Answer:
x<6/7
Step-by-step explanation:
500 in 2:3 is saying that there are five different parts (2 + 3)
This means that 500 needs to be split into five, which is 100.
After that all you need to do is put 2 'sections' on one side and 3 on the other.
For example, 2 : 3 = 2( x 100) : 3( x 100)
= 200 : 300
Answer:
Height is 10 units
Volume is 785 cubic units
Step-by-step explanation:
We are given;
Diameter of a cylinder as 10 units
But, radius = d/2
= 5 units
Height is twice its radius,
Thus, Height = 10 units
We can get the volume;
Volume of a cylinder = pir²H
Taking pi to be 3.14
Then;
Volume = 3.14 × 5²× 10
= 785 cubic units
Thus, the volume of the cylinder is about 785 cubic units
Answer:
Least positive integer divisible by the numbers 2, 4, and 7 is 28
Step-by-step explanation:
We can find the least positive integer divisible by the numbers 2, 4, and 7 by taking the LCM
First lets List all prime factors for each number.
Prime Factorization of 2
2 is prime => 
Prime Factorization of 4 is:
2 x 2 => 
Prime Factorization of 7 is:
7 is prime => 
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
2, 2, 7
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 7 = 28