Abag contains purple marbles and blue marbles, 49 in total. the number of purple marbles is 6 less than 4 times the number of blue marbles. how many purple marbles are there?

Purple = p

Blue = b

Step 1: Write as an algebraic equation.

p = 4b - 6

p + b = 49

Step 2: Rearrange p + b = 49 to make p the subject.

p + b = 49

p = 49 - b

Step 3: Write p = 4b - 6 and p = 49 - b into one equation.

p = 4b - 6 = 49 - b

Step 4: Move all b values onto one side.

p = 5b = 55

Step 5: Find the value of one blue marble.

5b = 55

b = 11

Step 6: If there are 11 blue marbles and there are 49 marbles in total, then find the number of purple marbles.

p = 49 - b

p = 49 - 11

p = 38

ANSWER:

There are 38 blue marbles.

I know I'm very late but I just wanted to give the answer for future reference. There are 19 purple marbles.

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4