Answer:
for just the slope its 3/5 or in decimal its .6
Step-by-step explanation:
y's on top x's on bottom
1--2
1+2=3
2--3
2+3=5
so slope is 3/5 or .6
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:
3 gallons.
Step-by-step explanation:
We have been given that Jen picked 3/4 of a gallon of strawberries in a half an hour.
Let us convert our given time in minutes.
1 hour= 60 minutes.
1/2 hour= 30 minutes.
So 2 hours= 120 minutes.
Let us find the number of gallons of strawberries picked by Jen in 30 minutes by dividing 3/4 by 30.
Now let us multiply 1/40 by 120 to find the number of gallons of strawberries picked by Jen in 120 minutes(2 hours).
Therefore, Jen picked 3 gallons of strawberries in 2 hours.
Answer: 13
Step-by-step explanation: because I have the whole bookanswer duh
Answer:
Is 6x and 4x+2 equivalent
? No!
Step-by-step explanation:
6x doesn't equal 4x+2
In order for them to be the same you would have to add the same terms example:
4x+2x would equal 6x
Extra explaining:
The only way for those term to be added would be if they had the same variable since only 4x has a variable the 2 cant be added. In math you CANNOT move your variables off of a number and add them back on after.
