Answer: 8 subsets----------------------------------------------------------------------
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There are n = 3 elements in the given set, so there are 2^n = 2^3 = 2*2*2 = 8 subsets. Those 8 subsets are listed below
{a,b,c}
{a,b}, {a,c}, {b, c}
{a}, {b}, {c}
{ }
The first row is the original set. Any set is a subset of itself.
The second row represents subsets with exactly 2 elements.
The third row represents subsets with exactly 1 element
The fourth row is the empty set which can be written as
Answer: x=−10
Step-by-step explanation:
x−3−2(x+6)=−5
x+−3+(−2)(x)+(−2)(6)=−5(Distribute)
x+−3+−2x+−12=−5
(x+−2x)+(−3+−12)=−5(Combine Like Terms)
−x+−15=−5
−x−15=−5
−x−15+15=−5+15
−x=10
Withdrawals must be subtracted from the beginning balance since to withdraw means to take out, so withdrawing money would lower the balance.
Deposits are added to the balance, so they must be added in the equation.
The answer is <span>c) Beginning Balance - Withdrawals + Deposits = Ending Balance</span>
2x + -11 = k
Reorder the terms:
-11 + 2x = k
Solving
-11 + 2x = k
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '11' to each side of the equation.
-11 + 11 + 2x = 11 + k
Combine like terms: -11 + 11 = 0
0 + 2x = 11 + k
2x = 11 + k
Divide each side by '2'.
x = 5.5 + 0.5k
Simplifying
2/3 * 5/6 = 2*5/3*6 which is 10/18 or 5/9ths of a mile