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
We do not need to cross multiply any numbers in this problem. 25% is equal to 1/4. Therefore, we can multiply the total amount of juice by the proportion of real fruit juice. This can be represented by the expression 1/4 x 32. After multiplying out, we can get an answer of 8 oz of real fruit juice.
Hope this helps!
Answer:
Yolanda ran 134 miles on Saturday and 212 miles on Sunday. She used fraction strips to model the total distance she ran.
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Formula:</u> 
Answer:
0
Step-by-step explanation:
-y₁ + y₂\-x₁ + x₂ = m
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