Hello from MrBillDoesMath!
Answer: Perimeter = 17x + 4
Discussion:
(So you are trying to sneak #2 out of me too..... );
Perimeter = sum of lengths of sides. Starting at the bottom of the figure and proceeding counterclockwise.
Perimeter = (3x +2) + (3x+2) + (4x-1) + (4x-1) + (3x + 2) .
Separate and combine x's and constants:
Perimeter = (3x + 3x+4x+4x+3x) + (2 + 2 -1 -1 + 2) =
= 17x + 4
You answer has the wrong constant value ( you wrote 17x + 1. The constant should be 4)
Thank you,
MrB
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.
What this setup essentially represents is “How many 8s can we take away from 32 before hitting 0?” Which in turn can be reframed as “How many 8s fit into 32?” This can be captured in the expression 32 / 8. As we can see from the problem, we can take away 4 8’s before hitting 0, so that gives us the equation 32 / 8 = 4
