<u>EXPLANATION</u><u>:</u>
Given set A = { 1,2,3}
n(A) = 3
Let the n(B) be n
Total number of relations from A to B = 2^(3×n) =2^3n
According to the given problem
Total relations are = 512
⇛2^3n = 512
⇛2^3n = 2⁹
If bases are equal then exponents must be equal
⇛3n = 9
⇛n = 9/3
⇛n = 3
<h3>So, Number of elements in the set B = 3</h3>
4200ft divided by 20 ft per second divided by 60 seconds is 1400 minutes
Answer:
1.= 2.4 Hours
2.= 8 miles per hour
3.= 150 miles per hour
Step-by-step explanation:
Answer: he purchased 16 ride tickets.
Step-by-step explanation:
Let x represent the number of ride tickets that he purchased.
Let y represent the number of game tickets that he purchased.
Levi purchased a total of 50 ride tickets and game tickets at the amusement park. It means that
x + y = 50
If ride tickets cost $.75 each and game tickets cost $.50 each and the total amount spent on the tickets is $29, it means that
0.75x + 0.5y = 29- - - - - - - - - - - -1
Substituting x = 50 - y into equation 1, it becomes
0.75(50 - y) + 0.5y = 29
37.5 - 0.75y + 0.5y = 29
- 0.75y + 0.5y = 29 - 37.5
- 0.25y = - 8.5
y = - 8.5/-0.25
y = 34
x = 50 - y = 50 - 34
x = 16
