Answer:
The record alligator is 
feet longer than the alligator Taylor saw.
Step-by-step explanation:
Taylor saw an American alligator at a zoo that measured 
feet long. The record length of an American alligator is 
feet long. How much longer is the record alligator than the alligator Taylor saw?
For this first convert the mixed fraction into an improper fraction.
Now subtract 
from 
.
Hence, the record alligator is feet longer than the alligator Taylor saw.
Answer:
y = 13
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 2, 7) and (x₂, y₂ ) = (6, y)
d = 
, that is
d = 
= 10
= 10 ← square both sides
64 + (y - 7)² = 100 ( subtract 64 from both sides )
(y - 7)² = 36 ← take the square root of both sides
y - 7 = 6 ( add 7 to both sides )
y = 13
Answer:
Step-by-step explanation:
Sin (π - x ) = Sin x = m
Answer:
755 or more
Step-by-step explanation:
The profit is the difference between revenue and costs. We want the profit to be $2000 or more, and we have both fixed and variable costs.
Let x represent the number of puppets sold. Then the costs are ...
... 76.25 + 2.25x
The revenue is 5x.
The above-described relationship can then be written as
... 5x -(76.25 +2.25x) ≥ 2000
... 2.75x ≥ 2076.25 . . . . . add 76.25, collect terms
... x ≥ 2076.25/2.75 . . . . divide by the coefficient of x
... x ≥ 755
755 or more puppets must be sold to earn $2000 or more.
It's the 2,7,3,2 one or the third one
