Answer:
5.6 miles per gallon
Step-by-step explanation:
Equation for Mrs Sanchez: y = 36x
The rate of change = miles/gallon for Mrs Sanchez = 36 miles/gallon
Let's find the rate of change for Mr White:
Rate of change = change in y/change in x
Using two pairs of values form the table given, (2.5, 76) and (5, 152),
Rate of change = (152 - 76)/(5 - 2.5) = 76/2.5
Rate of change = miles/gallon = 30.4 miles/gallon
The difference between the miles per gallon of Mrs Sanchez and Mr White = 36 - 30.4 = 5.6 miles per gallon.
Therefore, Mrs Sanchez gets 5.6 miles per gallon than Me White
The option c) x < -24 represents the solution set of the given inequality.
<u>Step-by-step explanation</u>:
The given inequality is −1/4x−12 > −6
<u>To find the solution set :</u>
Keep the x term on one side and constants on other side of the inequality.
-1/4x > -6+12
-1/4x > 6
-x > (64)
-x > 24
Multiply both sides with -1 to remove the negative sign of x.
While multiplying or dividing a negative number in an equality, the inequality sign must be flipped.
⇒ x < -24
The segment is 8 units long
Answer:
11880 ways
Step-by-step explanation:
We can solve this problem in two ways. I'm going to show you how to do both.
We have 12 persons and are to choose a chairperson, a vice chairperson, secretary and a treasurer. So we are picking 4 members our of 12 persons.
From this 12, when we pick out one member, we are left with 11members. From 11, if we pick out another one, we have 10 left. From 10, if we pick out another member we have 9 left.
Such that
12 x11 x10x 9= 11880
These are the total different leadership structures possible.
Another way to solve this is by permutation method.
nPr
12!/(12-4)!
= 12!/8!
= 11880 ways