Answer:
The amount of mango juice needed is 8 quarts
Step-by-step explanation:
To calculate the amount of mango juice needed, we will need to know the amount used the previous week.
Cranberry juice to Mango juice is 3:2 with cranberry used being 4 quarts. Let the quarts of Mango juice used be x
This means;
3/2 = 4/x
1.5 = 4/x
1.5x = 4
x = 4/1.5 quarts
Since they are making 3 times as much punch, the amount of mango juice needed will be 4/1.5 * 3 = 4 * 2 = 8 quarts
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.
