X= 10
complementary angles= 90° so 90-50=40
40 ÷ 4= 10
Answer: orange juice : 125mg
cranberry: 90mg
Step-by-step explanation:
orange juice : 750 divided by 6 = 125 mg
cranberry juice: 135 divided by 1.5 = 90mg
I am fairly certain this is how you solve this probem. If the answer is wrong switch the equation to,
750 divided by 1.5 = 500 - orange juice
135 divided by 6= 22.5- cranberry juice
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:
none
Step-by-step explanation:
i dont understand
The answer would be D, not sure if you still need it.
