There are 10 board members on the Community Arts Council. In how many ways can a president and treasurer be chosen

Answers

Answer 1

Answer:

45

Step-by-step explanation:

This is a combination question: how many ways can you pick 2 people from a group of 10?

Using the notation C(10, 2) for the number of combinations of 10 things chosen 2 at a time...

[tex]C(10, 2)=\frac{10!}{2!(10-2)!}=\frac{10!}{2!\cdot 8!}=\frac{10\cdot 9}{2\cdot 1}=45[/tex]


Related Questions

Help please Its about functions

Answers

I only got the first one, but i hope this helped :/

there are 20 coins.there are only twenty cent and fifty cent coins in it. the total amount in it is $7.60 .How many fifty cents coin are there

Answers

Answer:

10 twenty cent pieces and 6 fifty cent pieces for 16 coins and 5 euros.

Step-by-step explanation:

What is the property of this math problem please help

Answers

Answer:

distributive property

Step-by-step explanation:

Because distributive property formula is a(b+c) = ab + ac

meaning that w(6+5) = 6w + 5w

Pleaseee hellppp (find angle)

Answers

A = 14°

Step-by-step explanation:

We can use sine law in this situation, where

[tex]\dfrac{\sin A}{a} =\dfrac{\sin B}{b}[/tex]

where a and b are the lengths of the sides opposite the corresponding angles. From the given diagram, we can see that

[tex]\dfrac{\sin A}{7\:\text{yd}} = \dfrac{\sin 75°}{28\:\text{yd}}[/tex]

or

[tex]\sin A = \dfrac{7}{28}\sin 75° = 0.241[/tex]

Solving for the angle A, we get

[tex]A = \sin^{-1}(0.241) = 14°[/tex]

jason can type 275 characters in 5 minutes on his computer keyboard. at that rate, how many characters can he type in 20 minutes?

Answers

Answer:

1100 characters

Step-by-step explanation:

275 characters : 5 minutes

? characters : 20 minutes

5 x 4 = 20 minutes

275 x 4 = 1100 characters

1,100 characters in 20 minutes.


step by step explanation: 20 divided by 5 is 4 so then you take 275 times 4 and then finally you get 1,100

Raju wants to buy a storybook. The price of the storybook is divisible by 4, 6 and 8. What is the lowest possible price of the storybook?

Answers

Answer:

24

Step-by-step explanation:

take theL.C.M. of 4,6,8.

4=2×2

6=2×3

8=2×2×2

L.C.M.=2×2×2×3=24

A jury pool has 25 men and 19 women, from which 12 jurors will be selected. Assuming that each person is equally likely to be chosen and that the jury is selected at random, use combinations to find the probability that the jury consists of

Answers

Answer:

The number of possible juries is C(30,12) = 30! / (30–12)! * 12! = 86,493,225. The number of possible all-female juries is C(16,12) = 16! / (16–12!) * 12! = 1820. So the probability of an all-female jury is 1820 / 86,493,225 = 0.0021%.

Step-by-step explanation:

S5 when sn = 19 − 3n

Answers

Answer:

[tex]s(5)=4[/tex]

Step-by-step explanation:

I assume you mean this:

[tex]s(n)=19-3n[/tex]

Plug 5 in for n and solve:

[tex]s(5)=19-3(5)\\s(5)=19-15\\s(5)=4[/tex]

find the area of the shaded region​

Answers

Answer:

Step-by-step explanation:

2 rectangles 2.5 x 3.5 and 2 rectangles 2 x 3.5

A = 2(2.5)(3.5) + 2(2.0)(3.5)

A = 7(2.5 + 2.0)

A = 7(4.5)

A = 31.5 cm²


You're looking over your child's math homework. The directions say to
simplify the expression below. What feedback would you give your child?
Make sure to include if their answer is correct or not (1 pt) and a
description of why (1 pt). *
6x + 5x + 2y
= 11x + 2y
= 13xy
=
Your answer

Answers

Hello, hope you are having a nice day.

This answer is not correct, because we can't add different variables. For instance, if we have 11x+2y, we can't add x's and y's together.

Therefore, the correct answer would be

11x+2y

Hope it helps. Ask me if you have any queries.

~An emotional teen who helps others with joy

[tex]MagicalNature[/tex]

Good luck.

Answer:

Step-by-step explanation:

The first step is the answer, so you would have gotten 100% if you just left the question there. The next step, the second step, is quite right.

If it was, then why didn't you do that in the first step?

Think of all the possibilities

60xy

10xy

12xy

10xy + 5y

12xy + 5x

There must be many more.

And yet dear one, you have only made 1 mistake. You combined xs and ys in step 2. Here's the rule.

Don't. If they were added, let them stay added. xs go with other xs. ys go with other ys. They never go together when they are added.

The mean of the following numbers 78, 88, 89, 90, and 95 is 88.

Answers

Answer:

that's definitely true

Yes
Mean= sum of all the numbers/the total numbers

2 x 7 x 5 x 2 x ____=48

Answers

Answer:that is actually not correct

Step-by-step explanation:

2x 7 x 5 x 2 do nit equal 48 but they do equal 140

Answer:

-12/35

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Michaela walked 2/5 mile to the store in 1/4 hour. what is her walking pace in a fraction form

Answers

her walking pace would be 8/5. It is a improper fraction so it would have to be changed to a mixed number! hope this helps

Which expressions are equivalent to (13x+x−53x)−(−43x+2) ?

Answers

Answer:

4x+2

Step-by-step explanation:

(13x+x−53x)−(−43x+2)

Group all the same variables on each side.

