Kylie plans to repaint some classroom bookcases. She has 2\frac{3}{4}
4
3

gallons of paint. All of the bookcases are the same size and each requires \frac{2}{3}
3
2

gallon of paint. How many bookcases will the custodian be able to repaint with that amount of paint?

  4

Step-by-step explanation:

If n is the number of bookcases to be painted, the number of gallons of paint required is ...

  (2/3)n

We want that value not to exceed 2 3/4 gallons, so we have ...

  (2/3)n ≤ 2 3/4

  n ≤ (3/2)(2 3/4) = (3/2)(2) +(3/2)(3/4)

  n ≤ 3 + 9/8 = 4 1/8

The largest integer less than 4 1/8 is 4. Kylie can paint 4 bookcases with the available paint.

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

a

step-by-step explanation:

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