there were 508 people at a rock concert. Orchestra seats cost $25 per person and balcony seats cost $18. The amount sold totaled $11,223. Find the number of orchestra seats and the number of balcony seats sold for the concert.

211  balcony seats and 297  orchestra seats  

Step-by-step explanation:

x = Orchestra seats

y = Balcony seats

Total person at concert = 508

So      x + y = 508

Cost

Orchestra seat $25x

Balcony seats $18y

Total money $11,223

So $25x + $18y = $11,223

Solving      x + y = 508

              $25x + $18y = $11,223

Solving the first equation for x and substituting x into the second equation then solve for y.

x + y = 508

x = 508 - y    substituting x = 508 -y in second equation

25(508 - y) + 18y = 11,223

12700 - 25y + 18y = 11,223

12700 - 7y =     11223

-7y = 11223 - 12700

 -7y = -1477  

   y = -1477 ÷ -7

   y = 211  balcony seats

x + y = 508

x + 211 = 508

x = 508 - 211

x = 297  orchestra seats  

fahrenheit

step-by-step explanation:

fahrenheit is more precise than celsius. the ambient temperature on most of the inhabited world ranges from -20 degrees fahrenheit to 110 degrees fahrenheit—a 130-degree range. on the celsius scale, that range is from -28.8 degrees to 43.3 degrees—a 72.1-degree range. this means that you can get a more exact measurement of the air temperature using fahrenheit because it uses almost twice the scale.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.