13. Higher Order Thinking Eve and Gerard

each have of a poster to paint. Eve

divided her half into 6 equal sections. She

painted one section blue. Gerard divided

his half into 5 equal sections. He painted

one section blue. Whose blue section is

larger? Explain.

Gerard's blue section is larger.

Step-by-step explanation:

Eve  divided her half into 6 equal sections and painted one section blue.

So, the blue-painted part will be of size part of the whole poster.

Again, Gerard  divided her half into 5 equal sections and painted one section blue.

So, the blue-painted part will be of size part of the whole poster.

Now, since 12 > 10, so,

Therefore, Gerard's blue section is larger. (Answer)

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