Step-by-step explanation:
let us attend to each cases one after the other. each relationship is in bold in parenthesis
1. The cost of hiring a mover is based on the distance traveled and the total weight of the objects moved. (positive or direct proportional relationship)
2. The amount of time needed to paint a house decreases as the number of painters increases.(Negative or inverse relationships)
3. The income of a worker who gets paid an hourly wage depends on the number of hours worked positive or direct proportional relationship)
Scale factor is used by architects or engineers to transfer their prototype idea to large-scale use. If the volume of a prism is 20, you need to multiply its dimensions with a scale factor to find the new volume which is 540. For example, if the volume is doubled, this means you used a scale factor of 2. Hence, you just have to divide the new volume by the smaller volume.
Scale factor = 540/20
Scale factor = 27
Answer:
Sedan: 4 passengers
Minivan: 6 passengers
Step-by-step explanation:
We can write the following system of equations:
, where 
represents the number of people a sedan can seat and 
represents the number of people a minivan can seat.
Subtracting the first equation from the second, we have:
Now plug in 
in any of the equations to solve for :
Verify that the solution pair 
works:
Therefore, a sedan can hold 4 passengers and a minivan can hold 6 passengers.
Answer:
113.04 cubic units. ".04" is four hundredths.
(the units are not given here. They could be cubic feet, cubic inches, cubic meters, cubic centimeters. or other measurements.)
Step-by-step explanation:
To find volume we need to multiply the area of the base times the height.
The base of a cylinder is a circle.
The area is πr²
The given radius here is 3
3² is 9
π × 9 using 3.14 is 28.26
Multiply that area by the given height, 4
28.26 × 4 = 113.04
The volume if this cylinder is 113.04 cubic units.
