Answer:
Question 2 = 15 drinks
Question 3 = 7/12
Step-by-step explanation:
Question 2:
For every drink, there are three sizes
Ratio = 1:3
There are 5 flavors
Multiply each side by 5
5:15
15 drinks
Question 3:
5 red, 6 yellow, 8 blue, 3 orange, 2 purple
Possible outcomes = 5 + 6 + 8 + 3 + 2 = 24 possible outcomes
Favourable outcomes = 6 + 8 = 14 favourable outcomes
Fraction = 14/24 = 7/12
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Answer:
b = 7, c = -44
Step-by-step explanation:
If the quadratic equation has the solutions -11 and 4, the two factors are:

Since when we use the zero factor property we get
x+11=0 ⇒ x= -11
x-4=0 ⇒ x=4
Thus, we have used the zero factor property in reverse to find the factorization of the quadratic equation.
Now we develop the multiplications between parenthesis:

So b is the number that accompanies the x: b = 7
and c is the independent number: c = -44
Answer:
6.42$
Step-by-step explanation:
6.00 divided by 100 equals 0.6 multiplied by 7 equals 0.42 so the sales tax is 0.42 cents and the total is 6.42$
Answer:
720 different ways.
Step-by-step explanation:
Permutation has to do with arrangement. For example, in order to arrange 'n' objects in any order, this can only be done in n! ways since there is no condition or restriction on how to arrange the objects.
n! = n(n-1)(n-2)... (n-r)!
If there are 3 statistics books, 2 math books, and 1 computer science book on your bookshelf, the total number of books altogether is 3 + 2 + 1 = 6 books.
The number of ways that 6 books can be arranged in any order is 6!.
6! = 6(6-1)(6-2)(6-3)(6-4)(6-5)
6! = 6*5*4*3*2*1
6! = 120*6
6!= 720 different ways.
<em>Hence, the books on your shelf can be arranged in 720 different ways</em>.