![janyiareese12](/avatars/6760.jpg)
janyiareese12
14.11.2019 •
Mathematics
Bethany was born in minnesota, but now she lives in illinois, close to where
illinois, wisconsin, and lowa meet. she works in wisconsin, but she buys all
of her clothes at a store in lowa. if the sales tax rates for the four states are
as shown in the following table, which sales tax rate does bethany pay on the
clothes she buys?
Solved
Show answers
More tips
- F Family and Home Stay Warm but Don t Overheat: What is the Optimal Temperature for Your Home During Winter?...
- H Health and Medicine How to Treat the Flu: A Comprehensive Guide...
- O Other What is a Disk Emulsifier and How Does it Work?...
- H Health and Medicine How to Calm Your Nerves? Expert Tips That Actually Work...
- A Animals and plants 5 Tips for Taking Care of Yews to Keep Them Green and Beautiful...
- S Sport How to wrap boxing hand wraps? Everything you need to know!...
- F Food and Cooking 10 Reasons Why You Should Avoid Giving Re-Gifts: An Informative Guide...
- F Family and Home Tender Care for Your Parquet: Is it Possible to Clean Parquet?...
- S Style and Beauty How Are Eyelash Extensions Applied? All Your Questions Answered...
- F Food and Cooking 10 Tips for Proper Sushi Consumption...
Answers on questions: Mathematics
- M Mathematics Pizza planet is running a speacial.3 pizzas for 16.50 what is the unit rate for one pizza...
- M Mathematics Hehhhhhhhhhhhhhhhhh help? lol please...
- M Mathematics 3. The polynomial x3 + 4x2 + 7x + k, where k is a constant, is denoted by f(x). (a) Given that (x + 2) is a factor of f(x), show that k = 6. (b) Express f(x) as a product...
- A Advanced Placement (AP) I found this video on you tube its so funny you guys have to watch it Here: https://shrinke.me/vk5QL6Wi...
- E Engineering 1. What should you use to clean hand and power tools?...
- B Biology Write a description of each level of organization in the table. Also, provide an example for each level....
- E English “What’s on your mind?” After engaging with the lesson, I have learned that the characteristics of qualitative research are:1.2. 3. 4. 5. 6. Likewise, I have learned that...
Ответ:
Let a be the smaller of the two primes.
Now the middle of 2 primes is always even. So the middle number a+1 is divisible by 2.
Next the smaller of the primes when divided by 3 can have remainders 1,2.
1 is ruled out as possible remainder because then the remainder of a+2, the bigger of the primes would be (a+2) mod 3=(1+2) mod 3=3 mod 3=0,a contradiction since a prime number(except 3) when divided by 3 cannot have 0 as remainder.
So 2 is the only possible remainder of a. So the remainder of the bigger of the two primes when divided by 3 is (a+2) mod 3= (2+2) mod 3=4 mod 3=1.
This implies the middle number must have remainder (a+1)mod 3=(2+1)mod 3=3 mod 3=0. So the middle number is divisible by 3 also.
Hence a+1 is divisible by both 3 and 2 and since 2 and 3 have no common factors, so the middle number is divisible by 6