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Svetllana [295]
3 years ago
14

Ms. Bell's mathematics class consists of 12 sophomores, 8 juniors, and 9 seniors. How many different ways can Ms. Bell create a

5-member committee of sophomores if each sophomore has an equal chance of being selected?
Mathematics
1 answer:
shtirl [24]3 years ago
7 0

Answer:

792

Step-by-step explanation:

It's a combination question. The order is of no consequence. Also the fact that there are juniors and seniors is not important either.

So the answer is

12C5

12!

====

(12 - 5)! * 5!

12 * 11 * 10 * 9 * 8

==============

5 * 4 * 3 * 2 * 1

792

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I’m confused on this one
Mashutka [201]

Greetings!

The formula for the area of any triangle is as followed:

A_{triangle}=\frac{bh}{2}

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

<u>Let Statements:</u>

Let the variable...

→ b represent the length of the base of the triangle

→ h represent the length of the height of the triangle

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

Using the information provided from the question, we can substitute its values in place of the variables and solve for the last remaining variable:

10=\frac{(4)(x+3)}{2}

Distribute the parenthesis<em> (The Distributive Property) </em>:

10=\frac{((4)(x)+(4)(3))}{2}

10=\frac{4x+12}{2}

Reduce the fraction to lowest terms:

10=2x+6

Add -6 to both sides of the equation:

(10)+(-6)=(2x+6)+(-6)

4=2x

Divide both sides of the equation by 2:

\frac{4}{2}=\frac{2x}{2}

2=x

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

The Answer to this Problem is:

\boxed{x=2}

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

I hope this helped!

-Benjamin

5 0
2 years ago
Help! I need to know how to solve this
bagirrra123 [75]
Every triangle measures 180 degrees.
In order to get the answer you need to add every equation and set it equal to 180.

2x+4+2x-9+x=180
Combine like terms.
5x-5=180
Add 5 to the other side.
5x=185
Divide by 5.
x = 37

Now, plug 37 in for every x.
Angle A: 2(37)-9
Angle B: 2(37)+4
Angle C: 37

The measures are:
Angle A = 65
Angle B = 78
Angle C = 37

Hope this helps!
7 0
2 years ago
Six students are working to simplify the expression shown.
KatRina [158]

Answer:

First one Equivalent but not simplified fully (Can combine the two y terms)

Second: Equivalent but not simplified fully (Can combine the two x^2 terms)

Third: Equivalent and simplified fully

Fourth: Not equivalent (y term is not correct)

Fifth: Not equivalent (x^2 term is not correct and the constant terms [ones without variables] can be combined)

Sixth: Not Equivalent (y term is not correct and the constant terms can be combined)

Step-by-step explanation:

You just need to know if two terms have the same variable they can be added or subtracted.  But if it is say x and x^2 it cannot, they need to be brought to the same power as well.  or if there is a term with xy, it can only be added and subtracted to other xy terms

7 0
3 years ago
Read 2 more answers
HELP ASAP PLS IF RIGHT GET BRANLY
frutty [35]

one more point. because bobcats scored

14 and huskies scored 15

5 0
2 years ago
Read 2 more answers
The cost $C$ (in dollars) of making a square window with a side length of $n$ inches is represented by $C=\frac{n^2}{5}+175$
Trava [24]

The side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.

<h3>What is a mathematical model?</h3>

A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.

The cost (in dollars) of making a square window with a side length is C. the length of side of the window is n.

The model, which represent the cost of window in dollar, is,

C=(n²/5)+175

A window costs $355. Thus, C=355. Put this value in above model as,

355=(n²/5)+175

355-175=(n²/5)

180 x 5=n²

n=√(900)

n=30

Hence, the side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.

Learn more about the mathematical model here;

brainly.com/question/4960142

#SPJ1

5 0
1 year ago
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