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:
6
Step-by-step explanation:
Factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Factores of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
6 is the greatest common factor.
Answer:
3
Step-by-step explanation:
t-4t^2+2t^3
Rewriting this in order from largest to smallest exponent
2t^3 -4t^2 +t
The highest power is 3
So this is degree 3
Answer:
81 inches
Step-by-step explanation:
you multiply length times width
Answer:
26x.27
Step-by-step explanation:
You take the 3rd power of 5.5
Answer 5.5x 10.3