Atrain conductor counted 300 ticket receipts on the 2: 00 pm train. the price for a student ticket is $8.25, and the price
for a regular ticket is $12. the conductor collected a total of $2,925.
let u represent the number of regular tickets and y represent the number of student tickets. write the ordered pair, (x, y),
that represents the ticket sales.

(x,y) = (120,180)

Step-by-step explanation:

Number of tickets receipts=300 tickets

Student ticket price= $8.25

Regular ticket=$12

Total amount collected= $2925

Let x to represent regular tickets

Let y to represent student tickets

Then you can form equations as shown below;

Equation for total number of tickets

x+y=300

Equation for total amount collected

$12x+$8.25y=$2925

Form simultaneous equations as;

x+y=300------------------(1)

12x+8.26y=2925---------(11)

You can use a graphing tool to graph the two equation and visualize the point of intersection of the graphs to get (x,y) values.

From the attached graph, (x,y) is (120,180)

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: