Answer:
-2.5
Step-by-step explanation:
Answer:
1372 inches
Step-by-step explanation:
980/5=196
196*7=1372
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.
squareroot
√1296 = 36
Let the percentage be x.
x% of 1296 = 36
=> 12.96x = 36
=> x = 36/12.96
=> x = 2.78% approx.
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3 + 12 (y-4) = 40
*Use distribution*
3 + 12y - 48 = 40
*combine like terms*
-45 + 12y = 40
* what you do to one side of the equation you have to do to the other side
-45 +12y = 40
+45 +45
-----------------------
12y = 85
*now you divide to isolate variable*
85
------- = 7
12
Y =7