Answer:
C
Step-by-step explanation:
A
(m² - 3m + 2) / (m² - m)
we see due to a little bit of experience with expressions and multiplications of expressions that
(m² - 3m + 2) = (m - 2)(m - 1)
(m² - m) = m(m - 1)
so,
(m - 2)(m - 1) / (m(m - 1)) = (m - 2) / m
so, that's not it.
B
(m² - 2m + 1) / (m - 1)
we see again
(m² - 2m + 1) = (m - 1)(m - 1)
so,
(m - 1)(m - 1) / (m - 1) = m - 1
so, that's not it.
C
(m² - m - 2) / (m² - 1)
we see again
(m² - m - 2) = (m - 2)(m + 1)
and
(m² - 1) = (m + 1)(m - 1)
so,
(m - 2)(m + 1) / ((m + 1)(m - 1)) = (m - 2) / (m - 1)
yes, that is the solution.
D
(2m² - 4m) / (2(m - 2))
2m(m - 2) / (2(m - 2)) = 2m/2 = m
no, that is not a solution.
<span>Jen bought 5 bags of beads. She counts 45 wooden beads and 21 glass beads in each bag. Which number sentences can be used to find the total number of beads in the bags? Choose<span> exactly two</span> answers that are correct.</span><span><span><span> A.</span>g = 5 × (45 + 21)</span><span><span> B.</span><span>g </span>= (5 × 45) + 21</span><span><span> C.</span>g = (5 × 45) + (5 × 21)</span><span><span> D.</span><span>g </span>= 10 × (45 + 21)</span></span>
The correct answer is 60 percent because all probabilities must add to 100%