26 I believe, I'm pretty sure :)
The cost of each stone sphere is $ 36.81
<em><u>Solution:</u></em>
Given that,
An architect plans to buy 5 stone spheres and 3 stone cylinders
For the same amount, she can buy 2 stone spheres and 6 stone cylinders
Let "x" be that same amount
Let "a" be the cost of each stone sphere
Cost of each stone cylinder = $ 36.81
Therefore,
x = 5 stone spheres and 3 stone cylinders
x = 5a + 3(36.81)
Similarly,
x = 2 stone spheres and 6 stone cylinders
x = 2a + 6(36.81)
Equate both,

Thus cost of each stone sphere is $ 36.81
Answer:
GCF: 1
Step-by-step explanation:
Factors are numbers that can be evenly divided into another number. The greatest common factor of a set of numbers is the biggest number than can evenly divide into all the the numbers.
Let's list the factors of 60, 45 and 82
Factors of 60:
<u>1</u>, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Factors of 45:
<u>1</u>, 3, 5, 9, 15, 45
Factors of 82:
<u>1</u>, 2, 41, 82
The greatest factor that all 3 numbers share is 1.
Answer:
square units
Step-by-step explanation:
To predict the area of the piece of paper after 5 tears we can use a geometric sequence.
Each time a piece is torn, half of the previous area is lost. If the area of the first piece is 1 square unit then:

square units