Nancy bought 7 pounds of oranges and 3 pounds of bananas for $17. Her husband later bought 3 pounds of oranges and 6 pounds of b
2 answers:
Answer:
The cost per pound of the oranges is $2.
The cost per pound of the bananas is $1.
Step-by-step explanation:
This problem can be solved by a simple system of equations.
I am going to say that:
x is the value of the pound of orange
y is the value of the pound of banana.
Lets build the system:
Nancy bought 7 pounds of oranges and 3 pounds of bananas for $17.
This means that .
Her husband later bought 3 pounds of oranges and 6 pounds of bananas for $12.
This means that .
So we have to solve the following system of equations:
I am going to solve this by the addition method, multiplying the first equation by minus two and adding with the second. So
The cost per pound of the oranges is $2.
The cost per pound of the bananas is $1.
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Lets replace the values into the the vertical motion formula to get:
Notice that the rocket hits the ground at the bottom of the cliff, which means that the final height is 99-foot bellow its original position; therefore, our final height will be h=-99
Lets replace this into our equation to get:
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where a=-16, b=122, and c=198
or 
or 
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Since the time can't be negative, we can conclude that the rocket hits the ground after 9 seconds.
Lets replace the values into the the vertical motion formula to get:
Notice that the rocket hits the ground at the bottom of the cliff, which means that the final height is 99-foot bellow its original position; therefore, our final height will be h=-99
Lets replace this into our equation to get:
Now we can apply the quadratic formula
Since the time can't be negative, we can conclude that the rocket hits the ground after 9 seconds.