Answer:
342.
Step-by-step explanation:
Let x represent the number of adults and y represent the number of senior citizens.
We have been given that on a recent weekend evening 514 people paid for the admission. We can represent this information in an equation as:

We have been given that the Family Fine Arts Center charges $20 per adult and $13 per senior citizen for its performances.
The cost of x adult tickets would be
and cost of y senior citizen tickets would be
.
We are also told that total receipts were $7886 on a recent weekend evening. We can represent this information in an equation as:

From equation (1), we will get:
We can represent this information in an equation as:

Substitute this value in equation (2) as:







Therefore, 342 senior citizens paid for the art center.
Answer:
4
Step-by-step explanation:
Answer: 51.1 units squared
Step-by-step explanation: the area of each face is 306.6 so then you would divided that by 6 since there are 6 sides in a cube so you get 51.1 and if multiplied by 6 it equals 306.6
Answer:
The common difference (or common ratio) = 0.75
Step-by-step explanation:
i) let the first term be
= 80
ii) let the second term be
=
. r = 80 × r = 60 ∴ r =
= 0.75
iii) let the third term be
=
. r = 60 × r = 45 ∴ r =
= 0.75
iv) let the fourth term be
=
. r = 45 × r = 33.75 ∴ r =
= 0.75
Therefore we can see that the series of numbers are part of a geometric progression and the first term is 80 and the common ratio = 0.75.
X-intercept is (-6, 0) , (3, 0)