A) I would make the positive integer x and then form an equation.
x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6
Since the question asks for a positive integer the answer is 7.
B) two positive numbers x and y.
X - y = 3
x^2 + y^2 = 117
Use these simultaneous equations to figure out each number.
Rearrange the first equation
x = y + 3
Then substitute it into the second equation.
(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)
This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.
Use y to find x
x = y + 3
x = 6 + 3
x = 9
So the answers are x = 9 and y = 6.
Answer:
first y then x because y represents 22 and x represents 4 a week.
Answer:
3 hours is 60×3=180
1/6 of 180 =180÷ 6= 30
30 mins is the answer
Step-by-step explanation:
if you want to find another position other than 1/6 like 4/6 then you can just times the answer in this case 30 by the amout u need in this case 4 so 4/6 would be 120 which is 2 hours
Answer:
4
Step-by-step explanation:
half gallon is 64 oz. 256 ÷ 64 is 4
Answer:
20% of the invited people did not attend
Step-by-step explanation:
5 out of 25 people invited didn't attend Glen's party. That means the following:
people didn't come which simplifies to 
Multiply by the giant one 
so the denominator is 100 which is the denominator used to find percentages.
You end up with 
= 20%
