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;
= (13 10)
= 13!/10!(13-10)!
= 13!/10! 3!
= (13 × 12 × 11 × 10!)/ 10! 3!
= ( 13 × 12 × 11)/6
= 286
Answer:
Intersection Point: (0.4, 3.8)
General Formulas and Concepts:
<u>Algebra I</u>
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 2x + 3
x + 2y = 8
<u>Step 2: Graph</u>
<em>Where the 2 lines intersect is the solution set to the systems of equations.</em>
Answer:
12
Step-by-step explanation:
the ratio of the 2 numbers = 3 : 4 = 3x : 4x ( x is a multiplier ) , then
3(3x) + 2(4x) = 68 , that is
9x + 8x = 68
17x = 68 ( divide both sides by 17 )
x = 4
smaller number = 3x = 3 × 4 = 12
Answer:
i think your question is unclear maybe try to explain what you want me to answer
Step-by-step explanation:
Answer:
x = 3/2 or 1.5.
y = -1/2 or -0.5.
Step-by-step explanation:
Solve for one equation, one variable.
2x + 4y = 1
subtrract 4y from both sides.
2x = 1 - 4y
divide by 2 to get x by itself.
x = 1/2 - 2y
Now that we have this, we can put it into the other equation.
3x - 5y = 7
Substitute variable.
3(1/2 - 2y) - 5y = 7
Distribute the 3.
1.5 - 6y - 5y = 7
Combine terms.
-11y + 1.5 = 7
Subtract by 1.5.
-11y = 5.5
Divide by -11.
y = -1/2, or -0.5.
Now we can find x. Substitute this into the initial equation.
2x + 4y = 1
Substitute variable.
2x + 4(-1/2) = 1
Multiply.
2x + (-2) = 1
Simplify.
2x - 2 = 1
Add 2 to both sides.
2x = 3
Divide by 2.
x = 3/2, or 1.5.
x = 3/2 or 1.5.
y = -1/2 or -0.5.
