Answer:
x >=5 or x <=-3
Step-by-step explanation:
Solve an absolute value inequality
3|x-1| >= 12
Divide each side by 3
3/3|x-1| >= 12/3
|x-1| >= 4
Now there are two solutions
x-1 >= 4 or x-1 <= -4
Add 1 to each side
x-1+1 >= 4+1 or x-1+1 <= -4+1
x >=5 or x <=-3
Answer:
20
Step-by-step explanation:
You have to fill in 6 slots _ _ _ _ _ _.
Since first digit must be 4, there is only 1 way to fill in the 1st slot.
with the 5 slots, we fill in the 6s first, 3 of them.
So we have 5 options and 3 items to fill, (5 choose 3).
Then 2 ways to fill 1 and 1 way to fill 5. (It doesn't matter if you pick 5 or 1 first).
So it becomes (5C3) * (2C1) *(1C1)
= 1 * 5!/(3!)(5-3)! * (2) * 1
= 20
The value of the 5 in 581.03 is 100 times the value of the 5 in 5.472
Step-by-step explanation:
Each digit in a number has a place value.
The place value of 4 in 453.56 is hundreds (100), because 4 is in the hundred place
The place value of 2 in 1782.56 is ones (1), because 2 is in the unit place
The place value of 3 in 2.345 is tenth (0.1), because 3 is in the tenth place
∵ The number is 581.03
- Find the place of 5 in the number
∵ 5 is in the hundred place
∴ The place value of 5 is 100
∵ The number is 5.472
- Find the place of 5 in the number
∵ 5 is in the unit place
∴ The place value of 5 is 1
To find the value of the 5 in 581.03 is how many times the value of the 5 in 5.472 divide the place values of them
∵ 100 ÷ 1 = 100
∴ The value of 5 in 581.03 = 100 times the value of 5 in 5.472
The value of the 5 in 581.03 is 100 times the value of the 5 in 5.472
Answer:
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Round 3308.89 to the nearest Australian dollar - $4336 AUD .
