27k -6 is equal to 3(9k - 2 )
and 5x +60 is equal to 5(x + 12) :)))
i hope this is helpful
have a nice day
Answer:
The amount of popcorn needed to fill the paper cone is 
Step-by-step explanation:
we know that
The volume of a cone is equal to

In this problem we have



substitute


Answer:
108 yards
Step-by-step explanation:
Let circle A be the circle with the 62 yard diameter
Let circle B be the circle whose diameter we are trying to solve for.
- Externally tangent circles are circles which touch each other and share a common external tangent.
- Circle A has a tangent of 62 yards and thus a radius ( half the diameter) of 31 yards.
- The distance between the centers of the 2 circles is 85 yards. If you subtract the radius ( distance from the center of the circle to its circumference) of circle A then we'll only be left with the radius of circle B.
- 85 - 31= 54 yards which is the radius of circle B
- To get the diameter: 54 x 2 = 108 yards
(x + 12) = (x + 14) - 3
subtract 12 from each side
x = x + 14 - 3 - 12
Now if we subtract x from each side we see that x - x = 0. Combine the terms left over and we have -1, so
0 = -1
The answer is NO SOLUTION