1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tamiku [17]
2 years ago
11

There are 8 members on a board of directors. If they must form a subcommittee of 3 members, how many different subcommittees are

possible
Mathematics
1 answer:
Katyanochek1 [597]2 years ago
3 0

Answer:

56 possible different subcommittees

Step-by-step explanation:

This is a combination problem.

In combination probability, the formula is;

nCr = n!/((n - r)! × r!)

Now, out of the 8 members on the board of directors, they now want to form a subcommittee of 3 members.

Thus, the different subcommittees possible is given by;

8C3 = 8!/((8 - 3)! × (3!)) = 56

Thus, there are 56 possible different subcommittees

You might be interested in
Kira is a software saleswoman. Her base salary is $1600, and she makes an additional $60 for every copy of "English is Fun" she
Alchen [17]

Answer:

P = 1600 + 60N; $3,340

Step-by-step explanation:

Since we know she gets $1,600 as a base, and $60 <em>each book</em>, we have to add a variable to 60 to show how many books she sells. Your first equation will be P (which is the total) = 1,600 + 60N. Now, we have to replace N with 29. You now have P = 1,600 + 60(29) = 1,600 + 1,740 = $3,340. That's your answer!

5 0
3 years ago
Read 2 more answers
Please help me with this
Len [333]

Answer:

60 degrees

Step-by-step explanation:

To first solve this problem, we need to figure out the size of an interior angle for a regular hexagon.

This can be done with the formula :

angle = \frac{(n-2)*180}{n} , with n being the number of sides

A hexagon has 6 sides so here is how we would solve for the interior angle:

\frac{(6-2)*180}{6}=120 , with n= 6 sides

Now that we know that each interior angle in the hexagon is 120 degrees, we can now turn our attention to the rhombus.

The opposite angles of the rhombus are congruent, so the two larger obtuse angles are congruent, and so are the two smaller acute angles.

It is also important to note that a rhombus is a quadrilateral, so all of its interior angles add up to 360 degrees.

Looking at the rhombus, we already know one of the angles because it is shared by the interior angle of the hexagon, so the two larger angles in the rhombus are both 120 degrees.

But what about the smaller angles? All we need to do is subtract the two larger angles form 360 and divide by 2 to find the angle.

\frac{360-2(120)}{2} = 60 , so the smaller angle in the rhombus is 60 degrees.

Now that we know both the interior angle and smaller angle of the rhombus, we can find x.

Together, angle x and the angle adjacent to it makes up an interior angle of the hexagon, so x plus that angle is going to equal to 120 degrees.

All we need to do is solve for x:

x+60=120

x=120-60

x = 60 degrees

3 0
2 years ago
Math brainiest NEEDED. its the bottom half and please explain your answer
Mice21 [21]
1) The expressions are not equivalent. When you expand and multiply 2(x + 3) it becomes 2x + 6. This is not equal to 3x + 5

2) They are equivalent. Again, expand and multiply the second expression. 2(3n + 4) becomes 6n + 8. This makes both sides equal.

3) They are equivalent. In the parentheses, you are adding 3 y's and a 2. This gives you 3y + 2. Now add the additional 3y that follows the closed parentheses. You'll have 6y + 2. Now both sides are equivalent.
4 0
3 years ago
5 screen shots plz help plz will choose brianyest and will give 19 pts
Taya2010 [7]
Tigers! Have a great day!
7 0
2 years ago
Which expression is not equivalent to the other expressions?
Ket [755]
That would be D

the first 3 = -12x + 24

bur D  = -12x - 24
4 0
3 years ago
Read 2 more answers
Other questions:
  • How do you do this question?
    6·2 answers
  • If there are 360 grams of radioactive material with a half-life of 8 hours, how much of the radioactive material will be left af
    12·2 answers
  • the time to complete a project, T, varies inversely with the number of employees, E, if 6 employees can complete the project in
    5·1 answer
  • Graph the exponential function g(x)=(3/5) ^x To graph the function plot the points on the graph with the x values -2 , -1,0,1 an
    13·1 answer
  • A delivery truck is stocked with boxes of leather footballs. The graph shows the relationship between the number of footballs an
    9·2 answers
  • Isme estimated that there are 50 students in the seventh-grade class. There are actually 40 students in the seventh-grade class.
    13·1 answer
  • Solve 7+x÷3=2x-5 pls help me with this
    13·2 answers
  • Find the perimeter of the shape below r(-1,3) s(-2,7) t(2,5) u(-1,3)
    13·1 answer
  • Melanie buys 2 shells for $0.80. Rosi buys 3 shells for $1.20. Carlos buys 4 shells for $1.60. Use the graph to determine whethe
    5·1 answer
  • The height of the tallest tower in a city is 800 feet. The height of the second tallest tower in the same city is 14% less than
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!