Mr. Cooper is taking his dog trigg to a new daycare. After taking his dog to this daycare for 3 days, it costs him a total of 99 dollars. After taking his dog to daycare for 6 days, it costs him 183 dollars. Write an equation that represents the relationship between the total cost Mr. Cooper will pay for daycare and the math problemamount of days his dog is in day care

 y = 28x + 15

Step-by-step explanation:

This relationship is linear and so will be of the form;

y = Mx + c

y is the total cost paid

x is the number of days

Assume the points on the line are;

(3, 99) and (6, 183)

Finding M;

= (Y₂ - Y₁) / (X₂ - X₁)

= (183 - 99) / (6 - 3)

= 28

Find c using one of the points and m;

y =Mx + c

99 = 28 * 3 + c

c = 99 - 84

c = 15

Relationship is;

y = 28x + 15

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation:

(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