5z+7=32
5z+7-7=32-7
5z/5=25/5
z=5
Two numbers that are the same distance from zero on a number line are called opposite numbers.
Answer:
Yes.
Step-by-step explanation:
The diameters are the same so the radii are the same also.
The volume of both is 3.14r^2h.
The radius r and height h is the same for both cylinders.
The volume = 3.14 * 5^2 * 19 = 1491.5 in^3.
Let x be the number of $5 items sold.
Let y be the number of $25 items sold.
x + y = 150
x = 150 - y .........(1)
5x + 25y = 1950 ......(2)
Plugging the expression for x from (1) into (2), we get:
5(150 - y) + 25y = 1950
750 - 5y + 25y = 1950
20y = 1200
y = 60 items.
The answer is, there were 60 items sold at $25.
This is a quadratic whose graph will be the shape of a U.
when x = 0 y = 0 so it will pass through the origin ( the point (0,0).
Plot a few more points - say when x = 1 and x = -1 . Also when x = 3 and x = 3
For example when x = 1 y will be -1 - 1^2 = 0 giving the point (1, 0)
Note the minimum point will be (0.5, -0.25)