The answer to this problem is...3.6
<u>The overall </u><u>algebraic expression</u><u> will be: </u>
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Definition of algebraic expression -
An expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.
Five times the sum of a number and eleven, divided by three times the sum of the number and eight.
Let the number be x.
Five times the sum of a number and eleven means 5 multiplied to the sum of x and 11. In expression this will be written as:
5(x + 11)
Three times the sum of the number and eight means 3 multiplied to the sum of x and 8. In expression this will be written as:
3(x + 8)
So, the overall <u>algebraic</u> expression will be:
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Answer:
512
Step-by-step explanation:
Suppose we ask how many subsets of {1,2,3,4,5} add up to a number ≥8. The crucial idea is that we partition the set into two parts; these two parts are called complements of each other. Obviously, the sum of the two parts must add up to 15. Exactly one of those parts is therefore ≥8. There must be at least one such part, because of the pigeonhole principle (specifically, two 7's are sufficient only to add up to 14). And if one part has sum ≥8, the other part—its complement—must have sum ≤15−8=7
.
For instance, if I divide the set into parts {1,2,4}
and {3,5}, the first part adds up to 7, and its complement adds up to 8
.
Once one makes that observation, the rest of the proof is straightforward. There are 25=32
different subsets of this set (including itself and the empty set). For each one, either its sum, or its complement's sum (but not both), must be ≥8. Since exactly half of the subsets have sum ≥8, the number of such subsets is 32/2, or 16.
Answer:
25
Step-by-step explanation:
12+13=25 so 25x5=125 and 125 divide 5=25
Answer:
72
Step-by-step explanation:
You can find ten percent of 180 pretty easily, it is 18 (divide by 10) then multiply by 4 to get 40%.
