Answer:
Maximum number of people is 35
Step-by-step explanation:
With a total of $160 you have to pay for the bus and all the people. The bus cost $90 so you subtract that from the 160 because you bought (or rented) the bus. Then you have $70 left to pay for everyone's tickets. If each ticket is $2 then you can buy 35 tickets in total because 70 divided by 2 = 35.
Answer:
About 10 inches by 10 inches because your just rounding the height to the nearest tenth
Answer:
Solution : Option D
Step-by-step explanation:
Let's start by listing two cases made possible when r is positive, in ( r, θ ). Remember that in polar coordinates a point is expressed in an ordered pair, where r is the distance from the pole (in this case 9, as it lies on the 9th circle) and theta is the directed angle from the positive x - axis.
( 9, θ ) here theta will be the angle to the terminal side with respect to the positive x - axis. This angle will be 60 degrees more than 90, or 90 + 60 = 150 degrees
( 9, θ ) and here theta will be the remaining degrees, or 360 - 150 = 210 degrees. Right away your solution will be (9, 210°)
|2x + 12| = 18
First, break down the problem into 2 equations . / 2x + 12 = 18 and -(2x + 12) = 18
Second, solve the first equation. /

Subtract 12 from both sides. /

Subtract 18 - 16. /

Divide both sides by 2. /

Simplify. /
Third, solve the second equation. / -(2x + 12) = 18
Simplify your brackets. /

Add 12 to both sides. /

Add 18 + 12. /

Divide both sides by -2. /

Simplify. /

Simplify. /
Fourth, collect the solutions. /

Answer:
x = -15, 3
Answer:
The minimum cost is $17.30c
Step-by-step explanation:
Given
--- Volume
--- cost of wall paint
---cost of ceiling paint
Required
Minimum cost of paint
The volume is calculated as:

Substitute 288 for V

Make z the subject

The surface area is calculated as:

Because xy represent the dimension of the ceiling and the opposite of the ceiling (the floor) will not be painted. Hence, it does not require a coefficient of 2
The cost is:

Substitute 





Differentiate w.r.t x and y


By comparison: 
Set them equal to 0


Substitute x for y


Cross multiply



Take the cube root of both sides
![x = \sqrt[3]{216}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%5B3%5D%7B216%7D)


Substitute 6 for x and for y in 




--- approximated