Penny reads 11 pages in 1/3 hour. What is the unit rate for pages per hour? For hours per page?

33 pages per hour

Step-by-step explanation:

1. To solve for how many pages Penny can read in one hour, we need to write a ratio of pages to hours.

2. Now, 1/3 goes into one, three times. This means that 11 goes into x, three times. We can write "11 goes into x, three times" as: .

3. (Solving x/11 = 3)

Step 1: Multiply both sides by 11

Therefore, Penny read 33 pages per hour.

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