It is true that Cavalieri's principle states that prisms with differently shaped bases can also have the same volume, so long as their heights and cross-sectional areas are the same. This is because <span>volume = height * area of cross-section whatever the shape of this area.</span>
*All in order:
Square root 8 can be classified as an Irrational number.
Square root 1 can be classified as a rational number.
8/1 can be classified as an integer
1/8 can be classified as a repeating decimal
1/8 can be classified as a terminating decimal
Hope this helps!
Answer: Mackenzie bought 7 bags of popcorn and 10 candies.
Step-by-step explanation:
Let x represent the number of bags of popcorn that Mackenzie bought.
Let y represent the number of candies that Mackenzie bought.
She bought a total of 17 bags of popcorn and candies altogether. This means that
x + y = 17
She bought $99.50 worth of bags of popcorn and candies. Each bag of popcorn costs $8.50 and each candy costs $4. This means that
8.5x + 4y = 99.5- - - - - - - - - - - - - - 1
Substituting x = 17 - y into equation 1, it becomes
8.5(17 - y) + 4y = 99.5
144.5 - 8.5y + 4y = 99.5
- 8.5y + 4y = 99.5 - 144.5
- 4.5y = - 45
y = - 45/ - 4.5
y = 10
x = 17 - y = 17 - 10
x = 7
The first 4 (.4) is 10x bigger than the second 4 (.04)
