Answer:
y = 9/b
Step-by-step explanation:
by = 9 solved for b yields y = 9/b.
Multiples of 5 end in 5 or 0 this would mean
5,10,15,20,25,30,35,40 are all multiples of 5
Step-by-step explanation:
<span>a · b = |a| |b| cos(theta)
=|a| * 14 * cos(45)
</span>a · b |a| =3
=>
|a| * 14 * cos(45) * |a| =3
|a| ² =3/(14cos(45))
|a| = sqrt(3/(14cos(45)))
=0.63868 (approx.)
let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:
2p + 3d = 18.25
4p + 2d = 27.50
From this, we can use substitution or elimination to solve:
For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.
For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.
I'll be using elimination in this case:
-2(2p + 3d = 18.25) --> -4p - 6d = -36.50
-4p - 6d = -36.50
4p + 2d = 27.50
-4d = -9.00
d = 2.25
4p + 2 * 2.25 = 27.50
4p + 4.50 = 27.50
4p = 23.00
p = 5.75
Now let's check our answer:
2 * 5.75 + 3 * 2.25 = 18.25
11.50 + 6.75 = 18.25
18.25 = 18.25
So drinks cost $2.25 and popcorn $5.75
