Answer:
25,26,27, and 28
Step-by-step explanation:
Write consecutive integers as x,x+1,x+2,x+3,x+4, and so forth.
x+x+1+x+2+x+3
---------------------- = 53
2
1) Combine alike terms:
4x+6
------- = 53
2
2) Multiply both sides by 2:
4x+6=106
3) Subtract 6 from both sides:
4x=100
4) Divide both sides by 4:
x=25
5) Plug in 25 for x for all 4 integers:
25
26
27
28
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
Total length of all ribbons = 12 * 3 = 36 inch
Then, number of ribbons = 36/4 = 9
In short, Your Answer would be: 9 sections
Hope this helps!
Let
x--------> <span>the speed of the boat in mph
we know that
</span>going upstream the speed is x-7
<span>going downstream the speed is x+7
</span>
let the distance be d
<span>time to go upstream = d/(x-7) </span>
<span>time to go downstream = d/(x+7)
</span>
time going upstream is 3 times going downstream
so
<span>3d/(x+7) = d/(x-7) </span>
<span>divide by d </span>
<span>3/(x+7) = 1/(x-7) </span>
<span>3x-21 = x+7 </span>
<span>2x = 28 </span>
<span>x = 14
</span>
the answer is
<span>the speed of the boat in still water is 14 mph</span>