Answer:
1100 field-side tickets and 4500 end-zone tickets.
Step-by-step explanation:
Let x represent number of field side tickets and y represent number of end-zone tickets.
We have been given that the total number of people at a football game was 5600. We can represent this information in an equation as:
We are also told that Field-side tickets were 40 dollars and end-zone tickets were 20 dollars.
Cost of x field side tickets would be 
and cost of y end-zone tickets would be 
.
The total amount of money received for the tickets was $134000. We can represent this information in an equation as:
Upon substituting equation (1) in equation (2), we will get:
Therefore, 1100 field side tickets were sold.
Upon substituting in equation (1), we will get:
Therefore, 4500 end-zone tickets were sold.
Answer:
2min per lap
Step-by-step explanation:
Answer:
You should go with the 1st, because it's cheaper.
Step-by-step explanation:
1st plan:
30$ which include 75 mins of free calls and 100 free text messages
25 more mins * 10¢ /min(0.1$/min) = 2.5$
You will pay 32.5$
2nd plan:
(calls)100*0.3$=30$
(text messages)100 * 0.1$=10$
30+10 = 40$
The correct answer is C: 1/(x + 4)(x - 5)
Why? Well, let's first simplify x^2 - 3x - 10 and x^2 + x - 12; the two denominators. Each of these should become an (x +/- number), and to figure out the number, as well as whether it is positive or negative, we can do a simple trick
Look at the factors of the right number (In this case, -10 and -12)
-10 -12
1 * -10 1 * -12
-1 * 10 -1 * 12
-2 * 5 -2 * 6
2 * -5 2 * -6
-3 * 4
4 * -3
Now for part 2
Which of these pairs add up to the middle number? One of the pairs of -10 should make -3, and likewise, one of the pairs of -12 should make 1 (when x has no number in front of it you may safely assume it is 1).
2 - 5 = -3 and 4 - 3 = 1, so we now know that the 2 fraction equations simplified is
x + 2 / (x + 2)(x - 5) * x - 3/(x -3)(x + 4)
Notice anything repeating? As long as they are apart of the same fraction, we can cross out anything that has the same x - number. Crossing out both x + 2 and x - 3, we now simply have x - 5 * x + 4. Because we crossed out both numerators, the top numbers both become 1, thus giving our answer, C.