(-39x)-(-43x+2)

-39x+43x+2

4x+2

Hope this helps :)

Answer:   x-2   &    -2-x+2x

Step-by-step explanation:

If I have a triangle and one angle is 25 degrees and I have to find the exterior angles by doing (2X+3) and (3x-17)

Answers

(2x+3)+(3x-17)+25=180
5x+11=180
X= 33.8

Plug in x into each equation.

2(33.8)+3= 70.6

3(33.8)-17= 84.4

pls help!! please tell what the independent and dependent variables are, and a function that describes the situation. I will give brainly to whoever answers these!

Answers

Step-by-step explanation:

Part A:

Given the entry fee of $35, the additional hourly rate of $5, and the total cost of $60:

The independent variable in this given problem is the number of hours, while the dependent variable is the total cost.  

An easier way to understand these concepts is to realize that the total cost depends on the number of hours you spend at the Snow Play Ski Park. The total cost changes by $5 for every hour you spend at the park.

The $35 entry fee is the constant, or the y-intercept. It is the initial cost that you have to pay given the 0 number of hours spent at the park.

Part B:

The function that represents the given situation is:

C(x) = 5x + 35

In order to determine how long can you be at the Snow Play Ski Park, substitute $60 as C(x) into the function:

C(x) = 5x + 35

60 = 5x + 35

Subtract 35 from both sides:

60 - 35 = 5x + 35 - 35

25 = 5x

Divide both sides by 5 to solve for x:

[tex]\frac{25}{5} = \frac{5x}{5}[/tex]

x = 5

Therefore, if you have $60, then you can be at the Snow Play Ski Park for up to 5 hours.  

Note:

Please feel free to change the letter that represents the function to f ( x ) for Part B, if needed.

John has $50 he spent 1/5 of it on a book and 1/10 on a flashlight how much money did he have left​

Answers

He has 35 dollars left

Which is the slope of the line that passes through the points (2,10) and (5,8)?

Answers

Answer:

Slope = (Y2 - Y1) / (X2 -X1)

Slope = (8 -10) / (5 -2)

Slope = -2 / 3

Slope : -2/3

————————

HELP FAST!
Is it possible to form a triangle with side lengths 3.5, 3.5, and 9? If so, will it be scalene, isosceles, or equilateral? ​

Answers

Answer:

Step-by-step explanation:

There is an inequality for a triangle with sides a; b; c that must always hold :a+b>cb+c>aa+c>b Using this , let 's check if there is a triangle with sides 3,5 ; 3,5 ; 93,5+3,5<9 From what we can conclude that such a triangle does not exist

And what is said in the problem is that it is possible to make an isosceles or equilateral out of it , it is said the other way around to get it . In fact, this triangle will not exist

9 Use the ALEKS calculator to write as a percentage. 9.64 Round your answer to the nearest tenth of a percent. % ?​

Answers

Answer:

964%

When rounded, answer will be 960%.

Jeanine Baker makes floral arrangements. She has 22 different cut flowers and plans to use 6 of them. How many different selections of the 6 flowers are​ possible?

Since the order of the flowers does not​ matter, this is a combination of 22 things taken 6 at a time.

Answers

Answer:

16

Step-by-step explanation:

Pete says the relationship between the amount he weighs and his age are proportional do you agree or disagree? explain

Answers

Answer:

Disagree

Step-by-step explanation:

I dont think this is a math question but answering it in a science point of view it would make sense to disagree with Pete. There is a lot of factors that go into the weight of a person such as gender, age, body frame, and height. Lots of people can vary which is why its not proportional

what is the sum of 6/12 and 1/2

Answers

Answer:

1

Step-by-step explanation:

Simplify 6/12 down to 1/2

1/2 + 1/2 = 1

Find the value of x in each case.​

Answers

Answer:

Step-by-step explanation:

To find x

Â= 180⁰-8x (angle on a straight line)

B= 180- 9x (angle on a straight line)

:. G + Â + B = 180⁰ ( sum of angles in a triangle)

5x + 180⁰ - 8x + 180⁰ - 9x = 180⁰

5x -8x - 9x + 180⁰ +180⁰ = 180⁰

-12x + 360⁰ = 180⁰

360⁰ - 180⁰ = 12x

180⁰ = 12x ( divide both sides by 12)

x = 15⁰

Company A received 2131 more patents than Company B. Together, they received patents many patents did each company receive?

Answers

To me this problem looks incomplete, can you write it please?

can this problem be solved using the unitary method?yes or no.An oven has a maximum temperature of 220°c.what will it be in 2 days time​

Answers

Answer:

yes 25 :)

I'm sorry if I'm wrong

pree point sa inyong lahat​

Answers

Answer:

Thanksss

Step-by-step explanation:

:)

Answer:

thanks lol

Step-by-step explanation:

Giving brainliest!
Starting at sea level, a submarine descended at a constant rate to a depth of −3/4 mile relative to sea level in 5/8 minutes.

The submarine continues to descend at the same rate. What is the submarine's depth relative to sea level after the first minute?

Answers

66 because of the equation and it does 50 ‘of 90

Answer:

Step-by-step explanation:

Let r be the rate of descent in miles per minute

-3/4 miles / 5/8 minutes

-3/4 • 8/5 = -24 / 20 = -1.2 mi/min

so in one minute

-1.2 mi/min (1 min) = -1.2 miles

36,000÷?=90 PLS HELP

Answers

Answer:

Easy

Step-by-step explanation:

Answer: 36,000 divided by 90 is 400

Answer:

400

Step-by-step explanation:

KS3 year 8 maths homework.

due tomorrow,

i’m really confused..

Answers

Answer:

a) = 6:55

b) = 37

c) =15:12

Answer:

a)6:55

b)37min

c)15:12

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