Answer: The price of an adult ticket = $6
The price of a student ticket = $12
Step-by-step explanation:
Let the price of an adult ticket be a
Let the price of a student ticket be b.
From the question,
5a + 14b = 198 ...... equation i
10a + 8b = 156....... equation ii
Multiply equation i by 10
Multiply equation ii by 5
50a + 140b = 1980 ...... equation iii
50a + 40b = 780 ....... equation iv
Subtract iv from iii
100b = 1200
b = 1200/100
b = 12
Put the value of b into equation ii
10a + 8b = 156
10a + 8(12) = 156
10a + 96 = 156
10a = 156-96
10a = 60
a = 6
The price of an adult ticket = $6
The price of a student ticket = $12
Answer: Today's temperature : 2t -10
Step-by-step explanation:
Hi, to write the expression of the statement given we have to analyze each phrase:
<em>Twice yesterday's temperature, t.</em> If t is yesterday’s temperature, twice that temperature equals 2t.
<em>The temperature today was 10 degrees colder than</em>: It means that we have to subtract 10 degrees :(-10)
Mathematically speaking:
Today's temperature : 2t -10
where t = yesterday's temperature
Feel free to ask for more if needed or if you did not understand something.
The line cuts the X axis at 
and is parallel to the Y axis.
Thus the equation of the line is $\boxed{x=3}$
