Answer:
the answer is 7917.51cm^3 [OPTION A=7,922cm^3]
Step-by-step explanation:
radius=d÷2 41÷2 = 20.5, height=18cm
Volume=πr^2h÷3
=3.14×(20.5)^2×18÷3
=(3.14×20.5×20.5×18)÷3
=23752.53÷3
=7917.51cm^3
Answer:
85M + 4S <u><</u> 1000
Step-by-step explanation:
An inequality represents an expression that can have different values as long as the value is within the range given. In this case, the number of songs and movies that Caissa can download can not exceed 1000 MB. Since each move is 85 MB and each song is 4 MB, then any combination of these two files combined must not be larger than 1000 MB. Using the variable (M) for movies and (S) for songs, we can set up an expression 85M + 4S to represent the number of movies times 85 for each movie and the number of songs times 4 for each song. Since the total can be no greater than 1000, the expression would be less than or equal to (<u><)</u> 1000 MB.
Answer:
The lines are perpendicular.
So when one goes up, the other goes down. This is an inverse equation.
An inverse equation looks like this: y = 1/x
In this case, when parking fee (f) decreases, cars (c) increase.
You know which side to put each variable on using the chart they gave you.
f | c
20.00 15 (20.00 = x/15) x=300
30.00 10 (30.00 = x/10) x=300
So your equation in this case is f = 300/c
Knowing that, plug in the fee of 6.00
6 = 300/c Multiply both sides by c.
6c = 300 Divide both sides by 6.
c = 50 cars
For this you will have to know how to add fractions. First of all i like to add the whole numbers together first, so 2+2+3= 7. so now what you have to do is add the fractions together. so 2/3 + 1/4 + 1/2 = ? you will have to find a common denominator for 3, 4, and 2; which is 12. Multiply each fraction by the needed number to get each denominator to 12. so 2/3 will be multiplied by 4, 1/4 will be multiplied by 3, and 1/2 will be multiplied by 6. The new equation and answer will be: 8/12 + 3/12 + 6/12 = 17/12. 17/12 as a mixed fraction is 1 5/12. now we add 1 5/12 and 7 to equal 8 5/12. and then you will have to subtract this from 10, using common denominators and such to get your final answer of 2 1/12. (sorry for the long spiel on how to do this question)