Admission to a baseball game is $2.00 for general admission and $6.50 for reserved seats. The receipts were $3836.50 for 1133 paid admissions. How many of each ticket were sold?

General admission:784

Reserved seats:349

Explanation

Step 1

set the equations

let x represents the number of general admisions tickets sold

let y represents the number of greserved seats tickets sold

price of general admission: $ 2.0

price of reserved seat: $ 6.5

so

a)The receipts were $3836.50,hence

B) also, the number of tickets sold is 1133, so

Step 2

solve the equations

a) isolate x in equation (2) and replace in equation(1)

now, replace in equation(1)

hence

the number of reserved seats sold is 349

b)now, replace the y value in equation (2) to find x

hence

the number of general admission tickets sold is 784

I hope this helps you

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.

b. a lightning bug, plug of grass, and a worm