There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. How many different combinations of players are possible?]
Answers
Answer:
In 286 different ways 10 players can be selected.
Step-by-step explanation:
There are 6 girls and 7 boys in a class. So in total there are 6+7 = 13 number of students in the class.
A team of 10 players is to be selected from the class.
As there is no other conditions are given, we can pick any 10 students from 13 students.
The way we can select 10 players from 13 students is,
Related Questions
How do you do mathematical inductions?!
A real estate agent earned commission of $8,785 for selling a house. If his rate is 7%, find the selling price of the house.
How do I solve this?The Sugar Sweet Company is going to transport its sugar to market. It will cost $4900 to rent trucks, and it will cost an additional $175 for each ton of sugar transported. Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S, and then graph your equation using the axes below.
A patient is given a 50 mg dose of medicine. The medicine's effectiveness decreases every hour at a constant rate of 40%. What is the exponential decay function that models this scenario? How much medicine will be left in the patient's system after 2 hours?
Answers
Answer:
The current is 5.64 Ampere when resistance is 768 ohms .
Step-by-step explanation:
As given
The current (I) in an electrical conductor varies inversely as the resistance (R) of the conductor.
Thus
Where k is the constant of proportionality .
The current is 6 amperes when the resistance is 722 ohms.
I = 6 amperes
R = 722 ohms
Put all the values in the formula
k = 6 × 722
k = 4332
As given
when the resistance is 768 ohms .
R = 768 ohms
K = 4332
Put in the formula .
I = 5.64 Ampere
Therefore the current is 5.64 Ampere when resistance is 768 ohms .
V=RI where V is the tension in volts;
You have that V=722×6=4332 Volts
Using this value for V you have that:
4332=768×I
So I=5.64 A
Answers
The degree of the second term is... 2
The degree of the third term is... 4
b) The leading term of the polynomial is... 7t⁴
The leading coefficient of the polynomial is... 7
c) The degree of the polynomial is... 4
b)
c) 4
Answers
Answers
Answer:
yo mommy
Step-by-step explanation:
(2, −1)
y={4x−92x−5
Answers
substituting equation 1 to the equation 2
Y = 4x – 9
4x – 9 = 2x - 5
2x = 4
x = 2
Substitute 2
Y = 2(2) - 5
Y = -1
So the ordered pair a the solution the system of equtions given
Answers
Answer:
substitution (or addition)
Step-by-step explanation:
A simple strategy for this system is to use substitution. The first equation is easily solved for x, so you could substitute that into the second equation:
x = 6y -8
7(6y -8) -y = -2 . . . . . x variable eliminated
__
The second equation is easily solved for y, so you could substitute that into the first equation.
y = 7x +2
-x +6(7x +2) = 8 . . . . . y-variable eliminated
__
The "addition" method is always a good way to eliminate a variable.
When the coefficient of a variable in one equation is a divisor of the coefficient of that variable in the other equation, a simple multiplication and addition will do.
To make the coefficient of x in the first equation the opposite of the coefficient of x in the second, multiply the first equation by 7. Adding that result to the second equation will eliminate x:
7(-x +6y) +(7x -y) = 7(8) +(-2)
42y -y = 56 -2 . . . . . . x-variable eliminated
Likewise, the second equation can be multiplied by 6 and added to the first to eliminate the y-variable:
(-x +6y) +6(7x -y) = (8) +6(-2)
-x +42x = -4 . . . . . . . . y-variable eliminated
__
It is often the case that using either substitution or "addition" requires about the same amount of work.
Here, the solutions are (x, y) = (-4/41, 54/41).
Final answer:
To eliminate a variable in the given system of equations, you can use the elimination method. By multiplying the equations by suitable numbers and adding them, you can cancel out one of the variables, simplifying the process to solve for the other variable.
Explanation:
You can eliminate a variable in the given system of equations: −x+6y=8 and 7x-y=−2 by using either the substitution method or the elimination method. For this scenario, the elimination method will work best.
Strategy:
- To eliminate x, you should first multiply the first equation by 7 and the second by 1, resulting in the equations: -7x+42y=56 and 7x-y=-2
- Adding these two equations together, the x terms (-7x and 7x) cancel out, giving us: 41y=54.
- Finally, you divide both sides by 41 to solve for y. This process effectively eliminates the variable x from the equation, providing a solution for y.
This variable eliminationstrategy lets you solve one equation for one variable, simplifying the process of finding solutions for a system of equations.
Learn more about Variable Elimination here:
#SPJ12