The area is found by multiplying the length by the width.
The original area = 60 x 40 = 2,400 square feet
He wants to make it 1/2 that size, so the new size would be 2,400 / 2 = 1,200 square feet.
To find the length divide the new area by the new width:
1,200 / 30 = 40
The new length should be 40 feet.
The probability of first number cube shows a five and the other number cube shows an even number is
.
Solution:
Two cubes are rolled sequentially.
Sample space when two dies are rolled

Number of sample space = 36
Even numbers getting when two cubes rolled are 2, 4, 6.
First number cube shows a five and the other number cube shows an even number = {(5, 2), (5, 4), (5 6)}
Number of first number cube shows a five and the other number cube shows an even number = 3
Probability of first number cube shows a five and the other number cube shows an even number



Hence, the probability of first number cube shows a five and the other number cube shows an even number is
.
3x+3=-2-12
Combine the -2 and -12 and it'll get you:
3x+3=-14
Then combine like terms on both sides (subtract 3 on both sides):
3x= -17
Then divide 3x from both sides:
-5.66 (repeating decimal)
For option d:
5x - 7y = 10 . . . . . (1)
10x - 14y = 8 . . . . (2)
(1) x 2 => 10x - 14y = 20 . . . . . (3)
(2) - (3) => 0 = -14 [not possible]
Therefore, the set of equations in option d, has no solutions.