Answer:
senior tickets are 12
student tickets are 3
Step-by-step explanation:
s= senior
t = student
10s+5t =135
14s + 3t=177
10s+5t =135
divide by 5
2s+t = 27
multiply by -3
-3(2s+t) = -3*27
-6s -3t =-81
add this to 14s+3t=177
-6s -3t =-81
14s + 3t=177
---------------------
8s = 96
divide by 8
s = 12
senior tickets are 8 dollars
2s+t = 27
2(12) +t = 27
24 +t =27
subtract 24
24+t-24 = 27 -24
t =3
student tickets are 3
To simplify this use the distributive property.
4(5x)= 20x
4(8)=32
4(3p)=12p
Your simplified answer is
20x+12p+32
So you have to make two equations. Let's say x stands for shirts and y stands for pants. 4x+3y=85.50. The second equation would be, 5y=115-3x. Since you need one of them to have x= or y=, you need to change it to that form. y=. Then you do substitution and solve which leaves you with:
Shirts are $7.50
Pants are $18.50
750/14=53.57
53.57 gallons per minute
Solution :
Let us consider the squares be ![$[1, 16] \times [16, 32]$](https://tex.z-dn.net/?f=%24%5B1%2C%2016%5D%20%5Ctimes%20%5B16%2C%2032%5D%24)
If x ranges from the 0 to 16 and the y ranges from 16 to 32, we see that the boundary of the region
which goes from the
.
And so it is easier to find the area of region where
. This is the triangle with points
as its vertices.
The area if the triangle is = 
= 
Now the entire area is
= 256
Then, 
or 
Thus the answer is 