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Amy bought 0.4 kg of tomatoes for $4.00. What is the cost in dollars per kg of tomatoes?
2 answers:
Answer: The required cost in dollars per kg of tomatoes is $10 per kg.
Step-by-step explanation: Given that Amy bought 0.4 kg of tomatoes for $4.00.
We are to find the cost in dollars per kg of tomatoes.
We will be using the UNITARY method to solve the given problem.
The cost of 0.4 kg of tomatoes = $4.00.
Therefore, the cost of 1 kg of tomatoes is given by
Thus, the required cost in dollars per kg of tomatoes is $10 per kg.
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The ball will hit the ground at 2 seconds.
Step-by-step explanation:
Given that,
The path of the ball = h(x)=−2x2+1x+6
Here,
x is the time while h is the height of ball.
When the ball will hit the ground, the height will become zero. Therefore,
h(x)=−2x2+1x+6
0 =−2x2+1x+6
or
2x2 -1x - 6 = 0
This is a quadratic equation, hence by applying quadratic equation formula:
here,
a = 2
b = -1
c = -6
Putting these values in formula, we get
x = 2, -3/2
As the time cannot be negative. Therefore, the ball will hit the ground at 2 seconds.
Answer:
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