Step-by-step explanation:
In the second step while opening the bracket, instead of 'a', there should be - 4a.
If each of them got 1/3 of the deck then they would each get 7 cards
Answer: 100 rides are needed to break even.
Step-by-step explanation:
We have given the cost function
C(x)=15x+2000 where x is the number of rides.
And rides cost 35$
⇒ revenue function would be 35 times x
i.e.R(x)=35 x , where x is the number of rides.
Break even point of a firm occurs when at a certain point x the total cost equals to the total revenue.
i.e. at break even point
total revenue=total cost
⇒35x=15x+2000
⇒35-15x=2000[subtract 15x from both sides]
⇒20x=2000 [simplify]
⇒x=2000/20[dividing both sides with 20]
⇒x=100
∴ 100 rides are needed to break even.
Answer:
The wire is sufficient for making a cube of volume 2197 cm³
Step-by-step explanation:
Volume of cube = L³
Volume of the cube = 2197 cm³
Length of the wire = 150 cm
Let's see if the wire is sufficient for making a cube.
Volume of the cube that could be made from the wire is:
V = (L)³
V = (150)³
V = 3,375,000 cm³
So,
The volume of the cube using a 150 cm length wire is much more grater than 2197 cm³.
That is why, the wire is sufficient for making a cube of volume 2197 cm³.