Twenty-five members of the eighth grade class at park center middle school are going to a museum and then to lunch. each student must pay an entrance fee to the museum and $7.25 for lunch. the total cost for the trip is $443.75. what is the entrance fee for one student?
a. $10.50
b. $17.46
c. $17.75
d. $61.21

Answer

Find out the what is the entrance fee for one student .

To prove

Let us assume that the entrance fee for the 25 student be x .

As given

Twenty-five members of the eighth grade class at Park Center Middle School are going to a museum and then to lunch.

Each student must pay an entrance fee to the museum and $7.25 for lunch.

The total cost for the trip is $443.75.

Than the equation

x + 25 × 7.25 = 443.75

x = 443.75 - 181.25

x = $262.5

Thus the entrance fee of the 25 students be $262.5

Entrance cost for one student = $10.5

Therefore the  entrance fee for one student be $10.5

Option (A) is correct .

Hence proved

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²