Answer: Hello!
In this problem you can chose 3 options:
the type of cone, the first flavour, and the second flavour.
a) In how many different ways can your order one cone and two scoops of ice cream?
You have 5 options for cones, 9 options for the first ball of ice cream, and 9 options for the second ball of ice cream (because you can repeat flavour) then the total number of combinations is the product of this 3 numbers, this is:
5*9*9 = 405 combinations
b) Here we cant order the same flavour of ice cream, then:
we still have 5 options for cones, 9 options for the first ball of ice cream, and this time 8 options for the second ball ( because we need to remove the flavour that we picked in the first ball of ice cream) then the number of combinations is:
5*9*8 = 360 combinations.
Answer:
The person who receives the most will get $24
Step-by-step explanation:
Let
x ----> amount received by the first person
y ----> amount received by the second person
z ----> amount received by the third person
we know that
----> equation A
so
----> equation B
----> equation C
substitute equation B and equation C in equation A
solve for y
Find the value of x
Find the value of z
therefore
The person who receives the most will get $24
We have the function 
and we want to find a function that has the same y-intercept than the previous function.
First, let's find the y-intercept by subtituting 0 for 'x'.
Now that we found that y-intercept =-3, any lineal function of the type: 
will have the same y-intercept. Where 'a' can take all the real values.
Also, any quadratic function of the type: 
will have the same y-intercept. Where 'a' and 'b' can take all the real values.
3x + 11y = 8
-3x -3x
11y = 8 - 3x
/11 /11
y = 0.72 - 3x/11
