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1.3a Pg.14 #1-4 all. The fourth figure will have 17 Squares Calculate the number of squares in the nth figure by adding 1 to 4 times the number n 1 + 4n A. 2n B. The pattern is that the figure is an “ nxn ” square, so the area is simply n*n or (n)^2. 1.3 Pg.15-20 # 3-45 e3.
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1.3a Pg.14 #1-4 all
The fourth figure will have 17 Squares Calculate the number of squares in the nth figure by adding 1 to 4 times the number n 1 + 4n A. 2nB. The pattern is that the figure is an “nxn” square, so the area is simply n*n or (n)^2
1.3 Pg.15-20 #3-45 e3
4v 18) 20 + j 21) 12y x+ 8 50 / h 9) 2t / 12 12) 3w + 5 24) 180 Miles 5280 ft 1 hr 1 min 2 hours 1 mile 60 mins 60 seconds 132/1 = 132 feet per second
27) The units in the answer should be dollars, not dollars per foot 9 yards * = $54 30) 3 feet n(n+1) $2 50(51) 2550 50(50+1) = 1275 1 yard 1 foot 2 2 2 2
33a) The juice in the 48 oz costs $.055/oz The juice in the 64 oz costs $.06/oz 33b) The 48 oz container costs less per ounce 33c) 192 oz * $0.055/oz = $10.56 192 oz * $.06/oz = $11.52 $11.52 - $10.56 = $.96 You save $.96 by buying the 48 – ounce containers $2.64 $3.84 48 oz 64 oz
36) = Let m be the number of minutes you ride. 12 + 0.24m = 12 + 0.24(15) = 15.6 You cover a total distance of 15.6 miles 39) A = LW = 3.5 cm * 2 cm = 7 square cm 42) When y = 22; y-6 (22) – 6 = 16 0.1 Miles 60 seconds 0.24 mile 45) y=1 5 – 2y2 5 – 2(1)2 5 – 2 = 3 25 seconds 1 minute 1 minute
1.4 Pg.21-26 #3-57 e3
3) 42 + n = 516) 12 + 8k = 489) 8 < b + 3 < 1212) P ≤ 1015) The phrase “at most 15” indicates that (t/4.2) must be less than or equal to 15, not greater than 15. The verbal sentence should be (t/4.2) ≤ 15.18) 9 + 4y = 17 13 = 17 FALSE!!!!! 9 + 4(1) = 17 1 is not a solution. 9 + 4 = 17
(r/3) – 4 = 4 (12/3) – 4 = 4 4 – 4 = 4 0 =4 FALSE!!!12 is not a solution 24) Y – 3.5 < 6 9 – 3.5 < 6 5.5 < 6 TRUE!!! 9 is a solution 4z – 5 < 3 4(2) – 5 < 3 8 -5 < 3 3 < 3 False!!! 2 is not a solution 30) Y + 16 = 25 Think: What number plus 16 equals 25?9
33) 8b = 72Think: 8 times what number equals 72?9 Let m = miles you still need to walk12.5 + m = 20m = 7.5You still need to walk 7.5 miles 36)
42) 8(2.5) ≤ 18 20 ≤ 18 You cannot bake 8 batches because 8 batches would take 20 cups, and you only have 18 45a) 6r + 5(10 – r) ≥ 55 45b) If you spend 10 total hours and the same amount of time is spent at each job, you spend 5 hours at each6(5) + 5(10 – 5) ≥ 55 30+ 25 ≥ 55 55≥ 55 You will meet your goal if you spend the same amount of time at each.
45c) If you spend the 10 hours running errands for $6 per hour, you would earn $60.Yes, you will meet your goal.If you spend the 10 hours walking dogs for $5/hr, you would earn $50You will not meet your goal. 48) Length = x; width = x-1; X + x+ x -1 + x – 1 = 22x =6; x-1 = 56 + 6 + 5 + 5 = 22The length = 6 inches; Width = 5 inches.
51) 5.25% = 0.0525 54) Perimeter = 2L + 2W 2(1.6) + 2(0.9) = 3.2 + 1.8 = 5m The perimeter is 5 meters 57) 5 / 0.25 * 3 = 20 * 3 = 60