A carnival manager counted 275 ticket receipts after the first day of the carnival. The price for an adult ticket was $11.50, and the price for a student ticket was $10. The total amount of money collected was $2,930. Let x represent the number of adult tickets and y represent the number of student tickets. Write the ordered pair, (x, y), that represents the ticket sales.

The ordered pair that represents the ticket sales is (120,155).

Step-by-step explanation:

From the information given, you can write the following equations:

x+y=275 (1)

11.50x+10y=2,930 (2), where:

x is the number of adult tickets

y is the number of student tickets

Now, you can solve for x in (1):

x=275-y (3)

Then, you can replace (3) in (2):

11.50(275-y)+10y=2,930

3,162.5-11.50y+10y=2,930

3,162.5-2,930=11.50y-10y

232.5=1.50y

y=232.5/1.50

y=155

Finally, you can replace the value of y in (3) to find x:

x=275-y

x=275-155

x=120

According to this, the answer is that the ordered pair that represents the ticket sales is (120,155).

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

-2

7 - 9 = -2

reversed:

-2 + 9 = 7