Answer: a ticket to the movie costs $8.5
Step-by-step explanation:
Let x represent the cost of a movie ticket.
Let y represent the cost of a Soda.
Janice bought 3 movie tickets and 3 sodas and the total cost was $35.25. This means that
3x + 3y = 35.25 - - - - - - - - - -1
A ticket to the movie cost $5.25 more than a soda. This means that
x = y + 5.25
Substituting x = y + 25 into equation 1, it becomes
3(y + 5.25) + 3y = 35.25
3y + 15.75 + 3y = 35.25
6y = 35.25 - 15.75 = 19.5
y = 19.5/6 = 3.25
x = y + 5.25 = 3.25 + 5.25
x = 8.5
Answer:
6a^2+ 2bc-2c^1/3 <u>= 162</u>
Step-by-step explanation:


![\rm = 6 + 162 - 2 ( \sqrt[3]{27} )](https://tex.z-dn.net/?f=%20%5Crm%20%20%3D%206%20%2B%20162%20-%202%20%28%20%5Csqrt%5B3%5D%7B27%7D%20%29)



Answer:
The negation to the given statement "At least one gift in the bag is wrapped - true" is "
At least one gift in the bag is not wrapped" - False
-
At least one gift in the bag is not wrapped - False
-
Not every gift in the bag is wrapped-True
- Every gift in the bag is wrapped-False
- None of the gifts in the bag are wrapped-False
Step-by-step explanation:
Given statement is At least one gift in the bag is wrapped is true
The negation to the given statement is "
At least one gift in the bag is not wrapped" - False
<u>To determine whether the statement is a negation of the given statement is True or False :</u>
<h3>
At least one gift in the bag is not wrapped - False
</h3><h3>
Not every gift in the bag is wrapped-True </h3><h3>
Every gift in the bag is wrapped-False
</h3><h3>
None of the gifts in the bag are wrapped-False</h3>