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labwork [276]
2 years ago
11

Answer to this math problem

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
4 0
Subsitute 1/3 for t

18(\frac{1}{3})^2=18(\frac{1}{9})=\frac{18}{9}=2
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A catering service offers 5 appetizers,4 main courses, and 8 desserts. A customer is to select 4 appetizers,2 main courses,and 3
Alisiya [41]

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 = nPk=\frac{n!}{(n-k)!}

Number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts =  5P4+4P2+8P3

=\frac{5!}{(5-4)!}+\frac{4!}{(4-2)!}+\frac{81}{(8-3)!}\\=5!+\frac{4!}{2!}+\frac{8!}{5!}\\=5!+(4\times 3)+(8\times 7\times 6)\\=120+12+336\\=468

So, this can be done in 468 ways.

7 0
2 years ago
Put these in order to least to greatest 57 over 8, 7.26, 7.118, 7 and 2 over 11 in order please
Lunna [17]
2 over 11, 7, 7.118, 57 over 8, 7.26
3 0
2 years ago
Read 2 more answers
Which equation could you use to solve for x in the proportion 4/5=9/x?
Margarita [4]

Answer:

Hope u liked it..............

3 0
3 years ago
A father is 28 years older than his son. in 8 years time he will be 3 times as old as his son. how old is the father now?
mariarad [96]

Answer:

34 years

Step-by-step explanation:

f = s + 28          Eq. 1

f+8 = 3(s+8)      Eq. 2

f = father age

s = son age

replacing Eq. 1 on Eq. 2

(s+28) + 8 = 3(s+8)

s + 36 = 3*s + 3*8

s + 36 = 3s + 24

36 - 24 = 3s - s

12 = 2s

12/2 = s

s = 6

from the Eq. 1

f = 6 + 28

f = 34

Check

from the Eq. 2

34+8 = 3(6+8)

42 = 3*14

6 0
1 year ago
on monday 3/4 inch of snow fell on tuesday 5/8 inch of snow fell write a statement that correctly compares the snow amounts
rodikova [14]
I'm not sure of the answer, but I think it might be 3/4>5/8 because 3/4 is a greater amount than 5/8
6 0
3 years ago
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