Answer:
The volume of cylinder and the volume of a cone, have equal volume measurements. So, the answer is C).
Step-by-step explanation:
Cylinder:
-Use the formula for the volume of a cylinder. Use both the radius and height for the formula in order to solve and get the volume:


-Solve:




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Cone:
-Use the formula for the volume of a cone and the radius and height for the formula and solve the formula to get the volume:


-Solve:





-So, according to the volume of a cylinder and the volume of a cone, They both have the same volume.
Cylinder:

Cone:

Answer:
Adult ticket is $60
Child ticket is $32
Step-by-step explanation:
Let x = price of adult ticket
y = price of child ticket
(1) 175x + 103y = 13796 (2) 2x + 2y = 184
x + y = 92
y = 92 - x
175x + 103(92 - x) = 13796
175x + 9476 - 103x = 13796
72x = 4320
x = 60 y = 92 - 60
y = 32
-0.6(-6.3)
When 2 numbers are side by side it is a multiplication problem.
Multiply -0.6 by (-6.3)
-0.6 x -6.3 = 3.78
Answer:
132
Step-by-step explanation:
50 % means half
so 66 is half of whatever x is.
to find x you have to multiply 66 by 2 or add 66 to 66 which will give you 132 either way.
<em>Hope this helps you! have an amazing day :)</em>
Answer:
a. 
b. 
Step-by-step explanation:
First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

The rate is negative as it represents the amount of caffeine leaving the body at certain time.