Answer:
b or a
Step-by-step explanation:
Answer:
12, 13, 14
Step-by-step explanation:
Denote the integers as:
x
x+1
x+2
The sum of their squares, so that would be;
(x^(2)) + (( x + 1 )^(2)) + (( x + 2 )^(2)) = 509
write out the squares
x^2 + x^2 + 2x + 1 + x^2 + 4x + 4 = 509
combine like terms
3x^2 + 6x + 5 = 509
inverse operations
3x^2 + 6x + 5 = 509
-5 -5
3x^2 + 6x = 504
factor
3x^2 + 6x = 504
3 ( x^2 + 2x ) =504
Inverse operations
3 ( x^2 + 2x ) = 504
/3 /3
x^2 + 2x = 168
Factor again
x ( x + 2 ) = 168
At this point, it should be obvious that x is 12 (because 12 * 14 = 168)
So now substitute back into the consecutive numbers
x = 12
x + 1 = 13
x + 2 = 14
Answer:
see picture below
Step-by-step explanation:
Answer: 140 female runners
Step-by-step explanation:
First find out the number of runners:
= 42% * 10,000
= 4,200 runners
Then find out the number of female runners:
= 4,200 * 1/3
= 1,400 female runners
Sally finished faster than 90% of the female runners which means that 10% finished faster or at the same time as her.
= 10% * 1,400
= 140 female runners
