Answer:
10:30 am.
Step-by-step explanation:
We have been given that Ursula uses a printer that can print 12 pages per minute.
Ursula started printing flyer for an order yesterday. Today at 8 am she continued working on the order, and by 9 a.m. she had 420 flyers for the order completed. The order was to print 1500 pages.
Let us find the number of pages left to print.
To find the time it will take to print 1080 pages we will divide number of pages left to print by number of pages printed per minute.
90 minutes will be 1.5 hours , so 1.5 hours after 9 am will be 10:30 am. Therefore, the job was finished at 10:30 am.
We let k be the proportionality constant for the relationship between number of hours, h and speed of the walker, s.
h = k/s
Substituting the known values,
12 = k/5
k = 60
For the second scenario,
h = k/s
Substituting the calculated value for k and the given value for speed,
h = (60)(3 miles/hour)
h = 20 hours
h = 20 hours
Therefore, it will take 20 hours to walk with a speed of 3 miles per hour.
Answer:
Step-by-step explanation:
Since we are not told what to find, we can as well find the time taken by the rocket to reach its maximum height as shown
The rocket reaches its maximum height when the velocity is zero
v = dh/dt
v = -32t+64
Since v = 0 at maximum height
0 = -32t+64
32t = 64
t = 64/32
t = 2secs
Hence the rocket reaches the maximum height after 2secs
2.5y + 1.1x ∠ 10
2.5y = - 1.1x +10
y = (- 1.1/2.5)x + 4
Draw this function. It's descending (m negative). All values on the left of the lines satisfy this inequality
The current rate is simply equal to $175 per month, let
us call this as rate A:
A = 175
The new rate is $94 plus $4.50 per devices, let us call
this as rate B:
B = 94 + 4.50 x
where x is the number of devices connected to the network
The inequality equation for us to find x which the new
plan is less than current plan is:
94 + 4.50 x < 175
Solving for x:
4.50 x < 81
x < 18
So the number of devices must be less than 18.
- From the graph, we can actually see that the new rate
intersects the current rate at number of devices equal to 18. So it should
really be below 18 devices.
