Prove step by step that 5^20-5^19 is an even number with out using a calculator Please can you tell me the steps and why?

9514 1404 393

  factor out 5^19

Step-by-step explanation:

a) Reason from parity:

  both 5^20 and 5^19 are products with only odd numbers (5) as factors. Hence each is an odd number. The difference of odd numbers is always even.

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b) Factor:

  5^20 -5^19 = 5^19(5 -1) = 5^19×4

This product has an even factor (4), so is even.

step-by-step explanation:

i could only see the first page. the other pages were blurry. ; -;

x hot dogs for 2$, y drinks for 3$. 29 items and total 70

2x+3y=70

x+y=29

if x=17and y=12

2(17)+3(12)=70

34+36=70