Answer:
-8m + 24 - 32n
Step-by-step explanation:
-8 · m = -8m
-8 · -3 = 24
-8 · 4n = -32
<span>The answer of Faith mixes 14 liters of 12% acid solution with a 30% acid solution, which results in an 18% acid solution. Let x represent the number of liters of 30% acid solution used, and let y represent the number of liters of mixture. Which system of equations can be used to find the number of liters of 30% acid solution in the mixture? is c.</span>
Answer: Option 'a' is correct.
Step-by-step explanation:
Since we have given that
P(A) = 0.8
P(B|A) = 0.4
Since A and B are independent events.
Since P(B|A) is given, we will use the formula for "conditional probability":
So, 
Hence, it is true.
Therefore, Option 'a' is correct.
Answer:
$0.5
Step-by-step explanation:
We have been given an equation
, where R is rental charges and d is number of days Andrea rents the bike. We are asked to find the unit rate.
We know that unit rate represents the ratio between two different quantities. Unit rate represents how many units of one quantity are equal to one unit of another quantity.
Let us divide both sides of given equation by d:

Therefore, the unit rate for our given problem would be $0.5, which represents rental charges per day.
Given:
The given terms are
and 
To find:
The common factors of given terms.
Solution:
We have,
and 
The factor forms are


The common factors are 2, p, m, n, n. So,
Common factors = 
= 
Therefore, the common factor of given terms is
.