Answer:
(A) 125 scoops
(B) 31 scoops
Step-by-step explanation:
The volume of a cup in terms of radius and height is ...
V = (1/3)πr²h
The radius is half the diameter, so the volume in terms of diameter is ...
V = (1/3)π(d/2)²h = (π/12)d²h
The number of cups it takes to empty the sink will be the sink volume divided by the cup volume, so will be ...
n = (4000π/3)/((π/12)d²h)
n = 16000/(d²h)
__
(A) The number of cups required of diameter 4 and height 8 is ...
n = 16000/(4²·8) = 125
125 scoops are required to empty the sink
__
(B) The number of cups required of diameter 8 and height 8 is ...
n = 16000/(8²·8) = 31.25 ≈ 31
31 scoops are required to empty the sink
♡ The Question ♡
- -4(-3n-8)=104
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♡ The Answer ♡
- D) 6
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♡ The Explanation/Step-By-Step ♡
- -4(-3n - 8) = 104
Divide both sides by -4!
-4(-3n - 8) over -4 = 104/-4
Simplify!
-3n - 8 = -26
Add 8 to both sides!
-3n - 8 + 8 = -26 + 8
Simplify!
-3n = -18
Divide both sides by -3!
-3n/-3 = -18/-3
Simplify!
n = 6
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♡ Tips ♡
-
No tips provided!
Hello!
In a taxi cab, the longer you ride, the more it costs. This would make a scatter plot go through Quadrant 1.
Therefore, it would have a positive relationship
I hope this helps!
Answer:
26
Step-by-step explanation:
You want to know the value of x that makes y=1000. You can plug the equation in to your calculator or desmos. Look at the table for when y=1000. X is 26.
To check, plug in 26 for x. 26^2 + 20(26) - 196 = 1000.
Answer:
-6 your welcome.......!.!.!.!.!
