13 cups because there is a total of 104 ounces in 4 jars and there is 8 ounces in a cup
Answer: 55
sure
Step-by-step explanation:
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:
y=10x+150
Step-by-step explanation:
<u>Statement:</u>
Two angles are supplementary. One angle measures 2x, and the other angle measures 3x - 15.
<u>To </u><u>find </u><u>out:</u>
The equation to find the measure of each angle.
<u>Solution</u><u>:</u>
- Supplementary angles are angles which sum up to 180°.
- While, complementary angles are angles which sum up to 90°.
- Here, the sum of the two angles, i.e., 2x and 3x - 15, should be 180°.
- So, the equation will be: 2x + 3x - 15 = 180°.
<u>Answer:</u>
2x + 3x - 15 = 180°
Hope you could understand.
If you have any query, feel free to ask.
