Answer:
<u>James sold 300 tickets for adults</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Number of tickets sold by James = 450
Cost of a child ticket = $ 2
Cost of an adult ticket =$ 5
Amount of money collected by James after selling the 450 tickets for the community play = $ 1,800
2. How many tickets for adults did James sell?
x = Number of adult tickets James sold
450 - x = Number of children tickets James sold
For solving for x, we write this equation:
5x + 2 * (450 - x) = 1,800
5x + 900 - 2x = 1,800
3x = 1,800 - 900
3x = 900
x = 900/3 = 300
450 - x = 450 - 300 = 150
<u>James sold 300 tickets for adults and 150 for children</u>
Pennies (P) = 24
Nickels = 1/2P
Dimes = 1/2P + 5
Quarters = (1/2P + 5) -6
Therefore...
Nickels = 1/2P = 1/2(24)= 12
Dimes = 12 + 5 = 17
Quarters = 17 - 6 = 11
Answer:
53.3 rotations
Step-by-step explanation:
135/180=x/40
solve by cross multiply
Answer:
a. closed under addition and multiplication
b. not closed under addition but closed under multiplication.
c. not closed under addition and multiplication
d. closed under addition and multiplication
e. not closed under addition but closed under multiplication
Step-by-step explanation:
a.
Let A be a set of all integers divisible by 5.
Let
∈A such that 
Find 

So,
is divisible by 5.

So,
is divisible by 5.
Therefore, A is closed under addition and multiplication.
b.
Let A = { 2n +1 | n ∈ Z}
Let
∈A such that
where m, n ∈ Z.
Find 

So,
∉ A

So,
∈ A
Therefore, A is not closed under addition but A is closed under multiplication.
c.

Let
but
∉A
Also,
∉A
Therefore, A is not closed under addition and multiplication.
d.
Let A = { 17n: n∈Z}
Let
∈ A such that 
Find x + y and xy


So,
∈ A
Therefore, A is closed under addition and multiplication.
e.
Let A be the set of nonzero real numbers.
Let
∈ A such that 
Find x + y

So,
∈ A
Also, if x and y are two nonzero real numbers then xy is also a non-zero real number.
Therefore, A is not closed under addition but A is closed under multiplication.