 for the variable x gives x = 19

Solving the equation​ for x

From the question, we have the following parameters that can be used in our computation:

√(x - 3)³ - 64

Express as an equation

So, we have

√(x - 3)³ - 64 = 0

Add 64 to both sides of the equation

√(x - 3)³ = 64

Take the cube roots of both sides

So, we have

√(x - 3) = 4

Square both sides of the equation

This gives

x - 3 = 16

Add 3 to the equation

x = 19

Hence, the solution is x = 19

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If A is the set of numbers that are multiples of 8, B is the set of multiples of 4, and C is the set of multiples of 2, which of the following is the set of integers that will be in A but not B and C?

Answers

The set of integers that will be in A but not B and C will be 24, 32, 40,

How to explain the integer

The multiples of 8 comprise a set of {8, 16, 24, 32, 40, ...}, while the multiples of 4 correspond to {4, 8, 12, 16, 20, ...} and  those of 2 are documented as {2, 4, 6, 8, 10, …}. The intersection of these two sets, B and C (B ∩ C = {4, 8, 12, 16, 20, ...}) remains unchanged.

It should be noted that to obtain the number of integers found in the multples of 8 that aren’t multiples either of 4 or 2, the intersection needs to be excluded from set A. This will yield {24, 32, 40, ...} - thus it is concluded that the integer set of multiples of 8, but not of 4 or 2, is {24, 32, 40, ...}

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Morton made 42 out of 50 free throws last season. What percent of his free throws did Morton make? Morton made % of his free throws.

Answers

Answer: morton made 84% of his free throws.

Step-by-step explanation: 50 is half of 100

•multiply 42 by 2 because 50 is half of 100

The tree diagram shows the sample space for tossing a coin three times. Which of these shows all outcomes with exactly 2 heads?

Answers

The probability of tossing exactly 2 tails is 0.375.

We have,

A coin is tossed three times.

So, the outcomes can either be a head or a tail.

The possible outcomes when a coin is tossed three times are:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Now, the Pr(tossing exactly 2 tails)

= 3/8

= 0.375

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Proba
Find the probability that a randomly
selected point within the circle falls in the
red-shaded square.
7
U
7
7
P = [?]
Enter as a decimal rounded to the nearest hundredth.
Enter

Answers

The probability that a randomly

selected point within the circle falls in the

red-shaded square is 63.7%.

How to calculate the probability

A figure is shown, in which a square is inscribed in a circle. To find the probability that a randomly selected point within the circle falls in the red shaded area (Square).

radius  = 7cm

side of square = 7√2 cm

Area of the circle = πr²

                             = 3.14 * 7²

                             = 153.86 cm²

Area of the square = side * side

                               =  7√2 * 7√2

                               = 98 cm²

= Area of square / Area of the circle

= 98 / 153.86

=  63.7%

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Answer:

63.7

Step-by-step explanation:

I entered that and got it right

Fill in the missing values to make the equations true.

Answers

The missing terms in the logarithmic equation are solved

Given data ,

Let the logarithmic equation be represented as A

Now , the value of A is

a)

log₄ 11 + log₄ 5 = log₄ ( a )

Now , the value of a is

From the logarithmic properties , we get

log A + log B = log AB

So , a = 11 + 5 = 16

b)

log₅ 3 - log₅ ( a ) = log₅( 3/5 )

From the logarithmic properties , we get

log A − log B = log A/B

So , a = 5

c)

log₇ 8 = 3 log₇ ( a )

From the logarithmic properties , we get

log Aⁿ = n log A

8 = 2³

So , a = 3

Hence , the logarithmic equation is solved

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The RSM geometry Principal test has 8 true-false questions. In how many ways can a student answer these questions?

Thank you :)

Answers

Answer:

256 ways

-------------------------

Each question can be answered either true or false, giving two possible choices for each of the 8 questions.

Therefore, the total number of ways to answer the questions is the product of the number of choices for each question, which is:

2⁸ = 256

Hawa models a can of ground coffee as a right cylinder. She measures its radius as
3/4 in and its volume as 8 cubic inches. Find the height of the can in inches. Round your answer to the nearest tenth if necessary

Answers

The height of the can in inches is 44.68 inches

Finding the height of the can in inches.

From the question, we have the following parameters that can be used in our computation:

Volume = 8 cubic inches

Radius = 3/4 inches

The volume of a cylinder is calculated as

V = πr²h

substitute the known values in the above equation, so, we have the following representation

π * (3/4)²h = 8

So, we have

h = 8π/[(3/4)²]

Evaluate

h = 44.68

Hence, the height of the can in inches is 44.68 inches

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Math, some system by elimination

Answers

The elimination method is a technique used to solve linear equations that comprise a system. The fundamental principle behind this methodology involves nullifying one of the variables.

What is the elimination method about?

