Step-by-step explanation:
Will bought several books that cost $ 2.50 each and received a $ 2 discount on the total bill. If he paid $ 10.50, how many books did he buy ?
2.50x - 2.00 = 10.50
2.50x = 10.50 + 2.00
2.50x = 12.50
x = 12.50/2.50
x = 5....he bought 5 books
Answer:
(1, 3), (2, 4).
Step-by-step explanation:
y= x² - 4x + 6
y = x + 2
Substitute for y in the first equation:
x + 2 = x²- 4x + 6
x^2 - 5x + 4 = 0
(x - 1)(x - 4) = 0
x = 1, 4
When x = 1 , y = 1 + 2 = 3.
When x = 4, y = 4 + 2 = 6.
We are to solve for the value of the altitude of the given cylinder which has a radius of 5 feet and a lateral area of 70pi ft². To solve this we should recall that the formula in solving the lateral area of a cylinder is Lateral Area = 2pi*r*h. The solution is shown below:
r is equal to 5 ft
lateral area = 70pi
Solving for h, we have:
70pi = 2pi*5*h
70pi / 2pi = 5h
35 = 5h
divide both sides by 5, we have:
35/5 = 5h/5
7 = h
The answer for the length of the altitude is 7 feet.
This is the transitive property :)
