Let's say that each pizza is sliced into 8 equal sized pieces, I have to make all of the fraction have the denominator of 8.
Conor: 1/4 * 2/2 = 2/8
Tyler: 3/4 * 2/2 = 6/8
Brandon: 2/8
Audrey: 4/8
Then I'll put the fractions in order from least to greatest. 2/8, 2/8, 4/8, 6/8. Then you would have to multiply each fraction by 2 since there are two pizzas that have 8 equally sized pieces.
Brandon: 2/8 *2/2 = 4/16
Conor: 2/8 * 2/2 = 4/16
Audrey: 4/8 * 2/2 = 8/16
Tyler: 6/8 * 2/2= 12/16
This means that Tyler ate the most of the two pizzas.
A and b are the minutes spent on machine A and machine B, respectively.
a+b = 40
b = 40-a
8a + 6b = 300
8a + 6(40-a) = 300
8a + 240 - 6a = 300
2a = 60
a = 30
b = 40-a = 10
30 minutes on machine A and 10 minutes on machine B
Answer: y = -5*x + b
Step-by-step explanation:
A line is written as:
y = a*x + b
where a is the slope and b is the y-intercept.
IIf we have a line that passes through the points (x1, y1) and (x2, y2) then the slope of the line is:
a = (y2 - y1)/(x2 - x1)
In this case we can see that the line passes through the points:
(0, 2) and (1, - 3)
Then the slope is:
a = (-3 - 2)/(1 - 0) = -5
Then our line is:
y = -5*x + b
And when x = 0, y = 2 then:
y = 2 = -5*0 + b
2 = b
Our line is:
y = -5*x + b
Answer:
The concession stands needs to sell 14 or more bags.
Step-by-step explanation:
Given that:
Cost per bag of popcorn = $2.50
Number of bags already sold = 30
Cost of 30 bags = 30*2.50 = $75
Bags needs to be sold to make $110 = x
2.50x + 75 ≥ 110
2.50x ≥ 110-75
2.50x ≥ 35
Dividing both sides by 2.50

Hence,
The concession stands needs to sell 14 or more bags.