Answer:
Senior citizen tickets = 9
Student tickets = 10
Step-by-step explanation:
We begin by converting the question into simultaneous linear equations;
Senior citizen tickets = a
Student tickets = b
4a + 6b = 96
8a + 13b = 202
to find a,
if 4a +6b = 96
a = 96/4 - 6b/4
a = 24 - 1.5b
We now substitute this into the second equation
8(24 - 1.5b) + 13b = 202
192 - 12b + 13b = 202
b = 202 - 192
b = 10
We now put the value of b in either equation
4a + 6b = 96
4a + 6(10) = 96
4a + 60 = 96
4a = 96 - 60
4a = 36
a = 9
Answer: "If there are not seven days in a week, then Halloween is not on October 31st.", and it is false because the inverse of a true conditional statement is false. Hope this helps and have a great day!
We're trying to evaluate a fractional expression here:
The first thing to do, is factor everything we can. The quadratic factors to (x + 1)(x+5) and the expression above that factors to 3(x - 4). 2x + 2 factors to 2(x + 1).
It looks a little complicated now, but if we combine the two we can cancel some stuff.
Still looking complicated, but look, we have (x+1) and (x+4) on the top and the bottom, that means they don't matter and we can get rid of them:
Tada! The area is 6/(x+5). We'd need to know x to go any further!
Need any more explanation?