Hey there. So basically, find out how much the pencils and notebooks cost first.
The notebooks cost = $3.25
The pencils cost = $0.50
Then, think about what you need to figure out in this problem.
Jake has $20. You need to find how many notebooks Jake can buy in maximum after buying 8 pencils.
If Jake buys 8 pencils that costs $0.50 each, he spends $4 on the pencils.
So now, to find out how many notebooks he can buy, do 20 minus 4.
Jake's got $16 left.
If the notebooks cost $3.25 each, we need to find out how many notebooks he can buy by dividing them. So, 16 divided by 3.25 equals 4.923... and so on.
That means, Jake can buy 4 notebooks with his remaining money.
Volume of a cylinder is given by V = πr^2h
Since the content of the storage tank completely filled the 25 identical cylinders, this means that the volume of the 25 cylinders combined is equal to the volume of the storage tank.
25(πr^2h) = 235,500
πr^2h = 235,500/25 = 9,420
h = 9,420/(3.14 x 5^2) = 9,420/78.5 = 120.
Therefore, the height of the cylinderical containers is 120 in
Answer:
12
Step-by-step explanation:
The given expression is :

We need to find the value of this expression when h = 8, j = -1 and k = -12.
Put all the values in the given expression.

So, the value of the given expression is 12.
The slopes of two parallel lines must be identical.
We have slope

, so the slope for the parallel line be the same.
Now, to find an equation that also passes through the given point, we use slope-point form,

, where our point

is substituted for

.

Now, we convert to slope-intercept form as such.

And we are done. :) We can verify graphically that these are indeed parallel lines. See attached.
The sum of the interior angle of a polygon is 720°, thus the value of w will be obtain as follows:
size of each angle is
720/6=120°
thus
8w=120
solving for w we get'
(8w)/8=120/8
w=15°
Answer: w=15°