Answer:
Label: About 527.9 square centimeters
Aluminum: About 835.7 square centimeters
Step-by-step explanation:
Amount of paper needed for the label:
You can imagine taking off the label and unrolling it, forming a rectangle. The height of this rectangle will be the height of the cylinder, while the length of the rectangle will be the circumference of the cylinder. Therefore, the area of that rectangle will be
.
Amount of aluminum needed for the can:
This time, you need to add in the top and bottom of the can as well, which each have area
. Together, they have area
. Adding this to the area of the sides, you get a total of about 835.7 square centimeters.
Hope this helps!
Answer:
(-9.5, 6.75)
Step-by-step explanation:
I inputted both equations on the desmos website and they met at this point
Taking logarithms, you get

Answer:
each student gets 11 pencils
Step-by-step explanation: I searched it up
Answer:
45hours
Step-by-step explanation:
Given
Mary month earnings to be R(x)=13x+155
Josies monthly earning is given as Q(x)=9x+335
If Josie and Mary work to earn the same salary, then R(x) = Q(x)
13x+155 = 9x+335
subtract 155 from both sides
13x+155-155 = 9x+335-155
13x = 9x+180
subtract 9x from both sides
13x-9x = 9x+180-9x
4x = 180
x = 180/4
x = 45
Since x equals the number of hours worked by Josie and Mary, this means that Josie and Mary must work for 45hours to earn the same salary