Answer:
80 is less than or equal to 22+7x
8 DVDs
Step-by-step explanation:
I don't have the inequality signs sorry if you don't know its the symbol thats opening to the left with a line underneath
80 is less than or equal to 22+7x
subtract 22
58 is less than or equal to 7x
divide and flip the sign to the right
x is greater than or equal to 8.29
so he can buy 8 DVDs in total
Answer:

Step-by-step explanation:
Cross multiply, isolate the variable, and divide by the coefficient to solve.

Plug back in to check.

Answer: The required fourth term of the geometric sequence is 
Step-by-step explanation: We are given to find the value of the fourth term in a geometric sequence with first term and common ratio as follows :

We know that
the n-th term of a geometric sequence with first term a1 and common ratio r given by

Therefore, the fourth term of the given geometric sequence will be
Thus, the required fourth term of the geometric sequence is 
Answer:
Step-by-step explanation:
The formula for volume of a cylinder is
V = πr²h where r is the radius and h is the height.
We are given r = 5 and h = 2.5, plug those values in and simplify...
V = π(5²)(2.5)
V = π(25)(2.5)
V = 62.5π
Let's assume the laptop is opened at 90 degrees (this is done for the sake of simplicity, is actually irrelevant) then each plane would be analogous to the 'x' and 'y' planes you see in a Cartesian Plane, which only intersect at one point called the Origin. Any two lines with different slopes will intersect only one time (if they're parallel they have the same slope)