Answer:
System of equations:
6d + 3p = 42.75
10d + 15p = 98.75
Drink = $5.75
Popcorn = $2.75
Step-by-step explanation:
6d + 3p = 42.75
subtract 6d from both sides
3p = 42.75 - 6d
divide both sides by 3
p = 14.25 - 2d
substitute P in the second equation with the answer and solve for D
10d + 15( 14.25 - 2d) = 98.75
distribute out the 15
10d + 213.75 -30d = 98.75
-20d + 213.75 = 98.75
subtract 213.75 from both sides
-20d = -115
divide both sides by -20
d = 5.75
substitute D back in the first equation and solve for P
3p + 6(5.75) = 42.75
multiply the 6 and 5.75
3p + 34.5 = 42.75
subtract 34.5 from both sides
3p = 8.25
divide both sides by 3
p = 2.75
c) 4/5 .....................
Answer:
n = 100
Step-by-step explanation:
Step 1:
n × $3.05 = $305 Equation
Step 2:
n = $305 ÷ $3.05 Divide
Answer:
n = 100
Hope This Helps :)
A) x + y = 17
B) x * y = -308
B) y = -308 / x Substituting this into A)
A) x -308 / x = 17
A) x^2 -308 = 17x
A) x^2 -17x -308 = 0
x = 28
y = -11
