Answer:
The ODDS that the dart hits a date that is a prime number are 1:1
Step-by-step explanation:
Odds:
An odd is writen as:
Number of desired outcomes: Number of undesired outcomes.
In this question:
April has 30 days, 15 of which are prime numbers and 15 of which are odd numbers.
So the odds are:
15:15
Simplifying by 15
1:1
The ODDS that the dart hits a date that is a prime number are 1:1
Y= ax+b
when x=3, y=11 and when x= -2, y=11
3a+b=11
-2a+b=11 | * -1
3a+b=11
2a-b=-11
------------
5a=0, a=0:5, a=0
⇒ b=11
y=11 for every x
So ( 1,11) or (2,11) are also points on the graph
Answer:
x = 4, y = 2
Step-by-step explanation:
Start by multiplying the first equation by 2:
2x + 2y = 12 --> 4x + 4y = 24
Subtract the second from the first:
4x + 4y = 24
- 5x + 4y = 28
4x - 5x = -x
4y = 4y = 0
24 - 28 = -4
so you end with -x + 0 = -4
Solve for x to get x = 4
Plug x = 4 back into 2x + 2y = 12 to find y.
2(4) + 2y = 12
8 + 2y = 12
2y = 4
y = 2
