Answer:
200.96
Step-by-step explanation:
The circumference is
C = 2*pi*r
50.24 = 2 * 3.14 (r)
50.24 = 6.28 r
Divide each side by 6.28
50.24/6.28 = r
8 =r
We want to find the area
A = pi r^2
A = 3.14 (8)^2
A =200.96
Answer: -4/15
Step-by-step explanation:
Answer: 80%
Step-by-step explanation:
How much is 84 out of 105 written as a percentage? Convert fraction (ratio) 84 / 105 Answer: 80%
Answer:
The system has infinitely many solutions.
(x, 1 - x, -3)
Explanation:
Writing the matrix in the form of a system of linear equations gives
Note that the third row does not give us any information on the values of x, y, and z.
Solving the first equation for y gives
Hence, the solution to the system is
Since x can take any value ranging from -∞ to ∞, the system has infinitely many solutions.
Assume that the number of adult tickets is a and the number of child tickets is c.
We are given that the adult ticket is sold for 20$, the child ticket is sold for 10$ and that the total is $15,000. This means that:
20a + 10c = 15,000 ..........> equation I
We are also given that number of child tickets is 3 times that of adult's. This means that:
c = 3a .........> equation II
Substitute with equation II in equation I to get a as follows:
20a + 10c = 15,000
20a + 10(3a) = 15,000
20a + 30a = 15,000
50a = 15,000
a = 300 tickets
Substitute with the value of a in equation II to get c as follows:
c = 3a
c = 3(300)
c = 900 tickets
Based on the above calculations,
number of child tickets = 900 ticket
number of adult tickets = 300 ticket
