We can make 0.7033 an improper fraction by multiplying it by 10,000 to get:
7033/10,000
Note that this cannot be a mixed number because 10,000, the denominator, is greater than 7033, the numerator.
You may have misspelled or typoed the question, or the question might be wrong, because 0.7033 can't be written as a mixed number.
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:
4,257 m²
Step-by-step explanation:
step 1
Find the lateral area of the rectangular prism (ottoman)
The lateral area is
LA=PH
where
P is the perimeter of the base
H is the height of the prism
Find the perimeter of the base P
P=2(37+21)=116 cm
we have H=30 cm
<em>Find the lateral area</em>
LA=116(30)=3,480 m²
step 2
Find the area of the top of the ottoman
B=37*21=777 m²
step 3
we know that
The fabric needed to cover the sides and top of the ottoman is equal to sum the lateral area plus the area of the top
3,480+777=4,257 m²
Answer:
$26.88
Step-by-step explanation:
33.60x.20=6.72
33.60-6.72= 26.88
421 because 400 plus 15 plus 6 is 421
