Answer:
The length of each rope is 9.93 feet (Approx).
Step-by-step explanation:
As given
Emma, Brandy, and Damian will cut a rope that is 29.8 feet long into 3 jump ropes.
Each of the three jump ropes will be the same length.
Thus


Therefore the length of the each rope is 9.93 feet (Approx).
Answer:
y = 56/3
Step-by-step explanation:
Distribute:
37 - (y - 19) = 2y
37 - y + 19 = 2y
Add the numbers:
37 - y + 19 = 2y
56 - y = 2y
Rearrange the terms:
56 - y = 2y
-y + 56 = 2y
Solution:
y = 56/3
Answer:
x=6.111....
Step-by-step explanation:
x-5=0.1(x+5)
distribute 0.1 into (x+5)
x-5=0.1x+0.5
subtract 0.1x on both sides
x-0.1x-5=0.5
combine like terms
0.9x-5=0.5
add -5 on both sides
0.9x=5.5
divide both sides by 0.9

x=55/9 or 6.11111.......
hope this helps
Given that

attains a maximum at

, it follows that

at that same point. So integrating once gives



and so the first derivative is

.
Integrating again, you get


You know that this curve passes through the point (2, -1), which means when

, you have

:


and so