Amita wants to make a mold for a candle. she wants the shape of the candle to be a rectangular prism with a volume of exactly 28 cubic centimeters. she wants the sides to be in whole centimeters. how many different molds can she make?

Answer & Step by Step Explanation:

What the question does not say, but what I will assume is true to have your answer of 10, is that the dimensions must be whole numbers.

Otherwise there would be an infinite number of cases

So we need 3 multipliers (LWH) to get 28

the factors of 28 in triples are

1 1 28

1 2 14

1 4 7

2 2 7

now each one of these can be turned to have a different base

e.g. the first one can be arranged only 2 ways, that is , a base of 1 or a base of 28

Same is true of last one, but the 2nd and 3rd can each have 3 different bases

so:

factors-- number of ways

1 1 28 -- 2

1 2 14 -- 3

1 4 7 --- 3

2 2 7 --- 2

total number of ways = 2+3+3+2 = 10

I hope this makes sense to you

step-by-step explanation:

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,