Answer: 89
Step-by-step explanation:
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There are total of 5 digits, of which we arrange 3 of them.
Therefore using permutations we can find total possible 3-number combinations.
5P3 = 5*4*3 = 60
To be greater than 600 means first digit must be 6. (1 possibility)
A number is even only if last digit is even, 2 or 4. (2 possibilities)
The 2nd digit then can only be 3,5, (2 or 4). (3 possibilities)
The total possible even 3-digit numbers greater than 600 is product of each digit's possibilities.
---> 1*3*2 = 6
Therefore probability is 6/60 = 1/10.
Answer:
$180
Step-by-step explanation:
To solve, we can set up a proportion and solve.
You earn $45 for 7.5 hours of work, and you earn $ x for 30 hours of work
45/7.5=x/30
Cross multiply
45*30=7.5*x
1350=7.5x
To solve for x, we need to get x by itself. It is being multiplied by 7.5. To undo this, divide both sides by 7.5
1350/7.5=7.5x/7.5
180=x
So, for 30 hours of work, you would earn $180
Answer:
width = 1 1/3 inches
length = 9 2/3 inches
Step-by-step explanation:
let 'w' = width
let '7+2w' = length
P = 2l + 2w
22 = 2w + 2(7+2w)
22 = 2w + 14 + 4w
8 = 6w
w = 4/3 or 1 1/3
substitute 1 1/3, or 4/3, to find length:
l = 7 + 2(4/3)
l = 7 + 8/3 or 9 2/3