A carnival has two payment options. Plan A, you pay $10 admission plus $3 for each ride. Plan B, you pay a $20 admission plus $1
2 answers:
Answer:
Step-by-step explanation:
Let x represent the number of rides.
We have been given that a carnival has two payment options.
In Plan A, you pay $10 admission plus $3 for each ride. The total cost for x rides using plan A would be .
In Plan B, you pay a $20 admission plus $1 for each ride.The total cost for x rides using plan B would be .
Now we will show that plan B is best buy by showing that cost of x rides in plan B is less than plan A as:
Therefore, our required inequality would be .
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Answer:
9 feet
Step-by-step explanation:
Given:
The border of the garden is a right angled triangle.
Two lengths are given as 12 ft and 15 ft.
Let the length of the shortest timber be 'x' feet.
Now, in a right angled triangle, the longest length is called the hypotenuse.
As 15 feet is the largest length, it is the hypotenuse of the triangle. Now, applying Pythagoras theorem, we get:
The negative value is neglected as length can never be negative.
Therefore, the length of the shortest timber is 9 feet.
Answer:
0.64 seconds
Step-by-step explanation:
In the equation provided:
h = −16t2 + 4t + 4
h is the height of the ball and t is time. Since we want to find the time when the ball touches the floor, then height is 0. This leaves us with the equation
-16 + 4t + 4 = 0
This is a quadratic equation can be solved with the following formula:
where a=-16
b=4
c=4
Solving for t we will find two different results:
Since time can't be negative, we discard t2 and choose t1.
Since it is required to answer in the nearest hundredth, we round the result to t=0.64 seconds.