Answer: The answer is 4.
Step-by-step explanation: Given that -
The number of cups of yogurt that Carol has to make smoothies is given by

and the number of cups of yogurt that each smoothies uses is given by

Let 'n' be the number of smoothies that Carol can make with the available yogurt, then we have

Thus, the maximum number of smoothies is 4.
Answer:
Option D is correct
Step-by-step explanation:
Using the given diagram, we want to know the equation that is true
Option A is wrong as both are on a straight line and in fact should add up to equal 180 and not be equal to each other
Option B is not correct as both are supplementary and does not equal each other
Option C is not correct, both are corresponding to each other and should not add up to 90
Option D is correct
Both angles are supplementary as they are exterior angles that add up to 180
Answer:

Step-by-step explanation:
=> 78% makes:
=> 
<u><em>In simplest form:</em></u>
=>
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