3 Find the slope from the table. X -8 0 4 8 у -7 2 5
1 answer:
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Answer:
Number of week day hours purchased is 5
Step-by-step explanation:
Total number of Parking hours purchased = 26 parking hours
Parking cost on weekdays = $2 per hour
Parking costs on weekends = $10 per hour
Total amount spent on parking = $220.
To Find:
Number of week days purchased = ?
Solution:
Let
The number of week days purchased be x
The number of weekends purchased be y
We know that the total hours purchased is 26
So,
x+y = 26
y = 26-x------------------------------------------------------(1)
Now the total cost is 220
(Total number of weekdays X cost per weekday ) +(Total number of weekends + cost per weekend) =220
Substituting the values
=> = 220
=>
=>2x + 260 -10x =220
=>260 -8x = 220
=>260 -220 =8x
=>40 = 8x
=>x=
x= 5-------------------------------------------(2)
Now substituting (2) in (1) we get
y= 26-5
y= 21
Answer:
200 visitors went to screen 1.
125 visitors went to screen 2.
175 visitors went to screen 3.
Step-by-step explanation:
We will find number of visitors who went to screen 1 by finding 40% of 500 as we are told that 40% of 500 visitors went to screen 1.
Therefore, 200 visitors went to screen 1.
Now we will find number of visitors who went to screen 2. We are told that 25% of 500 visitors went to screen 2.
Therefore, 125 visitors went to screen 2.
Now we will find the number of visitors who went to screen 3 by subtracting combined number of visitors who went to screen 1 and screen 2 from total number of visitors.
Therefore, 175 visitors went to screen 3.
Answer:
Santos should run approximately 36.145 meters along the shore
Step-by-step explanation:
The given parameters are;
The distance along the shore of the child = 50 meters
The distance from the shore of the child = 60 meters
The rate at which Santos can run = 4 m/s
The rate he can swim = 0.9 m/s
Let 'x' represent the distance he runs along the shore
We have;
The time he spends running on the shore, t₁ = x/4
The time he spends swimming, t₂ = (√(60² + (50 - x)²)/0.9
The total time, T = t₁ + t₂ = x/4 + (√(60² + (50 - x)²)/0.9
To find the maximum, we have;
dT/dx = 0 = d(x/4 + (√(60² + (50 - x)²)/0.9)/dx = 1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0
1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0
Simplifying using a graphing calculator gives;
1519·x² - 151900·x + 3505900 = 0
x = (151900 ± √((-151900)² - 4×1519×3505900))/(2 × 1519)
x ≈ 63.86 m or x ≈ 36.145 m
We note that the distance from a point x = 63.83 meters and 36.145 meters from where Santos spots the girl to the location of the girl are the same
Therefore, Santos should run approximately 36.145 meters along the shore before jumping into to the water in order to save the child
