Abag has 144 beads. one third of the beads are black, and one quarter of these beads purple. how many beads are not black or purple?

60

Step-by-step explanation:

144 beads divided by 3 would equal how many black beads there are, which is 48. 144 beads divided by 4 would be how many purple beads there are. which is 36. You would add the black beads and the purple beads, or 36 + 48, to get the total of both. 36 + 48 = 84. You would take the 144 beads total minus the 84 black and purple beads, which is 60.

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.