Answer=18
First step combine the positive like terms
16+8+6
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30
Second step is to combine negative like terms with 30
30-3-9
When you do this you add 9 and 3 together since they are similar to each other so it equals 12 there for the equation becomes.....
30-12
Final answer 18
Answer :
Step-by-step explanation :
To find the product of
First we expand the bracket ,
it implies that, we use the expression outside the bracket to multiply individual expressions inside the bracket.
Hence
we now apply the law of indices
meaning, when you are multiplying two expressions with the same bases , repeat one of the bases and add the exponents.
Then, simplify to obtain
Answer:
The least amount is 75 dollars.
The biggest amount is 125 dollars
Step-by-step explanation:
The absolute value function will help us determine a range of possible values since we do not know the exact amount of money.
Defining the function.
Let x be the exact amount of money in my pocket, we can define the equation
And we know that the difference between the exact amount of money with 100 dollars must be either 25 dollars more than what we estimated, or 25 dollars less than the estimation. So we can write:
We have a difference inside an absolute value, since we know the difference must be either +25 or -25.
Solving for x
Using the definition of absolute value we have
So if the inside of the absolute value is positive we have the first line of the piece-wise function, that is
Solving for x give us
If the inside of the absolute value is negative we have to use the second line of the piece-wise function definition
Solving for x give us
So the least amount of money in my pocket is 75 dollars and the biggest amount is 125 dollars.
So,
0.2(n - 6) = 2.8
Distribute.
0.2n - 1.2 = 2.8
Add 1.2 to both sides.
0.2n = 4
Divide both sides by .2.
n = 20
Check.
0.2(20 - 6) = 2.8
Simplify inside parentheses.
0.2(14) = 2.8
Multiply.
2.8 = 2.8 This checks.
S = {2.8}
18 is the LCM
Hope I helped!
