Nicole had a strip of green paper that was 12 inches long. she cut the green paper into three pieces with equal lengths. she also had a strip of red paper that was 21 inches long. she cut the red paper into pieces that were the same length as each cut piece of green paper. when she finished cutting, how many pieces of red and green paper did nicole have in total?

Step-by-step explanation:

Given: The length of green paper is 12 inches long.

           The length of Red paper is 21 inches long.

First, lets find out length of each green paper after it is cut into 3 pieces.

As given, length of green paper is 12 inches.

Length of each cut pieces of green paper=

∴ Length of each cut pieces of green paper is 4 inches.

Now, as given Nicole cut the red paper into pieces that were the same length as each cut piece of green paper.

we know length of Red paper is 21 inches.

∴ Number of red paper pieces been cut=

Green paper have 3 pieces and red paper have 5.2 pieces.

Total number of cut pieces of green and red paper are= , as number of pieces cannot be in decimal.

domain is all the x values included in the

0 ≤ x ≤ 2

range is all the y values of the graph

-2 ≤ y ≤ 2

***keep in mind that there are different ways to show domain and range

hope this !

~just a girl in love with shawn mendes

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions