Answer:
468 ways
Step-by-step explanation:
Given: A catering service offers 5 appetizers, 4 main courses, and 8 desserts
To find: number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts.
Solution:
A permutation is an arrangement of elements such that order of elements matters and repetition is not allowed.
Number of appetizers = 5
Number of main courses = 4
Number of desserts = 8
Number of ways of choosing k terms from n terms = 
Number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts = 
So, this can be done in 468 ways.
Answer:
A factor, in mathematics, a number or algebraic expression that divides another number or expression evenly, with no remainder. A multiple of a number is any integer multiplied by the number. Try it yourself, now you know the how it works.
Answer:
(gof) (4) = 9
Hence, option A is true.
Step-by-step explanation:
f(x)=-x³
g(x)=|1/8x -1|
(gof) (4) = g{f(4)}
First wee need to determine f(4)
f(4)=-(4)³
= -64
so
(gof) (4) = g{f(4)} = g(-64)
= 
Thus,
(gof) (4) = 9
Hence, option A is true.
Answer:
D. 6
Step-by-step explanation:
the similarity theorem:
x/9 = 8/12
12x=8 (9)
12x = 72
x = 72/12
x = 6
Total number of cakes made by Simon = 30 cakes.
Number of cakes gave to Sali = 1/5 Of total cakes = 1/5 * 30 = 6 cakes.
Number of the cakes gave to Jane = 10% of 30 cakes
10% can be written as 10/100 in fracions and in decimals it would be 0.10.
Therefore, 10% of 30 cakes = 0.10 times 30 = 3 cakes.
Total number of cakes left = Total cakes made - Cakes gave to Sali - Cakes gave to Jane = 30-6-3
Therefore, Total number of cakes left = 21.
21 cakes left our of 30 cakes.
21 out of 30 could be written in fracion form as 21/30.
We can reduce this fracion in simplest form by dividing top and bottom by 3, we get
7/10.
Therefore, 7/10 fraction of the cakes does he have left.
