Let's say x = full price tickets
Let's say y = student tickets
We can write two equations:
From "585 tickets were sold" we can make the equation:
x + y = 585
And from "Full-price ticket is $2.50 and student ticket is $1.75 and total receipts is $1,217.25"...we can make the equation:
2.50x + 1.75y = 1,217.25
So now we can use substitution to find our answer...since we only have to find how many student tickets...we will solve the first equation for x so we can plug that into the 2nd equation to solve for y.
x + y = 585
x + y - y = 585 - y
x = 585 - y
Now we plug that into our 2nd equation: 2.50 (585 - y) + 1.75y = 1217.25
Distribute your 2.50
1462.5 - 2.50y + 1.75y = 1217.25
Add the y's: 1462.5 - 0.75y = 1217.25
Subtract 1462.5 from both sides:
1462.5 - 0.75y - 1462.5= 1217.25 - 1462.5
-0.75y = -245.25
Divide both sides by -0.75:
y = -245.25/-0.75
y = 327
There were 327 student tickets :)
Monday has the greater ratio of time on surveillance
Answer:
A
Step-by-step explanation:
Solving for y in the second equation is the best way because it will leave you with a direct equation of y = _______
This will allow for you to solve with substitution.
Answer:
V = 90 cm^3
Step-by-step explanation:
The volume is given by
V = Bh
where B is the area of the base and h is the height
The base is the two sides that are identical, which is the triangle
B = 1/2 bh
= 1/2 (4*3)
= 1/2 (12)
= 6
Substituting into the volume equation, where h = 15
V = 6*15
V = 90 cm^3
Answer:
(x - 4)×(x + 4)
Step-by-step explanation:
(x - 4)×(x + 4) = x^2 - 16
First we need to multiply inside the parenthesis one by one
Multiply x with (x + 4) and the result will be x^2 + 4x
Then multiply -4 with (x + 4) and result will be -4x - 16 we then add both of the result together by adding like terms
x^2 + 4x - 4x - 16 = x^2 - 16 (-4x eliminated 4x) therefore the answer to factorised form of x^2 - 16 is (x - 4)×(x + 4)
