There are
total ways to draw any 6 numbers from the range 1 to 51, regardless of order.
Given 6 selected numbers that match those drawn by the lottery, there are
ways of rearranging them. So the probability of winning 1st prize is
Next, given 6 selected numbers of which 5 match those drawn by the lottery, there are
ways of rearranging those 5 matching numbers. There are 46 remaining numbers that didn't get drawn, so the probability of winning 2nd prize is
Answer is <span>C. 1750
multiply by 5
14 x 5 = 70
70 x 5 = 350
350 x 5 = 1750</span>
Let x = Wally's age now
Then, 3x = Jose's age now
Wally's age 5 years from now = x+5
Jose's age 5 years from now = 3x+5
(x+5) + (3x+5) = 42
4x + 10 = 42
4x = 32 x = 8
Wally is 8 years old and Jose is 24.
Answer:
a = -5
Step-by-step explanation:
Given
-18 + 2a = 2(3a + 1)
Expand the bracket on the right
-18 + 2a = 2 x 3a + 2 x 1
-18 + 2a = 6a + 2
Add 18 to both sides
-18 + 18 + 2a = 6a + 2 + 18
2a = 6a + 20
Subtract 6a from both sides
2a - 6a = 6a - 6a + 20
-4a = 20
Divide both sides by -4
-4a/-4 = 20/-4
a = -5
