Question 3 (Multiple Choice Worth 6 points)(09.01 LC)
Amy is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is odd}, and let B = {the sum of the number cubes is divisible by 3}. List the outcomes in A ∪ B.
{3, 6, 9, 12}
{1, 3, 5, 7, 9, 11}
{3, 5, 6, 7, 9, 11, 12}
{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
Answers
Answer with Step-by-step explanation:
Sample space on rolling two number cubes is:
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
Sum of the numbers on the cubes lies between 2 and 12
A = {the sum of the number cubes is odd}
={3,5,7,9,11}
B = {the sum of the number cubes is divisible by 3}
={3,6,9,12}
Hence, A ∪ B={3, 5, 6, 7, 9, 11, 12}
B = {3, 6, 9, 12}
A ∪ B ={3, 5, 6, 7, 9, 11, 12}
Answer: the third option
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The perimeter of a rectangle is 38 inches. If the length of the rectangle is 14 inches, which equation could be used to find the width, x?
Answers
Answer:
-22x-36
Step-by-step explanation:
-6 x 5x = -30x
-6 x 6 =-36
8x - 30x - 36
8x - 30x = - 22x
So, it's -22x - 36.
Answer:
-22 x- 36
Step-by-step explanation:
8x - 6(5x + 6)
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8x -30x - 36
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Answers
Answers
2,500 nm - 0.007 nm = 2,499.993 nm
Hope this helps :)
9 (x +2) < 3(3-5)
Answers
Step-by-step explanation:
9x+18 < 9-15
1)9-15= -6
9x+18 < -6
9x+18= -5
9x= (-5) - 18
9x= -23
x= 23/9=2 5/9
X=2,55556
O {(4,5)(5,1)(9,5)(2,6)}
O {(4,6)(5,1)(5,9)(7,5)}
O {(4,6)(5,1)(4,3)(7,5)}
Answers
Answer:
Step-by-step explanation:
first one