Answer:
2 
Step-by-step explanation:
The question state that; the sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.
First, we need to interpret and represent this statement mathematically
Let n be the number.
The sum means 'addition'
1/6 of that number is 1/6 of n = 1/6 × n = 
2 1/2 of that number is 2 1/2 of n = 2 1/2 × n = 5/2 × n = 
So the question says that, when we add; , and 7 all together, the value is 12 1/2
That is;
+ + 7 = 12 1/2
+ + 7 = 
( changing 12 1/2 to improper fraction will give )
So we can now go ahead and solve for n
+ + 7 =
subtract 7 from both-side of the equation
+ = - 7
= 
= 
can be reduced to give us 
=
Cross multiply
8n × 2 = 11× 3
16n = 33
Divide both-side of the equation by 16
= 
(On the left-hand side of the equation, 16 will cancel-out 16 leaving us with just, while on the right-hand side of the equation 33 will be divided by 16)
n = = 
Therefore the number is
Option E:
The value of m that makes the inequality true is 5.
Solution:
Given inequality is 3m + 10 < 30.
Let us first simplify the expression.
3m + 10 < 30
Subtract 10 from both side of the equation.
3m < 20 – – – – (1)
<u>To find the value of m that makes the inequality true:</u>
Option A: 20
Substitute m = 20 in (1),
⇒ 3(20) < 20
⇒ 60 < 20
It is not true because 60 is greater than 20.
Option B: 30
Substitute m = 30 in (1),
⇒ 3(30) < 20
⇒ 90 < 20
It is not true because 90 is greater than 20.
Option C: 8
Substitute m = 8 in (1),
⇒ 3(8) < 20
⇒ 24 < 20
It is not true because 24 is greater than 20.
Option D: 10
Substitute m = 10 in (1),
⇒ 3(30) < 20
⇒ 90 < 20
It is not true because 90 is greater than 20.
Option E: 5
Substitute m = 5 in (1),
⇒ 3(5) < 20
⇒ 15 < 20
It is true because 15 is less than 20.
Hence the value of m that makes the inequality true is 5.
Option E is the correct answer.
Hi! 1/2 + 1/3 is 5/6.
2 + 3 = 5
2 X 3 = 6
= 5/6
I hope this helped if I can help in anyway I would be happy to help you. Goodluck :)
