Fraction= x/6
x=numerator
x/6=1/3
x=6(1/3)
x=6/3=2
answer: 2/6
to check
2/6=0.3333...
1/3=0.3333...
Let a = Adult tickets, s = Student tickets; we are going to set up a system of equations.
8a + 4s = 880
a - s = 20
We are going to multiply the second equation by so that we can cancel out one of the variables and solve for the other. This gives you:
8a + 4s = 880
4a - 4s = 20
Notice the s-variables will cancel:
12a = 900
a = 75
Now we plug in the amount of adult tickets to solve for the student ones.
75 - s = 20
- s = - 55
Divide both sides by - 1
s = 55.
There were 55 student tickets sold and 75 adult tickets.
Answer:
Solution given:
AD=1.8
AC=3.0
we have
∆ADC is a right angled triangle
Cos A=b/h
<A=cos-¹ (1.8/3)
<A=53.13°
again
∆ABC is a right angled triangle
Tan A=p/b=BC/AC
Tan 53.13×3=BC
BC=4
NOW
Area of triangle =½(AC*BC)=½(4×3)=6 <u>square </u><u>units</u><u> </u><u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>area</u><u>.</u>