5x ≥-50
The answer is: x<span>≥-10</span>
Hello from MrBillDoesMath!
Answer:
41 sqrt(3)
Discussion:
My first reaction to the problem was:
sqrt(27) = sqrt ( 3 * 9) = 3 sqrt(3) and
sqrt(48) = sqrt (3*16) = 4 sqrt(3).
So...
7 * sqrt(27) + 5 sqrt(48) =
7 * (3 sqrt(3)) + 5 * (4 sqrt(3)) =
21 sqrt(3) + 20 sqrt(3) =
41 sqrt(3)
Regards,
MrB
P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!
The term dilate means that the new cone is wider, broader, or bigger than the cone in the given. I would assume that the given scale is 1:3. This means that the dimensions of the second one is 3 times than those of the first. We cube 3 and multiply the answer with the given volume of the original cone in order to solve for the volume of the second cone. That is,
volume of second cone = (1350 m³)(3³)
= 36,450 cm³
Answer:
1620
Step-by-step explanation:
The amount of even integers between 10 and 80 inclusive is 36 (5 for each interval of 10 [e.g., 10-19 has 5, 20-29 has 5] and one extra for 80).
Since the numbers are consecutive even numbers, we can use the fact that the sum of the numbers is equal to the average of the numbers, times the number of numbers.
The average of the numbers is 45, since 
. We can use only the two outer numbers to determine the average since the numbers are all evenly spaced as they are consecutive even numbers.
, so the sum is 1620.
Answer:
80
Step-by-step explanation:
Insert the values or x and y into the expression.
= 
= 80
