Answer:
The cost of bucket of popcorn is 4.25$ and The cost of fountain drinks is 6.75$
Step-by-step explanation:
A movie theater sells popcorn and fountain drinks.
Let, x be the number of popcorn
and y be the number of fountain drinks.
Now,
Statement 1: Brett buys 1 popcorn and 3 fountain drinks for his family which cost him a total of $24.50
Equation 1 can be written as x+3y=24.50
Statement 2: Sarah buys 3 popcorn and 4 fountain drinks for his family which cost her a total of $39.75
Equation 2 can be written as 3x+4y=39.75
The system of equation is given by
Equation 1 : x+3y=24.50
Equation 2 : 3x+4y=39.75
Using a method of substitution,
For equation 1
x+3y=24.50
x=24.50-3y
Now, replacing the value of x in equation 2
Equation 2 is 3x+4y=39.75
3x+4y=39.75
3(24.50-3y)+4y=39.75
73.50-9y+4y=39.75
-5y=33.75
y=6.75
Putting value y in any equations
Equation 1 is x+3y=24.50
x+3y=24.50
x+3(6.75)=24.50
x+20.25=24.50
x=4.25
Thus,
The cost of bucket of popcorn is 4.25$ and The cost of fountain drinks is 6.75$
Answer:
14.67
Step-by-step explanation:
you added a dot and made this 14.6.7
Answer:
8/4
Step-by-step explanation:
8/4
Answer: a) D = √148
m = (-5,4)
b) D = √241
m = (1, 7.5)
c) D = √20
m = (0,-4)
Step-by-step explanation:
Distance and Midpoint Formulas
distance = D = √[(x₂-x₁)² + (y₂-y₁)²]
Midpoint: m = ((x₂+x₁)/2 , (y₂+y₁)/2)
(−4, 10) and (−6, −2)
D = √[(-6-(-4))² + (-2-10)²] = √[(-6+4))² + (-2-10)²] = √[(-2))² + (-12)²] =
√[4 + 144] = √148
m = ((-6+(-4))/2 ; (-2+10)/2
m = (-10/2 ; 8/2)
m = (-5,4)
(−1, 15) and (3, 0)
D = √[(3-(-1))² + (0-15)²] = √[(3+1))² + (0-15)²] = √[(4)² + (-15)²] =
√[16 + 225] = √241
m = ((3+(-1))/2 ; (0+15)/2
m = (2/2 ; 15/2)
m = (1,7.5)
(2, −3) and (−2, −5)
D = √[(-2-2)² + ((-5)-(-3)²] = √[(-4))² + (-5+3)²] = √[(-4)² + (-2)²] =
√[16 + 4] = √20
m = (-2+2))/2 ; (-5+(-3))/2
m = (0/2 ; -8/2)
m = (0,-4)
Answer:
23
Step-by-step explanation: