the drama club held tryouts for 6 roles in a one-act play. five people auditioned for lead female, 3 for lead male, 8 for the best friend, 4 for the mother, 2 for the father, and 3 of the humorous aunt. how many different casts can be created from those who auditioned?

Answers

Answer 1

Answer:

There are 2,880 different casts that can be created from those who auditioned.

To calculate the number of different casts that can be created, we need to multiply the number of options for each role.

For the lead female role, there are 5 options.

For the lead male role, there are 3 options.

For the best friend role, there are 8 options.

For the mother role, there are 4 options.

For the father role, there are 2 options.

For the humorous aunt role, there are 3 options.

To find the total number of possiblecasts, we multiply the number of options for each role:

5 x 3 x 8 x 4 x 2 x 3 = 2,880

Therefore, there are 2,880 different casts that can be created from those who auditioned.

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Square root of 1800 x 10 to the 7th power to the 4th power
the browns boarded a train at 3.55pm. to go home from the fair. it tookthem 25minutes to get to the station from the fair . they spent 1 hour and 15 minutes at the fair. what time did they arrive at the fair
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Convert the following to mixed numbersa. 13/12b. 20/3c.9/4d.19/5e.28/6thank you!!
Can someone answer these questions.

Eric and frank want to equally share 4/3 feet of rope. What length of rope should each friend get? Explain how to use a drawing to help solve the problem.

Answers

i hope u can understand...

They both should get 1/2 of the rope, which is three. You can make a visual of one rope and one more rope divided into three boxes and color in one of the three boxes. Not sure if its right but hope it helps. :)

sam needs 4/6 cap of laundry detergent for his laundry. the cap on top of the laundry detergent holds 1/3 cup. he has1capful of detergent.does he have enough?

Answers

The answer would be No
4/6 cup of laundry is equivalent to 2/3 cup of laundry and if his cap only has 1/3 cup then he would need 2 capfuls and he only has 1

A textile company bought a piece of weaving equipment for $60,000. It is expected to depreciate at an average rate of 10% per year. a. Write an equation for the value of the piece of equipment Z after

Answers

Answer:

z = 60000(0.9)^t

Step-by-step explanation:

What's good?The equation for the price of the item over time can be written as:

z = 60000(0.9)^t

Here's what each part of the equation means:

- "z" represents the price of the item.

- The initial cost of the item is $60,000, so we start with 60000.

- The item falls at a rate of 10% per year, so we multiply the initial cost by 0.9 each year.

- "t" represents the number of years.

For example, if you want to find the price after 3 years, you would substitute t = 3 into the equation and solve for z:

z = 60000(0.9)^3

z = 60000(0.729)

z ≈ 43,740

So after 3 years, the price of the item would be approximately $43,740. Remember 3 years is just an example. Don't forget to make me the brainliest!!!

Final answer:

The equation for the value of the weaving equipment after 'n' years can be written as Z = 60000(1 - 0.10)ⁿ. For example, if you want to find the value of the equipment after 5 years, substitute n = 5 into the equation and solve for Z, which would be approximately $36,486.

Explanation:

The equation for the value of the weaving equipment after n years can be written as Z = 60000(1 - 0.10)n, where Z represents the value of the equipment and n represents the number of years.

For example, if you want to find the value of the equipment after 5 years, you would substituten = 5 into the equation: Z = 60000(1 - 0.10)5 and solve for Z.

After substituting and calculating, you would find that the value of the equipment after 5 years is approximately $36,486.

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Four points, A(0, 0), B(1, 2), C(3, 1), and D(2,-1) lie in a plane. Line AD and Line BC are BEST described as ??A) skew.

B) parallel.

C) vertical.

D) concurrent.

Answers

They are best described as parallel because if you connect points AD and then connect points BC, you will get 2 lines that are parallel to each other.

Let k = 5. What is the value of 27 – k · 2?

A.
11

B.
17

C.
24

D.
44

Answers

Given: 27-k · 2 = n

Solution: 27-5 ·2 = n
22 · 2 = n

Answer: 44 option D

Below are two different functions, f(x) and g(x). What can be determined about their slopes?f(x) Alex earns 1600 dollars in 400 hours.
x
g(x)
1
−8
5
12
9
32

Answers

Answer:

As per the statement:

Below are two different functions, f(x) and g(x).

For f(x):

Alex earns 1600 dollars in 400 hours.

$\text{unit rate per hour} = (1600)/(400) = 4$ dollars.

Slope of f(x) = 4

Now, find the slope of g(x):

Formula for slope is given by:

$\text{Slope} = (y_2-y_1)/(x_2-x_1)$

From the given tables:

Consider two values (x, g(x)) i.e,

(1, -8) and (5, 12)

Then;

$\text{Slope} = (12-(-8))/(5-1)$

⇒ $\text{Slope} = (20)/(4) =5$

⇒Slope of g(x) = 5

$\text{Slope of g(x)} > \text{Slope of f(x)}$

Therefore, the function g(x) has faster slope.

f(x) = 1600/400 reduces to 4....the slope of f(x) is 4

g(x) :
(1,-8)(5,12)
slope = (12 - (-8) / (5 - 1) = (12 + 8)/4 = 20/4 = 5...slope of g(x) is 5

so g(x) has a greater slope then f(x)

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Which of the following does not represent a function?graph of a negative parabola oriented about the y axis with y intercept at positive 6 graph of an absolute value function oriented about the y axis graph of an ellipse with x intercepts negative 8 and positive 8 graph of a line with a positive slope and y intercept of negative 6