It should be noted that to implement the elimination approach successfully, we must exclude either x or y, which can be accomplished by multiplying the second equation by an amount necessary to make the coefficient of y consistent in both the equations:

With x's value now discerned, we can insert it into any of the original equations to calculate y. This explains the method.

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Tom purchased a 40 lb bag of dog food knowing that in one pound there at 16 Oz in a scoop how many scoops are in the bag

Answers

Answer:

640 Oz

Step-by-step explanation:

1 Lb = 16 Oz

40 Lb • 16 Oz = 640 Oz

hope this helps

Mark brainliest , pls

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3. A recent survey was conducted concerning education level and job placement of 1030 workers. Using the following data, calculate the number of workers who meet the listed criteria. Factory Worker (F) Salesperson (S) Technical Worker (T) TAL High School Graduate (H) 100 70 80 250 Some College (C) 420 145 80 195 Some College (C) 200 80 80 360 TOTAL 445 230 355 1030 a. Number who are salespersons and have some college education b. n(FUG) n(T) C. d. n(HC) e. Number who are technical workers or salespersons and have graduated high school or attended some college Number who are high school graduates or have attended some college f. g. n(Sn T) R 8 Neck Masses and Vascular Anomalies: Where do dermoid cysts form? is it legal in france for the benefactors of an inheritance to pay a fee to the notary to unlock assets that have been willed to them There are 11 sixth graders, 10 seventh graders, and 8 eighth graders in a gym class. The gym teacher randomly selects one student to collect balls. In how many ways can choosing not a seventh grader occur? a particular am radio station broadcasts at a frequency of 1030 kilohertz. what is the wavelength of this electromagnetic radiation? m Biological theorists suggest that mood disorders may be related to low blood levels ofSelect one:a. serotonin and noradrenaline.b. testosterone.c. adrenaline and corticosteroids.d. white blood cells. ll phone manufacturers often refer to their products as mobile devices. which of the below would not be included in the folksonomy for a cell phone? group of answer choices cell. technology platform. galaxy. iphone. Derive the Utility Function to find the equation for theindifference curve.U(x, y) = (.6T.5 +.4B.5)1/.5 what's the meaning of FRC roboRIO Imaging Tool (Windows Only)? AC 43.13-1B Can be used as APPROVED data for major repairs IF: The phenotypic ratio of a dihybrid cross is {{c1::9:3:3:1}} Ight Listen I got to DO this by today and it's pretty hard I can't find answers so Try and answer this for me please.Which statement is true?A.) 2 x (4 + 2) 6 = 14 (3.5 x 2) + 4B.) 3 x (one-half x 8) 6 = 8 (one-fourth x 16) + 2C.) 6 + (2.5 x 5) 3.5 = 14 (3.5 x 2) + 8D.)8 x (4 + 9 3) = 4 x (3 + 5) + (5 x 4) what was the attempted solution for the dificulties in thre republican goverment in the post civil war 7. A, B, C are partners in a firm sharing profits and losses in the proportion of 5:3:2 their balance sheet as at 31.12. 2015 is as under Amount Assets Amount Liabilities Sundry debtors 31,000 Capitals Less provisions 500 30,500 A 80,000 B 60,000 30,000 Cash at banks 40,500 Reserve fund Stock 20,000 Sundry creditors Plant and machinery 50,000 Buildings 80,000 Total 221,000 Total 170,000 20,000 31,000 221,000 a. C. C Retires on 1st January 2016 subject to following conditions That buildings are to be appreciated by 10% b. That the provision for bad debts is to bed raised R.O 1200. That Good will is to be raised t R.O 20000 d. That the retiring partner be paid off immediately Prepare revaluation account partners' capital accounts and the balance sheet of the new firm after C. Retires e What is the shape of an object when force is applied Are sympathetic nerves innervating blood vessels normally active, and can they be modulated up or down in activity level? Find the indicated area under the standard normal curve.To the right ofz= - 2.71The area to the right ofz= 2.71under the standard normal curve isenter your response here.(Round to four decimal places as needed.) he nurse provides discharge teaching to a client diagnosed with chronic kidney disease. Which client statements indicate the teaching is effective? (Select all that apply.)1."If I follow this diet, I should lose 1 to 2 pounds per week."2."I will notify my health care provider if my legs start feeling numb or weak."3."I should take acetaminophen instead of ibuprofen if I have a headache."4."I will need to take an iron supplement to prevent being anemic due to bleeding."5."I'll keep some hard candy with me for when my mouth gets dry."6."If I quit smoking, I'll have a better chance of getting a kidney transplant." a broker has been approached by a minority, who requests to see properties in a specific section of a city. the broker refuses and indicates that the buyer would be better off in a part of the city where there is a greater concentration of that minority group. the broker's illegal conduct is known as: select one: a. blockbusting b. redlining c. panic selling d. steering Profit centers commonly use ___________ to report profit center performance: multiple choice question. divisional income statements income statements departmental income statements