On number 22 of Math Exam 05, I picked the letter D. 133 because I knew it is divisible by 7 and 19. However, the question said I was wrong and that 153 was the only non-prime integer. I believe that you may have made a mistake.
Excellent catch! 133 is indeed 7 x 19 and fits the rule for 7 by the way… 13 – 2×3 = 13 – 6 = 7 which is divisible by 7. Answer D is a typo and supposed to read 131. Good eye and great input.
For #5, I was doing it for a while and I continue to see that the ratio between the 3 are 15 eeks: 20 erks: 24 elps. Then, shouldn’t elps to eeks = 24/15 =8/5
For #8, I don’t understand why we multiply 3 x 8 to find out how long one person takes to paint the house? And for #5, why isn’t it C=6/5B, sine the ratio of C to B is 6:5, and why isn’t it C= 3/4B since C to B is 3:4
12p = 12 x p = 12 x 2^3 x 3^4 but 12 = 2^2 x 3, so from the exponents laws we can add the exponents when multiplying by the same base.
12p = 2^2 x 3 x 2^3 x 3^4 = (2^2 x 2^3)(3^4 x 3^1) from the associative and commutative property of multiplication, which allow me to regroup and reorder terms.
(2^2 x 2^3)(3^4 x 3^1) = (2^(2+3))(3^(4+1)) = 2^5 x 3^5
If you are unclear on the exponent laws, make sure to review the lesson on exponent laws. You will have to be able to comfortably manipulate expressions for the exam much like this example and be confident using negative and rational exponents as well. I hope that helps.
On number 22 of Math Exam 05, I picked the letter D. 133 because I knew it is divisible by 7 and 19. However, the question said I was wrong and that 153 was the only non-prime integer. I believe that you may have made a mistake.
Excellent catch! 133 is indeed 7 x 19 and fits the rule for 7 by the way… 13 – 2×3 = 13 – 6 = 7 which is divisible by 7. Answer D is a typo and supposed to read 131. Good eye and great input.
For #5, I was doing it for a while and I continue to see that the ratio between the 3 are 15 eeks: 20 erks: 24 elps. Then, shouldn’t elps to eeks = 24/15 =8/5
Never mind. I know what I did wrong.
No worries. Keep up the questions. We’re here to help. The only downside to a question is not asking it.
For #8, I don’t understand why we multiply 3 x 8 to find out how long one person takes to paint the house? And for #5, why isn’t it C=6/5B, sine the ratio of C to B is 6:5, and why isn’t it C= 3/4B since C to B is 3:4
I don’t understand how to do number 2, can anyone explain it please?
p = 2^3 x 3^4
12p = 12 x p = 12 x 2^3 x 3^4 but 12 = 2^2 x 3, so from the exponents laws we can add the exponents when multiplying by the same base.
12p = 2^2 x 3 x 2^3 x 3^4 = (2^2 x 2^3)(3^4 x 3^1) from the associative and commutative property of multiplication, which allow me to regroup and reorder terms.
(2^2 x 2^3)(3^4 x 3^1) = (2^(2+3))(3^(4+1)) = 2^5 x 3^5
If you are unclear on the exponent laws, make sure to review the lesson on exponent laws. You will have to be able to comfortably manipulate expressions for the exam much like this example and be confident using negative and rational exponents as well. I hope that helps.