Hello Anna,
(a)
1.25 per ticket
? number of rides (x)
43.75 total cost (y)
Admission (z)
(b) Linear Equation - 1.25x + z = y
(c) Well you need to calculate the totaly number of rides that person took and add that to the admission cost.
Answer: 40 pounds of cashews should be mixed with the peanuts to ensure no change in the revenue
Step-by-step explanation:
Let x represent the number of pounds of cashews that should be mixed with the peanuts to ensure no change in the revenue.
The nut store normally sells cashews for $4.00 per pound and peanuts for $1.50 per pound.
In order to sell 60 pounds of peanuts, the manager decided to mix the 60 pounds of peanuts with some cashews and sell the mixture for $2.50 per pound. It means that
4x + (1.5 × 60) = 2.5(60 + x)
4x + 90 = 150 + 2.5x
4x - 2.5x = 150 - 90
1.5x = 60
x = 60/1.5
x = 40
Answer:
The equation: 2 + 1.75m < 35
Solution: m < 10
Shannon can travel 10 miles or less
Step-by-step explanation:
You add the initial $2 fee plus $1.75 per mile. Since she wants to pay less than 35, the inequality is 2 + 1.75m < 35.
The slope (m) = -13.
We can use the slope formula:
m = (y2 - y1) / (x2 - x1)
Let (x1, y1) = (7, 26)
(x2, y2) = (12, -39)
Plug in the values into the formula:
m = (y2 - y1) / (x2 - x1)
m = (-39 - 26) / (12 - 7)
m = -65/5
m = -13