To answer this question, use permutation since the order of the letter matters. There are 7 letters and only 4 are to be used for the code. This is a permutation of 7 taken 4 (7P4) which is equal to 840. Thus, the sample space is 840.
For the next questions, there are 3 vowels for as the first letter, only 6 letters are available for the second, 5 on the next, and 4 on the last. Multiplying these numbers give 360. To solve for probability, divide this number with the sample space. Thus, the answer is 3/7.
K = F + 459.67
Subtract K on both sides:
0 = F - K + 459.67
Subtract F on both sides:
-F = -K + 459.67
Divide each term by -1 so that the variables are positive:
F = K - 459.67
2x+y=5
To put this in slope intercept form, you simply have to get y by itself on the left side of the equation.
2x+y=5
2x+y-2x=5-2x
y=-2x+5
Now, I had to switch the right side around like that, because slope intercept form is y=mx+b
Because you're subtracting 2x from 5, it becomes 5 added to -2x when it's put in the correct form.
y=-2x+5
Price increase is $ 22-20 =$2 so the percent increase is 2/20 x 100= 10%
7.5 = x +
equals
x = 6.
First, subtract
from both sides. / Your problem should look like: 7.5 -
= x.
Second, simplify 7.5 -
to 6. / Your problem should look like: 6 = x.
Third, switch sides. / Your problem should look like x = 6, which is your answer.
