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
bagirrra123 [75]
3 years ago
5

My soccer team has 16 players. I have to choose a starting lineup of a goalie and 10 regular players (the regular players are in

terchangeable). How many different starting lineups can i choose? *the answer is not 4368*
Mathematics
1 answer:
ASHA 777 [7]3 years ago
6 0

Answer:

3003

Step-by-step explanation:

We want to find out how many ways we can choose 10 players among 15 players (since the goalie is not interchangeable)

The number of different lineups you can have can be found by using combination:

^{15}C_{10} = \frac{15!}{(15 - 10)! 10!}\\ \\= \frac{15!}{5! * 10!} \\\\= 3003

There are 3003 different lineups that can be chosen.

You might be interested in
Gwen, Tristan, and Keith like to work out at the gym. They each have an app on their phone that estimates the calories they burn
aleksandrvk [35]

Answer:

Part A:

Gwen has already burned 100 calories when Tristan and Keith started, and he continues to burn 10 calories per minute. The equation for Gwen is

y = 100 + 10x

Part B:

Tristan is burning 125 calories every 10 minutes. His burning calories rate is 12.5 calories per minute. The equation for Tristan is

y = 12.5x

Part C:

Keith is burning 300 calories in 30 minutes. His rate per minute is 10 calories per minute. The equation for Keith is

y = 10x

Part D:

Just follow the instructions and do the thing for the app. You can then answer the questions it is very easy.

Part E:

Do the same for E after you do Part D.

Step-by-step explanation:

Hope it helps!

6 0
2 years ago
Read 2 more answers
Which system of equations is graphed below?
algol [13]

(Pls give brainliest! :D)

Answer:

<em>B</em>

Step-by-step explanation:

<em>You know that the graph intercepts at the point of (4,-2)</em>

<em />

<em>Where x = 4 and y = -2.</em>

<em />

<em>This means that whenever you plug a value of x in the equation it should give the value of y.</em>

<em />

<em>For example when you plug x= 4 into the equation (B), it should look like this.</em>

<em />

<em>4- y = 6, solving for y gives us the value negative 2.</em>

<em />

<em>This means that it does give us this point, however, as the graph shows us, both lines meet at the point which means that both equation should give us this point.</em>

<em />

<em>If we substitute x = 4 in the second equation of b, we should be able to get 3(4) + 4y = 4. Solving for y gives us -2.</em>

<em />

Hope this helps!

-<em>Yumi</em>

4 0
3 years ago
Read 2 more answers
Okay so What is 4/10 x 1/6?
Stella [2.4K]
4/10 × 1/6 = 2/30
You can cross cancel 4 and six...then multiply 2/10 × 1/3 which equals 2/30
If you want you can simplify 2/30 to 1/15
6 0
3 years ago
Read 2 more answers
Please help me I really need help with this
Helga [31]

Answer:

The answer might be c

Step-by-step explanation:

4 0
3 years ago
Please show your work and explain it.
Maru [420]

Answer:

f(x)=\dfrac{x+2}{2(x-2)}

Step-by-step explanation:

Remember when you divide fractions, you need to get the reciprocal of the divisor and multiply. So your first simplification would be:

\dfrac{x^2+4x+4}{x^2-6x+8}\div\dfrac{6x+12}{3x-12}\\\\=\dfrac{x^2+4x+4}{x^2-6x+8}\times\dfrac{3x-12}{6x+12}\\\\=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}

Next we factor what we can so we can further simplify the rest of the equation:

=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}\\\\=\dfrac{(x+2)(x+2)(3x-12)}{(x^2-6x+8)(6(x+2))}\\\\

We can now cancel out (x+2)

=\dfrac{(x+2)(3x-12)}{(x^2-6x+8)(6)}

Next we factor out even more:

=\dfrac{(x+2)(3)(x-4)}{(x-2)(x-4)(6)}

We cancel out x-4 and reduce the 3 and 6 into simpler terms:

=\dfrac{(x+2)(1)}{(x-2)(2)}

And we can now simplify it to:

=\dfrac{x+2}{2(x-2)}

6 0
3 years ago
Other questions:
  • The winning time for the 100-yard freestyle was twice the time for the 50-yard freestyle. What was the winning time for the 100-
    7·1 answer
  • Will give brainliest!!! :)<br> Thank you
    9·2 answers
  • What is 100 times as much as 23.25
    14·1 answer
  • The perimeter of an equilateral triangle is 27 centimeters. Find the altitude of the triangle
    13·1 answer
  • An underwater canyon begins at 40 feet
    5·1 answer
  • Every day of the week Sam's Swim
    9·1 answer
  • PLEASEEEE HELP MEEEEEEEEEE
    5·1 answer
  • Which of the following sets of ordered pairs is a function?
    15·1 answer
  • 3.42x5.15 Please awnswer
    14·2 answers
  • Please help me :)<br> HIGGJFFJH
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!