Answer:she spent 10 hours working in her aunt's store last week.
Step-by-step explanation:
Let x represent the number of hours that Lee spent working at the movie theater.
Let y represent the number of hours that Lee spent working at her aunt's store.
Lee worked a total of 30 hours at the movie theater and her aunt's store. This means that
x + y = 30
Her combined pay from the jobs was $240. She earned $9 per hour working at the movie theater and $6 per hour working in her aunt's store. This means that
9x + 6y = 240 - - - - - - - - - -1
Substituting x = 30 - y into equation 1, it becomes
9(30 - y) + 6y = 240
270 - 9y + 6y = 240
- 9y + 6y = 240 - 270
- 3y = - 30
y = - 30/ - 3 = 10 hours
Answer:
Step-by-step explanation:
read,draw,write
The amount spent on each tube is $18.5
The total amount spent to rent 15 tubes by the group is $277.50.
Since they did not specify in the question the types of tubes they rented, we cannot determine each types of tubes that the group rented but we can determine the amount spent on each tube provided that they are all the same types.
∴
if 15 tubes = $277.50
1 tube = $x
By cross multiplying:
Therefore, we can conclude that the amount spent on each tube is $18.5
Learn more about arithmetic operations here:
brainly.com/question/15385899?referrer=searchResults
Answer:
Yes, a minimum phase continuous time system is also minimum phase when converted into discrete time system using bilinear transformation.
Step-by-step explanation:
Bilinear Transform:
In digital signal processing, the bilinear transform is used to convert continuous time system into discrete time system representation.
Minimum-Phase:
We know that a system is considered to be minimum phase if the zeros are situated in the left half of the s-plane in continuous time system. In the same way, a system is minimum phase when its zeros are inside the unit circle of z-plane in discrete time system.
The bilinear transform is used to map the left half of the s-plane to the interior of the unit circle in the z-plane preserving the stability and minimum phase property of the system. Therefore, a minimum phase continuous time system is also minimum phase when converted into discrete time system using bilinear transformation.
The ratio of the radii is 2:1, so the ratio of their surface areas is 4:1. <span>The area of a sphere is defined by 4 * pi * r^2 </span>
<span>So if the radius of the first sphere is 2r, then it would be (2r)^2 = 4r^2 </span>
<span>The rest is the same. So the ratio of their surface areas would be </span>
<span>4 * pi * 4r^2 divided by </span>
<span>4 * pi * r^2 </span>
<span>or 4.</span>
