I belive it is a constant
Don't hold me to it, but I think the answer is D.) 4 cups
Answer:
Hey there!
A: 7
B: 6
C: 5
D: 7
X: 10
7x6x5x7x7x7x10x10x10=720,300,000
Let me know if this helps :)
Answer:
"No, the relationship is NOT proportional"
Step-by-step explanation:
<u>Complete Question:</u>
Of the 75 boys in the 7th grade class, 25 participate in at least one sport. Of the 120 girls in 7th grade class 30 participate in at least one sport. Is this relationship proportional?
We have to see the ratio of each and if they are equal (after reducing), we can say they are proportional.
Boys:
25 participate in atleast 1 sport and there are total of 75. Hence, ratio is
25 : 75 = 1 : 3
Girls:
30 particiapte in atleast 1 sport and there are toal of 120. hence ratio is:
30 : 120 = 1 : 4
So, the relationship is NOT proportional
Answer:Your left hand side evaluates to:
m+(−1)mn+(−1)m+(−1)mnp
and your right hand side evaluates to:
m+(−1)mn+(−1)m+np
After eliminating the common terms:
m+(−1)mn from both sides, we are left with showing:
(−1)m+(−1)mnp=(−1)m+np
If p=0, both sides are clearly equal, so assume p≠0, and we can (by cancellation) simply prove:
(−1)(−1)mn=(−1)n.
It should be clear that if m is even, we have equality (both sides are (−1)n), so we are down to the case where m is odd. In this case:
(−1)(−1)mn=(−1)−n=1(−1)n
Multiplying both sides by (−1)n then yields:
1=(−1)2n=[(−1)n]2 which is always true, no matter what n is
