5) which sample space represents the factors of 8?\na) {1, 8}\nb) {1, 2, 4, 8}\nc) {2, 4, 8}\nd) {8, 16…

5) which sample space represents the factors of 8?\na) {1, 8}\nb) {1, 2, 4, 8}\nc) {2, 4, 8}\nd) {8, 16, 24}\n6) the following expression: 7b - 9a - 4b+12a is equivalent to:\na) 3ac + 3b\nb) ac - 4\nc) 3a - 3b\nd) 3b+3ac\n7) find the area of the shaded region. use the π key. round to the nearest square inch.\na) 115 in² c) 517 in²\nb) 336 in² d) 201 in²\n8) paloma has 3 jackets, 6 scarves, and 4 hats. what is the number of different outfits consisting of a jacket, a scarf, and a hat that paloma can wear?\na) 13 c) 24\nb) 18 d) 72

5) which sample space represents the factors of 8?\na) {1, 8}\nb) {1, 2, 4, 8}\nc) {2, 4, 8}\nd) {8, 16, 24}\n6) the following expression: 7b - 9a - 4b+12a is equivalent to:\na) 3ac + 3b\nb) ac - 4\nc) 3a - 3b\nd) 3b+3ac\n7) find the area of the shaded region. use the π key. round to the nearest square inch.\na) 115 in² c) 517 in²\nb) 336 in² d) 201 in²\n8) paloma has 3 jackets, 6 scarves, and 4 hats. what is the number of different outfits consisting of a jacket, a scarf, and a hat that paloma can wear?\na) 13 c) 24\nb) 18 d) 72

Answer

Explanation:

Step1: Find factors of 8

The factors of 8 are 1, 2, 4, 8. So answer to 5 is B.

Step2: Simplify expression

Combine like - terms in (7b - 9ac-4b + 12ac). ((7b - 4b)+(-9ac + 12ac)=3b + 3ac). No correct option.

Step3: Calculate shaded area

Area of rectangle (A_{r}=21\times(8\times2)=336) square - inches. Area of circle (A_{c}=\pi r^{2}=\pi\times8^{2}=64\pi\approx201) square - inches. Shaded area (A = A_{r}-A_{c}=336 - 201 = 135) square - inches. Answer to 7 is A.

Step4: Use counting principle

By multiplication principle, number of outfits (=3\times6\times4 = 72). Answer to 8 is D.

Answer:

  1. B. {1, 2, 4, 8}
  2. A. 135 in²
  3. D. 72