Answer:
Why is the energy that results from a roller coaster's position at the top of a hill referred to as potential energy?
Step-by-step explanation:
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Answer:
A: x + y = 55; y - x = 25
B: 15 minutes running
C: no
Step-by-step explanation:
<h3>Part A:</h3>
The two equations relate to the total number of minutes, and to the difference specified in the problem statement.
x + y = 55 . . . . . . total time is 55 minutes
y = x + 25 . . . . . . dances 25 minutes longer
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<h3>Part B:</h3>
We can substitute for y in the first equation to find the value of x, the time spent running.
x + (x +25) = 55
2x = 30 . . . . subtract 25
x = 15 . . . . . . divide by 2
Jackie spends 15 minutes running each day.
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<h3>Part C:</h3>
The value of y from is found using the second equation:
y = x +25 = 15 +25 = 40
Jackie <u>will not spend 45 minutes dancing</u> if she meets the requirements on times.
Answer:
Step-by-step explanation:
So we have the equation:
To solve, subtract 5 from both sides. This is the subtraction property of equality:
The left side cancels:
Subtract on the right.
So, our answer is -7.
