Answer:
C. 128/3 meters cubed
Step-by-step explanation:
The volume of a cylinder is denoted by: 
, where r is the radius and h is the height. We know it's equal to 64, so we can set that equal to V:
We know that the sphere and cylinder have the same height and radius. However, the "height" of a sphere is actually the same as its diameter, which is twice its radius. Then, we can replace h in the above equation with 2r:
Now, the volume of a sphere is denoted by: 
, where r is the radius. From above, we know that 
, so we can plug this into the equation:
Thus, the answer is C.
Answer: (8,8)
Step-by-step explanation:
First you need to get a x or y by itself.
I choosed to get y by itself since it would be faster.
-2x + y = -8 (first get -2x to the other side so add 2x)
y = -8 + 2x (then you want to insert that to the other equation)
-x + 4( -8 +2x) = 24 -> -x -32 + 8x = 24 -> 7x -32 = 24
(add 32 to the other side)
7x = 56 (divide 7 to 56 to get x) x = 8
now insert into the other equation
-2( 8 ) + y = -8 -> -16 + y = -8 ( move -16 to the other side, so add 16)
then you get your answer, y= 8
Well first, you have to get both equations to the y= form
y=mx+b
X=-5-y add y to x
y+x=-5 then subtract x
y=-x-5 is your equation
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for the second one:
2+y=-x+3 subtract 2
y=-x+1 is your equation
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Take both equations and compare:
Both the slopes are the same of -x, so that means the will lines never touch (also because of different y intercept)
So, the answer is parallel.
Answer: The required expression she is on after d days is 
Step-by-step explanation:
Since we have given that
Page number at which she is = 88
Number of pages she will read every day = 20
Let the number of days be 'x'.
According to question, it becomes
Hence, the required expression she is on after d days is
Answer:
See below.
Step-by-step explanation:
A proportion is setting two ratios equal to each other.
Look at the info you are given for price in $ and area in sq ft:
$385 for 70 sq ft
That allows you to write a ratio. The ratio of dollars to square feet is
385/70 (notice it's dollars divided by sq ft)
Now you look at the part of the problem that has an unknown, and you set up the same type of ratio (dollars to sq ft) using x for the unknown.
x dollars to 200 sq ft
The ratio is
x/200 (notice that, again, it's dollars divided by sq ft)
In both cases the ratios are dollars to sq ft.
To set up a proportion, you just set the ratios equal to each other.
385/70 = x/200
Now we solve the proportion. We can cross multiply.
385/70 = x/200
70x = 385 * 200
70x = 77,000
x = 1100
They would charge $1100 to install 200 sq ft of tile.
The unit price is obtained by dividing a cost by the corresponding area in sq ft. you can use either ratio.
unit price = ($385)/(70 sq ft) = $5.5/sq ft
($1100/200 sq ft also works since it is also equal to $5.5/sq ft)
