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hodyreva [135]
3 years ago
13

Arianna and Aubree go to the movie theater and purchase refreshments for their friends. Arianna spends a total of $88.00 on 8 dr

inks and 5 bags of popcorn. Aubree spends a total of $38.00 on 4 drinks and 1 bag of popcorn. Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations, determine and state the price of a bag of popcorn, to the nearest cent.

SAT
1 answer:
serg [7]3 years ago
8 0

Answer:

Therefore one drink is 9cent and one drink 8cents

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Answer:

X has travelled 4 times as far as Y

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Because x=1/2at²(get rid of the first portion of x=vt+1/2at² because initial v is 0 which multiplies to 0). If the acceleration is set to for example 10 (keep this constant for both X and Y) and we use t=1 and t=2 for time (as the time travelled of X is twice that of Y). Plugging this into the equation, at t=1, x=4. At t=2, x=20. 20 is four times greater than 5, so X has travelled 4 times as far as Y.

To find the difference in speed between the two objects, use the equation v_{f}=v_{0} +at. Since the initial velocity is 0, that part can just be removed from the equation. With v=at, it is easy to see that if the time plugged in is twice for one than the other (and the acceleration is the same for both), the final result will be twice of the other as well. For example: If the acceleration is 10 again for both, then v=10t. If t is 1, the velocity is 10. If t is 2, the velocity is 20.

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