Answer:
23. 8n - 9
24. 55 - 45n
25. 69a - 10
26. -30m + 33
27. -4 + 96x
28. -8n + 26
29. -25b - 20
30. -71n - 9
Step-by-step explanation:
23. -2n - 9 + 10n
Collect like terms
= 8n - 9
24. 10 - 45n + 45
Collect like terms
= 55 - 45n
25. 9a + 60a - 10
Collect like terms
= 69a - 10
26. -54m + 27 + 6 + 24m
Collect like terms
= -30m + 33
27. -10 + 90x + 6x - 60
Collect like terms
= -4 + 96x
28. -10n + 20 + 2n + 6
Collect like terms
= -8n + 26
29. -30b - 30 + 5b + 10
Collect like terms
= -25b - 20
30. -7n - 21 - 8 - 64n
Collect like terms
= -71n - 9
We know:
You have $750 to spend.
A limo costs $700.
They charge $0.15 per mile.
Since we want both sides to balance out, we simply put the solution (how much we have to spend) on one side of the equation, and then the rest on the other side as shown here:
$750 (balance) = $700 (how much renting the limo costs) + 0.15x (it's a decimal since it's 15 cents per mile; the x represents however many miles the limo can travel before it reaches the $750 cap (on the left side of the equation))
Basically:
$750 = $700 + $0.15x
Now, if you want to solve how many miles the limo can travel, simply subtract $700 from both sides (subtract it from the $750).
$750 - $700 = $50
The equation should now be $50 = $0.15x
Isolate x (divide $0.15 to both sides) so:
$50 ÷ $0.15 = 333
The limo can travel a maximum of 333 miles.
Answer:
Step-by-step explanation:
Given is an equation in x and y as
We use implicit method to differentiate the above equation
18x-2yy'=0
y' = 9x/y
b) to solve the equation explicitly for y and differentiate to get y' in terms of x. y' = ±
We separate the variables as
Take square root
4(100)=400
400/1=400
You will need 400 stakes