Answer:16
Step-by-step explanation:
Answer:
Step-by-step explanation:
Explanation
6 sprinters are in a race. Any one of the 6 could win. None of them can win 2 medals. So the first result is 6
5 runners remain. The second medal goes to any one of the 5
4 runners remain after 1 of the 5 have been choosen. Any one of the 4 could win.
Answer 6 * 5 * 4 = 120
There are 120 ways of awarding 3 medals to 6 people.
The solution of the linear equations will be ( -2, 4).
<h3>What is an equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given equations are:-
Solving the equations by elimination method:-
2x +3y = 8
3x+y= -2
Multiply the second equation by 3 and subtract from the first equation.
2x +3y = 8
-9x -3y = 6
----------------
-7x = 14
x = -2
Out of the value of x in any one equation, we will get the value of y.
3x+y= -2
3 ( -2) + y = -2
-6 + y = -2
y = 4
The graph of the equations is also attached with the answer below.
Therefore the solution of the linear equations will be ( -2, 4).
The complete question is given below:-
Exploring Systems of Linear Equations 2x +3y =8 and 3x+y= -2. Find the value of x and y and draw a graph for the system of linear equations.
To know more about equations follow
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Cost = number of objects x price per object
$1,475 = x boxes * $25
x = 1,475/25 = 59 boxes of diapers
Answer:
Angle EFG = 104 degrees
Angle GFH = 76 degrees
Step-by-step explanation:
Angle EFG and Angle GFH are a linear pair, which means that they add up to 180 degrees.
Angle EFG = 4n + 20 and Angle GFH = 2n + 34, so 4n + 20 + 2n + 34 = 180.
We can then combine like terms, getting 6n + 54 = 180.
Then, we can subtract both sides by 54, getting 6n = 126.
Lastly, we can divide both sides by 6, getting n = 21.
EDIT - solve for EFG and GFH:
Angle EFG = 4n + 20 = 4(21) + 20 = 104 degrees
Angle GFH = 2n + 34 = 2(21) + 34 = 76 degrees