Answer:the number of adults that attended the show is 248
the number of students that attended the show is 54
Step-by-step explanation:
Let x represent the number of adults that attended the show.
Let y represent the number of students that attended the show.
Total number of tickets that were sold is 302. This means that
x + y = 302
Tickets to the fashion show were $2.50 for adults and $1 for students. The receipts for all the tickets were $674. This means that
2.5x + y = 674 - - - - - - - - - 1
Substituting x = 302 - y into equation 1, it becomes
2.5(302 - y) + y = 674
755 - 2.5y + y = 674
- 2.5y + y = 674 - 755
- 1.5y = - 81
y = - 81/- 1.5
y = 54
Substituting y = 54 into x = 302 - y, it becomes
x = 302 - 54 = 248
Answer:
(12, 5,) (30, 2,) (6, 10)
Step-by-step explanation:
All of these numbers are divisible by 60.
I put the parenthesis between the numbers, so you can see that if you multiply them, you'll get 60
Answer:
a) The error is that, the initial value is n=1 NOT n=3
b) The sum is 
c)The explicit formula is 
The recursive formula is
,
Step-by-step explanation:
The given arithmetic series is 8 + 13 + ... + 43.
The first term is
, the common difference is 
The nth term is given by:

We substitute the values to get:

To find how many terms are in the sequence we solve the equation:

The summation notation is 
The error the student made is in the initial value.
It should be n=1 NOT n=3
b) The sum of the arithmetic series is calculated using:

We substitute o get:



c) The explicit formula we already calculated in a), which is 
The recursive formula is given as:

We substitute d=5 to get:

Answer:
22.5
Step-by-step explanation:
15 percent of 1 dollar is 15 cents
0.15 times 150 is
22.5
<3333
The measure of angle 6 can be found by subtracting the measure of angle 13 from 90.
90-13 = 77