Answer:
-25 and 2
Step-by-step explanation:
x + y = -23
xy = 50, so y = 50 /x
.
x + 50/x =-23, x^2 +23x - 50 = (x-2)(x+25)
so 2 and -25
Answer:
2 1/3 cups for each hiker
Step-by-step explanation:
8bags x 3.5 cups in each bag =28 cups in total
28 cups shared among 12 hikers = 28/12 = 2 1/3 cups for each hiker
Answer:
x = 12
Step-by-step explanation:
"Using the variable x for unknown number what is five more than the quotient of a number and 6 equals 7" translates into 5 + x/6 = 7.
To solve use inverse operations.

A+8/3 = 2/3
Or, (3a+8)/3 = 2/3 [taking LCM]
Or, 3a+8 = 2 [3 in both denominators are cancelled]
Or, 3a = 2-8
Or, a = -6/3
.•. a = -2,,
Answer:
(a) yes
(b) 1/36
(c) 1/36
(d) 1/18
Step-by-step explanation:
(a) yes they are independent as the outcome of one does not affect the outcome of the other.
(b) As the dice are fair, each possible number (1 through 6) has the same probability of being rolled.
P(1 on green die) = 1/6
P(2 on red die) = 1/6
Therefore, P(1 on green die) AND P(2 on red die) = 1/6 × 1/6 = 1/36
(c) Again, as the dice are fair, each possible number (1 through 6) has the same probability of being rolled.
P(2 on green die) = 1/6
P(1 on red die) = 1/6
Therefore, P(2 on green die) AND P(1 on red die) = 1/6 × 1/6 = 1/36
(d) p[(1 on green die and 2 on red die) OR (2 on green die and 1 on red die)
= 1/36 + 1/36
= 2/36
= 1/18