answer:The ceiling function lceil x rceil rounds x up to the nearest integer. So, lceil -2.4 rceil = boxed{-2}. The answer is: -2

answer:First, we find g(-2) = (-2-1)^2 = (-3)^2 = 9. Then, we substitute this value into f(x) to find f(g(-2)) = f(9) = 3(9) + 2 = boxed{29}. The answer is: 29

answer:Lenny bought 20 boxes of pens, and each box contained x pens. So the total number of pens she bought is 20 * x. She gave 40% of the pens to her close friends, which means she gave away 40% of 20 * x = 0.4 * 20 * x = 8x pens. The remaining number of pens is 20 * x - 8x = 12x. She then gave one-fourth of what's left to her classmates, which means she gave away (1/4) * 12x = 3x pens. The number of pens left for Lenny is 12x - 3x = 9x. We are given that the number of pens left for Lenny is 45, so we can write: 9x = 45. Solving for x, we get: x = 5. The value of x is 5. 5 The answer is: 5

answer:Joey plans to mow 3 neighbors' lawns for 8 each, so he earns 3 * 8 = 24 from mowing lawns. He plans to sell 2 collectible figures for 9 each, so he earns 2 * 9 = 18 from selling collectible figures. He also plans to work an after-school job for 10 hours at 5 per hour, so he earns 10 * 5 = 50 from his job. In total, Joey earns 24 + 18 + 50 = 92. If his earnings just cover the price of the High Jump sneakers, then the shoes cost 92. 92 The answer is: 92