Find the number of positive numbers less than 2020, which can not be written as the sum of six consecutive positive numbers.

334

Step-by-step explanation:

6 consecutive numbers can be written as:

n, n+1, n+2, n + 3, n + 4, n + 5,

The addition of those 6 numbers is:

n + n+1 + n+2 + n + 3 + n + 4 + n + 5

6n + 1 + 2 + 3 + 4 + 5 = 6n + 15

Let's find the maximum n possible:

6n + 15 = 2020

6n = 2020 - 15 = 2005

n = 2005/6 = 334.16

The fact that n is a rational number means that 2020 is can not be constructed by adding six consecutive numbers, but we know that with n = 334 we can find a number that is smaller than 2020, and with n = 335 we can found a number bigger than 2020.

So with n =  334 we can find one smaller.

6*334 + 15 = 2019

and we can do this for all the values of n between 1 and 334, this means that we have 334 numbers less than 2020 that can be written as a sum of six consecutive positive numbers.

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.

all group life insurance is term insurance. actually it is annual renewable term and it is rated on the average age and claims experience of the entire group, which is called "experience rating." remember, this type of insurance has a 31-day grace period and is convertible to whole life upon leaving employment. a contributory group plan requires that both the employer and the employees pay part of the premium. at least 75% of those eligible must participate, so the group is sure to get most of the healthy employees as well as those that are sick.

step-by-step explanation: