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
You would know because for example, if it's out of 4 and the fraction said 4/4, that would mean one. 3/3 would mean one. 2/2 and so on
Answer:
P (not drawing a black marble) = 4/5
P (red marble) = 3/10
Step-by-step explanation:
The total number of marbles is
5 blue marbles +2 black marbles+ 3 red marbles = 10 marbles
P (not drawing a black marble) =
The marbles that are not black/ total marbles
(blue + red)/ total
(5+3)/10
8/10
4/5
P (red marble) = red marble/ total
= 3/10
Answer:
12 pieces each:
Step-by-step explanation:
Given
-- first string
--- second string
Required
Determine the number of equal pieces
To do this, we first calculate the HCF of the length of both pieces 
The HCF is:
<em>Hence, he can cut both strings to 12 pieces each</em>
<em></em>
<em>Recall that </em>
<em>The first string can then be cut in to 3 inches each (i.e. 36/12)</em>
<em>The first string can then be cut in to 4 inches each (i.e. 48/12)</em>
Answer: -17 degrees
Step-by-step explanation:
109-126 = -17
