Answer:
See below
Step-by-step explanation:
Let the number of Payday be p and Baby Ruth be b
<u>Then sub of the candy bars:</u>
- Payday candy bars worth ⇒ $2p
- Baby Ruth candy bars worth ⇒ $3b
- Total ⇒ $600
1. <u>Required equations:</u>
2. <u>Solving by substitution:</u>
p = 220 - b, consider it in the second equation
- 2(220 - b) + 3b = 600
- 660 - 2b + 3b = 600
- 660 + b = 600
- b = 660 - 600
- b = 60
60 Baby Ruth candy bars sold
Answer:
Fraction: 23/100
Decimal: 0.23
Percent: 23%
Step-by-step explanation:
Hope this helps!
Answer:
B. 3 / (x+6)
Step-by-step explanation:
3(x+2)/(x+6)(x+2) = 3 / (x+6)
Answers:
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Explanation:
If a set has n elements inside it, then it has 2^n different subsets.
Consider a set like {a,b,c}. It has n = 3 elements.
It has 2^n = 2^3 = 8 subsets
Those 8 subsets are...
- {a,b,c} ..... any set is a subset of itself
- {a,b}
- {a,c}
- {b,c}
- {a}
- {b}
- {c}
- { } .... the empty set
As you can see, each subset consists of items that are selected from the original set {a,b,c}. We can't have any repeat letters.
In that list, items 2 through 4 represent subsets with exactly two things inside it. Items 5 through 7 are known as singletons as they only have one item inside each set. The empty set can be written with the symbol
or you could have a pair of braces with nothing inside them. The empty set is a subset of any set.
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Note how I included {a,b,c} as a subset. Any set is a subset of itself.
A proper subset will ignore the original set and only look at smaller subsets. If we say B is a proper subset of A, then set B will have fewer items compared to set A. Without the "proper" in there, it's possible that A = B.
So all we've done really is kick out one set which drops 2^n to (2^n)-1 when counting the number of proper subsets. I'm using parenthesis to indicate the "-1" is not part of the exponent. If you wrote this on your paper, then you would likely write 
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For this problem, n = 11
This means there are 2^n = 2^11 = 2048 subsets and (2^n)-1 = 2048-1 = 2047 proper subsets.
You'd make a total of $25,125.46 and the interest is $11,125.46