Answer:
128
Step-by-step explanation:
Method A.
The volume of the prism is 2 cubic units.
Each cube has side length of 1/4 unit.
The volume of each cube is (1/4)^3 cubic unit.
The volume of each cube is 1/64 cubic unit.
To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.
(2 cubic units)/(1/64 cubic units) =
= 2/(1/64)
= 2 * 64
= 128
Method B.
Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128
Answer:
25:64
Step-by-step explanation:
surface : 4×pi×R^2
R1 = 5x
R2 =8x
4piR1^2 / 4piR2^2 = R1^2/R2^2 = 5x^2/8x^2 = 25x^2/64x^2 = 25/64
Answer:
SEE BELOW
Step-by-step explanation:
Coprime numbers:
A Co-prime number is a set of numbers or integers which have only 1 as their common factor.
For eg: (2,3), (11,12), (99,100) and so on; they have 1 as their HCF. The sum of any two coprime numbers is always coprime with the product of the same two coprime numbers. For eg: The sum of 2 and 3 is 5 and the product of 2 and 3 is 6. Hence, 5 and 6 are coprime numbers.
Prime number
A number that can be divided exactly only by itself and 1, for example 7, 17 and 41
Solutions
⇒15 Cookie to 40 brownies can be written as 15:40
⇒15:40 is the ratio we have to simplify
The GCF of 15 and 40 is 5 so we divide them by 5
15 ÷ 5 = 3
40 ÷ 5 = 8
3:8 is in simplest form
First, subtract 7 on both sides. Now, you have 4x<1. Divide by 4 on both sides. Finally, you get x<1/4 (a quarter or said as one-fourth). So, x<1/4.
