Answer:
D.f=288.68
Step-by-step explanation:
f+ 523.89 = 812.57
subtract 523.89 from both sides
f+ 523.89-523.89 = 812.57-523.89
f = 288.68
Understand the problem
Gather your resources
Come to an answering
Check your answer and present the solution
Let's set up two equations:
x+y=20 We know she brought total of 20, some of each so x=small y=big
20x+ 30y=450
x+y= 20
-y -y
------------
x= 20 -y
substitute into the other equation:
20 (20-y) + 30y = 450
400 - 20y + 30y = 450
400+ 10 y = 450
10 y = 50
y= 5
So she brought 5 big cases. Then substitute the value of y into one of the equations.
5+ x = 20
x= 15
So we bought 15 small cases and 5 big cases.
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Answer:
D
Step-by-step explanation:
The formula for C is
C=2πr (using 3.14 as pi)
so C=2(3.14)(45)
so C=90(3.14)
so C≈282.6 or D
Answer:
Second puck travels farther
Step-by-step explanation:
Maximum height of first puck = 3 feet
The height of a second hockey puck is modeled by:


To find maximum height of second puck

Equate the derivative equals to 0
0.15-0.002x=0

75 = x
At x = 75

So, The maximum height of second puck is greater than first puck
So, Second puck travels farther