The sum of 7 consecutive numbers is 105. what are the numbers? show how to do it and steps!

We need to create an equation in order to solve this problem.

Let x = the smallest number

x+1 = next  number

x+2 the following number

x+3

x+4

x+5

x+6

So, we add those.

x+x+1+x+2+x+3+x+4+x+5+x+6=105

7x+21=105

7x = 84

x = 12

So the numbers are

12,13,14,15,16,17,18

Since they are consecutive, we can write that (x = the first number):

Let's simplify:

Solve for x:

That's the first number which means the numbers are the 7 numbers which follow: 12, 13, 14, 15, 16, 17, 18.

To check, sum of those is:

So, it all works out! Your answer is: 12, 13, 14, 15, 16, 17, 18.

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

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