Step-by-step explanation:
- 4(x²-2x)-2(x²-3)
- 4x²-8x-2x²+6
- 2x²-8x+6
- 2x²-6x-2x+6
- 2x(x-3)-2(x-3)
- (2x-2)(x-3)
- 2(x-1)(x-3)
Answer:
Step-by-step explanation:
T=16x+96 so if he wants to receive 130$ a day he must work at least 3 hours of over time.
We are asked about the fraction of pizza each student
gets, so the relevant numbers here is only 14 students and 7 pizzas. SO the
fraction of pizza each student get is the ratio of the two:
fraction = 7 pizzas / 14 students
fraction = 1 / 2
<span>So each student gets 1/2</span>
Answer:
V = 43323 mm³
(second answer is already correct)
Step-by-step explanation:
these pennies make up the shape of a cylinder, so, we can solve this question by solving for the volume of a cylinder.
the volume of a cylinder can be found with the formula:
V = πr²h
(V = volume ; π = pi ; r = radius ; h = height)
We know the diameter of this cylinder is 19.05 mm. Diameter is two times the length of the radius, (diameter is all the way across, radius is from center to outer / halfway across) meaning that we can find the radius by dividing 19.05 by 2.
diameter = 19.05
radius = 19.05 / 2 = 9.525
so, r = 9.525
we also are given the height of this cylinder, 38 mm
so, h = 38
π = 3.14159 (π is a constant)
plugging our measurements into the volume formula:
V = πr²h
V = (3.14159)(9.525²)(38)
V = (3.14159)(362.9025)(38)
V = 43323.4894628
[rounded to V = 43323 mm³]
And yes, the volume is not affected by a change in shape. (you are correct)
hope this helps!!
