Y=12
x=6
The triangle is a 30-60-90 triangle!
80 * 5/8 will give you how many are thoroughbreds.
80 * 5/8 = 50
Now subtract this from all of the horses.
80 - 50 = 30.
There are 30 quarter horses.
OR If 5/8 of the horses are thoroughbreds, then 3/8 are quarter horses.
80 * 3/8 = 30.
Solve using equations:
Gina 11 = a+b+c
Sam 27 = 2a+3b+2c
Robby 19= a+2b+2c
Gina *2 give 22=2a+2b+2c (subtract this from Sam to give)
b=5
the subtract Robby from Gina *2 to give a=3
[Question 1]
let d = number of dramas Gina rented, c = # of comedies, and t = # of documentaries:
[equation a] d + c + t = 11
[equation b] 2d + 3c + 2t = 27
[equation c] d + 2c + 2t = 19
if we subtract [a] from [c] we get:
[equation d] c + t = 8
if we subtract [c]*2 from [b] we get:
[equation e] -c - 2t = -11 or
[equation e] c + 2t = 11
Now we can subtract [e] from [d] to solve for t:
t = 3
Now put in 3 for t in [d] or [e] to solve for c:
c + 2(3) = 11
c + 6 = 11
c = 5
So she rented 5 comedies and 3 documentaries which leaves 3 dramas (which is answer A)
Answer:
12 pounds
Step-by-step explanation:
We we need to write equations to represent the situation in this problem.
x=weight of package
UPS cost=6+1+0.15(x-2)
UPS cost=6+1+0.15x-0.3
UPS cost=6.7+0.15x
FedEx cost=4+2+.25(x-2)
FedEx cost=4+2+0.25x-0.5
FedEx cost=5.5+0.25x
Next, we can set the two equations equal to each other to solve for x.
6.7+0.15x=5.5+0.25x
6.7+0.15x-5.5=5.5+0.25x-5.5
1.2+0.15x-0.15x=0.25x-0.15x
1.2/0.1=0.1x/0.1
x=12
It takes 12 pounds for the UPS and FedEx packages to cost the same amount to ship.
Alysha is 13 yrs old while Bryce is 15
