A library receives a large cash donation and uses the funds to double the number of books it owns. Then a book collector gives the library 4028 books. After this, the library has 51,514 books. How many books did the library have before the cash donations and the gift of books?

Step-by-step explanation:

Let m represent the number of minutes used over 500. Then the cost of the cell phone plan is ...

  c(m) = 39.95 +0.35m

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For a cost of 69.70, the number of excess minutes can be found by solving ...

  69.70 = 39.95 +0.35m

  29.75 = 0.35m . . . . . . . . . subtract 39.95

  29.75/0.35 = m = 85 . . . . divide by the coefficient of m

The number of minutes of usage over 500 is 85.

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

sorry not sure

step-by-step explanation: