Answer:
0 is not an element of an empty set.
Step-by-step explanation:
We are asked to determine whether 0 is not an element of an empty set.
We know that an empty set is an unique set having no elements. The cardinality of an empty set is 0.
Cardinality stands for the count of element is an set. An empty set is denoted by symbols ∅ or { }.
The empty set is like an empty container. The container is there, but nothing is in it.
When 0 is an element of a set, then its cardinality would be 1.
Therefore, 0 is not an element of an empty set.
The maximum pounds of celery she can buy is 3.25 pounds.
<h3>What are the linear equations that represent the question?</h3>
1.5c = o equation 1
1.50o + 1.80c = 8.10 equation 2
Where:
o = pounds of onions
c = pounds of celery
How many pounds of celery can she buy?
Substitute for o in equation 2 using equation 1
1.50(1.50) + 1.80c = 8.10
2.25 + 1.80c = 8.10
1.80 = 8.10 - 2.25
1.80c = 5.85
c = 5.85 / 1.80
c = 3.25 pounds
To learn more about linear equations, please check: brainly.com/question/26434260
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Answer:
2 sessions, $231
Step-by-step explanation:
Make an equation (let x represent the number of sessions)
59+86x=63+84x
Subtract 84x from both sides
59+2x=63
Subtract 59 from both sides
2x=4
Divide by 2
x=2
At 2 sessions they will be equal
To find the cost, substitute 2 in for x
59+86(2)=63+84(2)
59+172=63+168
231=231
So, at 2 sessions the plans will cost the same at $231
Hope this helps! :)