Answer:
19-6x
Step-by-step explanation:
2/3(6-9x)+15
=4-6x+15
=19-6x
The number of red marbles in the bag is 19 and the number of blue marbles is 8.
<u>Explanation:</u>
Let R be the number of red marbles
Let B be the number of blue marbles
According to the question,
R + B = 27 (Total number of marbles is 27
) -1
R = 3B - 5 (Number of red marbles is 5 less than 3 times the number of blue marbles
)
Substitute the right half of the second equation for R in the first equation
3B - 5 + B = 27
Add 5 to each side and combine the Bs
4B = 32
Divide both sides by 4
B = 8
Use this value of B in the first equation
R + 8 = 27
R = 19
Therefore, number of red marbles in the bag is 19 and the number of blue marbles is 8.
Answer:
Approximately 338,000 people live in that area.
Step-by-step explanation:
In order to solve this problem we first need to find the area of the region, since it's delimited by a 7 miles radius, then we can assume it's a circular region. The area of the circle can be calculated by the following formula:
area = pi*r² = 3.14*(7)² = 153.86 miles²
Since the region has a density of 2200 people per square mile and the density is given by the formula:
density = number of people / area
We can find the number of people living in the region by doing:
number of people = density*area
Applying the data from the problem:
number of people = 2200*(153.86) = 338,492 people
The geometric mean of two numbers is the square root of their product.
sqrt{4 • 12}
sqrt{48}
sqrt{16} •sqrt{3}
4•sqrt{3}.
The geometric mean of 4 and 12 is
4•sqrt{3}.