Answer:
60
Step-by-step explanation:
You want to then multiply 5*4*3 to represent the different combinations we can make for each place. This gives us a total of 60 different possible ways that the runners can come in 1st, 2nd, and 3rd place, assuming no ties.
Answer:
-1
Step-by-step explanation:
First we combine like terms, so y2 - 5y = - 3y
Now we get - 3y = 3
Then we divide both sides by - 3
Now we get y =-1
Answer: D The denominator
Step-by-step explanation: The denominator is always the bottom of your fraction.
A. 113 because vertical angles are congruent.
∆PQR and ∆SQT are similar, so corresponding sides occur in fixed ratios with one another. This means
SQ / PQ = ST / PR
Solve for x :
8 / ((x + 5) + 8) = (x - 9) / 21
8 / (x + 13) = (x - 9) / 21
168 = (x - 9) (x + 13)
168 = x² + 4x - 117
x² + 4x - 285 = 0
(x + 19) (x - 15) = 0
⇒ x = -19 or x = 15
But x can't be smaller than 9, otherwise ST = x - 9 would be a negative length. So x = 15.
