Answer:
Step-by-step explanation:
2 4 5 6
4 8 10 12
6 12 15 18
8 16 20 24
10 20 25 30
12 24 30 36
14 28 35 42
16 32 40 48
18 36 45 54
20 40 50 60
22 44 55 66
24 48 60 72
I have set this table up in a spreadsheet and colored in the squares as they appear in the table above. I have not counted any number as a member of 2 categories twice. An example would be 36 which is a multiple of 3 and a perfect square.
I have answered the question as though the question took on the properties of a dart board: you through a dart and whatever you hit is counted either as prime, a multiple of 3 or a perfect square
That said, there are
primes: 2
multiples of 3: 24
Perfect squares: 4
Total number of choices: 12*4 = 48
Probability: 30 / 48 = 5/8 or 0.625
If you are supposed to use some other method of counting, please leave a note.
y = mx + b
When x = 0, b is what is left on the right hand side of the equation. So the point is (0,b). This is more commonly called the y intercept. For example
y = 4x + 6
When x is 0 you get
y = 4(0) + 6
y = 0 + 6
y = 6
So in this case 6 is the y intercept. and the equation becomes y = 4x + 6
Answer: y intercept
Answer:
Step-by-step explanation:
ratio of blue marbles to white marbles = 4:5
15/5=3
4x3:5x3
ratio if there are 15 white marbles= 12:15
denoting that 12 blue marbles would be there
Answer:
(1, 1 )
Step-by-step explanation:
Given the 2 equations
y = - 5x + 6 → (1)
y = 3x - 2 → (2)
Since both equations express y in terms of x, equate the right sides
3x - 2 = - 5x + 6 ( add 5x to both sides )
8x - 2 = 6 ( add 2 to both sides )
8x = 8 ( divide both sides by 8 )
x = 1
Substitute x = 1 into either of the 2 equations for corresponding value of y
Substituting x = 1 in (2)
y = 3(1) - 2 = 3 - 2 = 1
Solution is (1, 1 )