We are given the equations 3x+5y=-3 and x-5y=-5.
Both equations have a 5y  term which allows us to easily solve the system by elimination. To do so we will add the equations together like a simple addition problem by adding the x terms together, the y terms together, and the integer answers together.
3x + 5y = -3
+x - 5y = -5
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4x + 0y = -8
The y terms cancel out since one is positive and one is negative. Now we can solve for x.
4x = -8

x = -2
Now plug -2 in for x in one of the original equations to find y.
(-2) - 5y = -5
-5y = -3
y = 3/5
Our answer as an ordered pair is (2, 3/5)
 
        
        
        
Slant height of tetrahedron is=6.53cm
Volume of the tetrahedron is=60.35
Given:
Length of each edge a=8cm
To find:
Slant height and volume of the tetrahedron
<u>Step by Step Explanation:
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Solution;
Formula for calculating slant height is given as
Slant height=
Where a= length of each edge
Slant height=
                      =
                      = =6.53cm
=6.53cm
Similarly formula used for calculating volume is given as
Volume of the tetrahedron=
Substitute the value of a in above equation we get
Volume=
             =
             =
Volume= =60.35
=60.35
Result:
Thus the slant height and volume of tetrahedron are 6.53cm and 60.35
 
        
             
        
        
        
Answer:
$8.35 per hour
Step-by-step explanation:
Take the dollars and divide by the hours to determine the dollars per hour
25.05/3
$8.35 per hour
 
        
             
        
        
        
Answer:
x=-2/5
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
5/16
Step-by-step explanation:
As you can see in the 16 given possible outcomes, in 5 of them at least 3 coins land facing up. Since there are 16 outcomes in total, the probability that at least three coins land facing up is 5/16. Hope this helps!