A number is called flippy if its digits alternate between two distinct digits. For example, 2020 and 37373 are flippy, but 3883 and 123123 are not. How many five-digit flippy numbers are divisible by 15?

4 numbers

Step-by-step explanation:

Given

Five Digit Flippy Numbers

Required

Determine the number of these digits divisible by 15

Represent the format of this digits as: ABABA

A number is divisible by 15 if and only if it ends with 5 or 0

i.e.

or

The first format cannot be considered because the number starts with 0 which means that

---- This is 4 digits not 5

Taking into consideration: 5B5B5

We know that 15 is a product of 5 and 3

i.e.

5B5B5 is divisible by 5 because it ends with 5. So, for a number of this format to be divisible by 15, it must be divisible by 3

Numbers in this category are: 50505, 53535, 56565 and 59595

Hence, there are 4 five-digit flippy numbers divisible by 5.

$35.59 in pounds

step-by-step explanation:

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)