Monica reads a 7 1/2 pages of a mystery book in 9 minutes. what is her average reading rate in pages per minute?

5/6 pages per minute

Explanation:

1.) set up problem

7 1/2 ÷ 9

2.) make 7 1/2 an improper fraction by multiplying 7 by the denominator of 1/2 and adding it to the numerator

15/2 ÷ 9

3.) flip the division sign to a multiplication sign and set a 1 over 9

15/2 • 1/9

4.) multiply

15/28

5.) simplify

5/6

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