Answer:
no solutions
Step-by-step explanation:
y = -3x +10
 3x +y = 5
Substitute the first equation into the second equation
Let every instance of y in the second equation be replaced with -3x+10
3x+ (-3x+10) = 5
Combine like terms
 10 =5
This is never true so there are no solutions
(These are parallel lines with the same slope but different y intercepts)
 
        
             
        
        
        
Formula for amount for compound interest:
Amount, A =  P(1 + r/100)^n
Where r is rate, P is principal, and n is the number of years.
P = 2000, r = 5, n = t years.
A = 2000( 1 + 5/100)^t
A = 200(1+0.05)^t
A = 2000(1.05)^t
A(t) = 2000(1.05)^t 
        
             
        
        
        
Answer:
296 miles
Step-by-step explanation:
4 hours=240 minutes
240/30=8
37*8=296
 
        
                    
             
        
        
        
Width = W
Length = 2 times the width plus 3 feet = 2W + 3
Area of triangle A = L * W
A = W (2W + 3)
20 = 2W^2 + 3W
2W^2 + 3W - 20 = 0
(W + 4) (2W - 5) = 0
W + 4 = 0; W = - 4 (width cannot be negative, excluded)
2W - 5 = 0
2W = 5
W = 2.5 
L = 2W + 3 = 2(2.5) + 3 = 8
Answer:
Width = 2.5 feet and Length = 8 feet
Hope it helps.
 
        
             
        
        
        
Answer:
Step-by-step explanation:
Speed = distance travelled/time
A horse ran 800 m in 40 seconds. This means that the speed is 
800/40 = 20 m/s
The horse ran 1200 m in 60 seconds. This means that the speed is 
1200/60 = 20 m/s
The horse ran 1200 m in 60 seconds. This means that the speed is 
480/24 = 20 m/s
Since the horse's rate or speed is the same at each scenario, it means that the relationship between the distance covered by the horse and the time taken is proportional.
Let k represent the constant of proportionality. The constant of proportionality is 20. It represents speed of the horse.
Let d represent the distance in meters.
Let t represent the time in seconds. 
Therefore
d = 20t