If p is any positive integer, then 15p - 6p is always divisible by which of the following?
15
9
6
11

The expression is always divisible by 9.

Step-by-step explanation:

Let is call the number with which the expression , then

must give an integer.

Simplifying the numerator, we get:

Now, this tells us that when , the the expression will always give an integer :

therefore, the expression will always be divisible by 9.

step-by-step explanation:

0

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!