267 x 0.02 = 5.34
267 + 5.34 = 272.34
267 x 0.08 = 21.36
267 - 21.36 = 245.64
267 + 272.34 + 245.64 = $784.98
Answer:
y = -5/3 * x - 40/3
Step-by-step explanation:
A perpendicular line has an opposite and a reciprocal of the slope.
Your equation should be:
-5y = -3x +6
Divide all parts by -5.
y = 3/5x - 6/5
Since the perpendicular line has an opposite and a reciprocal of the slope, the slope will be -5/3.
Now you must make an equation in point-slope form. This is an example of that form. You will need at least one point to make this equation work. In this case we have (-8,0).
In put the y and x coordinates like this:
y - 0 = -5/3(x - (-8)
Start solving the equation.
y - 0 = -5/3(x + 8)
y - 0 = -5/3 * x - 40/3
y = -5/3 * x - 40/3
This is your equation.
y = -5/3 * x - 40/3
(You can make it -5/3x in your answer but it looks weird online. You may think that it is -5 divided by 3 times x, but it actually is 5/3 times x. That's why I wrote it as y = -5/3 * x - 40/3)
Answer:
<h2>
3,654 different ways.</h2>
Step-by-step explanation:
If there are 30 students in a class with natasha in the class and natasha is to select four leaders in the class of which she is already part of the selection, this means there are 3 more leaders needed to be selected among the remaining 29 students (natasha being an exception).
Using the combination formula since we are selecting and combination has to do with selection, If r object are to selected from n pool of objects, this can be done in nCr number of ways.
nCr = n!/(n-r)!r!
Sinca natasha is to select 3 more leaders from the remaining 29students, this can be done in 29C3 number of ways.
29C3 = 29!/(29-3)!3!
29C3 = 29!/(26!)!3!
29C3 = 29*28*27*26!/26!3*2
29C3 = 29*28*27/6
29C3 = 3,654 different ways.
This means that there are 3,654 different ways to select the 4 leaders so that natasha is one of the leaders
A is the correct answer. A coefficient is just a number that appears in front of a variable. Please note that a number that doesn't have a variable behind it is still a coefficient since there is technically a variable behind it with a power of 0.
