9.60 divided by 6 is 1.60
17.60 divided by 11 is 1.60
so each bottle is 1.60
Answer:
The perimeter of the plaque is 28 inches.
Step-by-step explanation:
Given : A house number is displayed on a plaque in the shape of a regular 7-sided polygon. The area of the plaque is 70 squared inches. The perpendicular distance from a side to the center is 5 inches to the nearest inch.
To find : What is the perimeter of the plaque?
Solution :
The 7-sided polygon can be divided into seven triangles whose height, h is equal to the perpendicular distance from each side to the center.
The base of each triangle is equal to the length of a side, s.
The area of each triangle is 
The area of the whole polygon is 
Now, the perimeter of a regular 7-sided polygon is 
.
Substitute in area,
We have given, 
The perimeter of the plaque is 28 inches.
Answer:
5
Step-by-step explanation:
We are given the geometric series:
-1, - 2, - 4, - 8.......
In the geometric series above, the common ratio = second term/first term = -2/-1
= 2
Where common ratio is greater than 1(r >1)
The sum of a geometric progression =
Sn = a(rⁿ -1)/r - 1
In the question we are asked to find the number of term = n
Sn = -31
a = -1
r = 2
Hence,
-31 = -1(2ⁿ - 1)/2 - 1
-31 = -1(2ⁿ - 1)
-31 = -2ⁿ + 1
2ⁿ = 1 + 31
2ⁿ = 32
2ⁿ = 2^5
n = 5
Therefore, the number of terms(n) = 5
Answer:
80 or 40 linear feet
Step-by-step explanation:
So the total amount of units for sides is 6. (2 2 1 1)
240 ÷ 6 = 40
So if the river was on the long side it would be 80feet, if the river was on the short side it would be 40feet
Replace w with 10 and solve for a:
10 = (a-7000/2000 + 2)
Subtract 2 from both sides:
8 = a-7000 /2000
Multiply both sides by 2000:
16,000 = a-7000
Add 7000 to both sides:
a = 23,000
You can climb 23,000 feet
The explanation is replacing w with the number of weeks ( 10) and solving for a. You can then check by replacing a with the solution and solving for w.
