Rudolph is collecting Christmas trees to donate to needy families. He collects 31 trees He donates all of his trees to 3 of his friends Frazer gets 3 more trees than Sally Sally gets 7 fewer trees than flame How many trees do each of his friends get?

Frazer = x = 10 trees

Sally = y = 7 trees

Frame = z = 14 trees

Step-by-step explanation:

We have 3 friends

They are represented by:

Frazer = x

Sally = y

Frame = z

Total number of trees donated = 31

Rudolph is collecting Christmas trees to donate to needy families. He collects 31 trees He donates all of his trees to 3 of his friends

Frazer gets 3 more trees than Sally

x = y + 3

Sally gets 7 fewer trees than Flame

y = z - 7

z = y + 7

How many trees do each of his friends get?

x + y + z = 31

y + 3 + y + y + 7 = 31

3y + 10 = 31

3y = 31 - 10

3y = 21

y = 21/3

y = 7 trees

x = y + 3

x = 7 + 3

x = 10 trees

z = y + 7

z = 7 + 7 trees

z = 14 trees

Therefore:

Frazer = x = 10 trees

Sally = y = 7 trees

Frame = z = 14 trees

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

3-4

step-by-step explanation:

the answer is 3-4 because both 45 and 60 has a multiple of 15.

45/3=15

60/4=15

therefore the odds against selecting a red is 4-3