Lucy was given $28.87 to buy 3 story books and 4 comic books. however she bought 4 storybooks and 3 comic books and had $2.69 left. how much did each comic book cost?

$5.27 each

Step-by-step explanation:

EQUATION 1:

--> Price of each story book: x

--> Quantity of story books: 3

--> Price of 3 story books: 3x

--> Price of each comic book: y

--> Quantity of comic books: 4

--> Price of 4 comic books: 4y

--> Total amount: $28.87

--> Equation> 3x + 4y = 28.87

EQUATION 2:

--> Price of each story book: x

--> Quantity of story books: 4

--> Price of 3 story books: 4x

--> Price of each comic book: y

--> Quantity of comic books: 3

--> Price of 4 comic books: 3y

--> Total amount: $28.87 - 2.69 = $26.18

--> Equation> 4x + 3y = 26.18

SOLVE:

3x + 4y = 28.87 (Multiply by 4)

4x + 3y = 26.18 (Multiply by -3)

--> 12x + 16y = 115.48

--> -12x - 9y = -78.54

12x-12x will be cancelled.

--> 16y-9y = 115.48-78.54

--> 7y = 36.94

--> y = 5.27

Therefore, each comic book cost $5.27.

4096 bacteria

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