Beth read a total of 12 books over 7 months.
If Beth has read 84 books so far, how many months has she been with her book club?
Solve using unit rates.

She has been with her book club for 49 months.

Step-by-step explanation:

If Beth reads a total of 12 books per 7 months, then that is our unit rate. If she has read 84 books so far, then we divide 84 books by 12 books/7 months, which is the same as multiplying by 7 months/12 books. When we do that, the books cancels out with the books, and we get 49 months/1, which is 49 months.

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step-by-step explanation:

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