Answer:
Step-by-step explanation:
Given
Required
Find all product of real values that satisfy the equation
Cross multiply:
Subtract 7 from both sides
Reorder
Multiply through by -1
The above represents a quadratic equation and as such could take either of the following conditions.
(1) No real roots:
This possibility does not apply in this case as such, would not be considered.
(2) One real root
This is true if
For a quadratic equation
By comparison with
Substitute these values in
Add 56 to both sides
Divide through by 4
Take square roots
Hence, the possible values of r are:
or 
and the product is:
Answer:
Probability that first sock is blue is 0.33 and Probability that second sock is red is 0.16
Step-by-step explanation:
Number of red socks = 2
Number of white socks = 6
Number of blue socks = 4
Total socks in drawer = 2+6+4 = 12
The formula used to calculate probability is: 
We are given you draw out a sock, return it, and draw out a second sock.
We need to find the probability that the first sock is blue and the second sock is red?
Using formula:
Probability that first sock is blue = 4/12 = 1/3 = 0.33
Probability that second sock is red = 2/12 = 1/6 = 0.16
So, Probability that first sock is blue is 0.33 and Probability that second sock is red is 0.16
Answer:
Count how many times the numerator goes over the denominator.
11/3 = 3 2/3
Answer:
Method 1:
Find the Least Common Denominator (LCD) of all the denominators in the complex fractions.
Multiply this LCD to the numerator and denominator of the complex fraction.
Simplify, if necessary.
Method 2:
Create a single fraction in the numerator and denominator.
Apply the division rule of fractions by multiplying the numerator by the reciprocal or inverse of the denominator.
Simplify, if necessary.
The plane would travel 2550 miles
