Rate=amountdone/time
convert everybody to minutes
1 hour=60 minutes
45 mins=45 mins
1.5 hour=1.5 times 60=90mins
1hour and 10mins=60+10=70mins
laurenrate= 270packets/45mins=6ppm (packets per minute)
hannahrate=450packets/90mins=5ppm
jakobrate=280packets/70mins4ppm
whoever worked the fastest, has the highest ppm
lauren is winner
answer is A. lauren
The answer to the question
Answer: 78.8 ft
<u>Step-by-step explanation:</u>
Similar triangles have proportional sides.
![\dfrac{\text{building shadow}}{\text{building height}}=\dfrac{\text{flagpole shadow}}{\text{flagpole height}}\\\\\\\dfrac{35}{\text{building height}}=\dfrac{8}{18}\\\\\\\dfrac{35\times 18}{8}=\text{building height}\\\\\\\dfrac{35\times 9}{4}=\text{building height}\\\\\\\dfrac{315}{4}=\text{building height}\\\\\\\boxed{78.75=\text{building height}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7Bbuilding%20shadow%7D%7D%7B%5Ctext%7Bbuilding%20height%7D%7D%3D%5Cdfrac%7B%5Ctext%7Bflagpole%20shadow%7D%7D%7B%5Ctext%7Bflagpole%20height%7D%7D%5C%5C%5C%5C%5C%5C%5Cdfrac%7B35%7D%7B%5Ctext%7Bbuilding%20height%7D%7D%3D%5Cdfrac%7B8%7D%7B18%7D%5C%5C%5C%5C%5C%5C%5Cdfrac%7B35%5Ctimes%2018%7D%7B8%7D%3D%5Ctext%7Bbuilding%20height%7D%5C%5C%5C%5C%5C%5C%5Cdfrac%7B35%5Ctimes%209%7D%7B4%7D%3D%5Ctext%7Bbuilding%20height%7D%5C%5C%5C%5C%5C%5C%5Cdfrac%7B315%7D%7B4%7D%3D%5Ctext%7Bbuilding%20height%7D%5C%5C%5C%5C%5C%5C%5Cboxed%7B78.75%3D%5Ctext%7Bbuilding%20height%7D%7D)
Answer:
2x-37
Step-by-step explanation:
(x+6)2-49
Step 1: Distribute
2x+12-49
Step 2: Solve
2x-37
<span>In finding the solution for x, the idea is to isolate the variable on one side of the equation
5 - 3x = 2x + 9 |3x is added to the equation first
5 = 5x + 9 | 9 is subtracted from EQ second
-4 = 5x </span>