How many positive integers under 50 are multiples of neither 4 nor 6
1 answer:
Candidates range from 1 to 50.
50/4=12 positive integers are multiples of 4
50/6=8 positive integers are multiples of 6
50/12=4 positive integers are multiples of 12 (LCM of 4 and 6)
By the inclusion/exclusion principle, the number of multiples of either 4 or 6 is equal to 12+8-4=16.
Therefore, the complement is the number of positive integers that are multiples of neither 4 nor 6 = 50-16=34.
50/4=12 positive integers are multiples of 4
50/6=8 positive integers are multiples of 6
50/12=4 positive integers are multiples of 12 (LCM of 4 and 6)
By the inclusion/exclusion principle, the number of multiples of either 4 or 6 is equal to 12+8-4=16.
Therefore, the complement is the number of positive integers that are multiples of neither 4 nor 6 = 50-16=34.
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Answer:
p>-3 open circle going to the right
closed circle going to the left
n<5 open circle going to the left
closed circle going to the right
1>x open circle going to the left
-1=d just a closed circle
Step-by-step explanation:
Before I answer these here are some good notes
If the inequality sign is < or > then the circle is going to be open
If the inequality sign is then the circle is going to be closed
If the inequality sign is facing the variable (ex: x>3) then the line is going to be going to the right
If the inequality sign is facing the constant (ex: x<3) then the line is going to be going to the left
p>-3 open circle going to the right
closed circle going to the left
n<5 open circle going to the left
closed circle going to the right
1>x open circle going to the left
-1=d just a closed circle
Answer:
The answers are in solutions.
Step-by-step explanation:
- Four businessmen invested a sum of Rs. 250,000 in the ratio of 3:5:7:10 to start a new business.
(i) The amount invested by each businessman is;
<u>1^st businessman invested:</u>
<u />
Rs. 30,000
<u>2^nd businessman invested:</u>
<u />
<u /> = Rs. 50,000
<u>3^rd businessman invested:</u>
<u />
<u /> = Rs. 70,000
<u>4^th businessman invested:</u>
<u />
= Rs. 100,000
- If they gained Rs. 50,000
(ii) The profit each one of them got is;
<u>1^st businessman got:</u>
<u />
<u /> = Rs. 6,000
<u>2^nd businessman got:</u>
<u />
<u /> = Rs. 10,000
<u>3^rd businessman got:</u>
<u />
<u /> = Rs. 14,000
<u>4^th businessman got:</u>
= Rs. 20,000