A group of friends will host a party and split the cost of food and supplies evenly. The cost that each person will pay is inversely proportional to the number of friends who decide to host. If five friends host the party, each person pays $12 for food and supplies. Write an equation that describes the relationship between cost (c) that each host pays and the number of hosts (h).

C=60/h

Step-by-step explanation:

Cost is inversely Proportional to the number of friends who decides to host.

If five (5) friends host the party,

And each friend pays $12 for food and supplies

The equation that describes the relationship is

C=k ×1/h

Where,

C= cost that each host pays

K=constant

h=number of host

Therefore,

$12=k×1/5

$12=k/5

Make k the subject of the formula

$12=k*1/5

Multiply both sides by 5

12×5=k*1/5×5

60=k*5/5

60=k*1

60=k

Sub the value of k into

C=k ×1/h

C=60*1/h

C=60/h

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180