Answer:
The maximum number of days is 5
Step-by-step explanation:
Let
x ----> the number of days
y ---> the total cost to rent a car in dollars
we know that
The fixed rental fee plus the daily fee multiplied by the number of days must be less than or equal to Pasion's budget
so
The inequality that represent this situation is
Solve the inequality for x
Subtract 25 both sides
Divide by 10 both sides
therefore
The maximum number of days is 5
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!!
Correct answer: 1) (f/g)(x)
Solution: f(x)=x^2-6x-27=(x+3)(x-9)
Answer:
Step-by-step explanation:
C(x) = 15x + 25,500....cost function
R(x) = 32x .....revenue function
break even point (when they are equal)....so set them equal and solve for x
15x + 25,500 = 32x
25,500 = 32x - 15x
25,500 = 17x
25,500 / 17 = x
1500 = x.......so the break even point is when 1500 benches are sold
15x + 25,500 = 32x =
15(1500) + 25,500 32(1500) =
22,500 + 25,500 48,000
48,000
and after selling 1500 benches, they will both equal $48,000
Answer:7√3 + 3√7
Step-by-step explanation:
7√3 + √63
=> 7√3 + √(7×9)
=> 7√3 + (√7 × √9)
=> 7√3 + 3√7
