Mark and Heather Starr are celebrating their 25th anniversary by having a reception at a local reception hall. They have budgeted $3,000 for their reception. If the reception hall charges a $100 cleanup fee plus $37 per person, find the greatest number of people that they may invite and still stay within their budget.
Mark and Heather can invite at most people to the reception
(Round down to the nearest whole person)

78 persons

Step-by-step explanation:

Given

Required

Determine the maximum number of person that can be invited

Let the number of persons be p.

If the hall charges $37 for 1 person, then it will charge $37p for p persons.

So:

The expression becomes:

Substitute values for Clean up, Charges and Budget

Subtract 100 from both sides

Make p the subject

Round down

Hence, they can only invite 78 people to stay within budget

answer:     true

step-by-step explanation:

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.