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$
Take the equation: y = 520 + 14x and put each value from the table in for x and y.
100 = 520 + 14 * -30
100 = 520 + -420
100 = 100 When we get an answer like this where the numbers on both sides of the equation match, we know that this (x,y) point is a part of the solution to the function.
So, you would work through each line in the table. If they are all like the one above, the answer is Yes. If not, it is no.
Given,
The coordinates of the given figure are J(1, 3), U(0, 5), R(1, 5), C(3, 2)
Here, the reflection about only y axis,
The coordinates of the x-axis remain the same,
This finds the distance from the point to y = 2 by subtracting the point's y-coordinate from 2, then moves the point that far to the other side of y = 2 by adding 2.
The reflected coordinates are,
For this case we must resolve the following inequality:
Applying distributive property on the left side of inequality we have:
Subtracting 5 from both sides of the inequality:
Subtracting 4x from both sides of the inequality:
Thus, the result is
Answer:
Answer:
a Horizontal shrink of 5
followed by a vertical translation of 12
Step-by-step explanation:
horizontal shrink (5)
up 2