Use a graphing calculator to graph the function below. What is the

Some people think it is unlucky if the 13th day of a month falls on a Friday. Show that in every calendar year (non leap or leap

MakcuM [25]

We will set a variable, d, to represent the day of the week that January starts on. For instance, if it started on Monday, d + 1 would be Tuesday, d + 2 would be Wednesday, etc. up to d + 6 to represent the last day of the week (in our example, Sunday). The next week would start over at d, and the month would continue. For non-leap years:
If January starts on d, February will start 31 days later. Following our pattern above, this will put it at d + 3 (28 days would be back at d; 29 would be d+1, 30 would be d+2, and 31 is at d+3). In a non-leap year, February has 28 days, so March will start at d+3 also. April will start 31 days after that, so that puts us at d+3+3=d+6. May starts 30 days after that, so d+6+2=d+8. However, since we only have 7 days in the week, this is actually back to d+1. June starts 31 days after that, so d+1+3=d+4. July starts 30 days after that, so d+4+2=d+6. August starts 31 days after that, so d+6+3=d+9, but again, we only have 7 days in our week, so this is d+2. September starts 31 days after that, so d+2+3=d+5. October starts 30 days after that, so d+5+2=d+7, which is just d. November starts 31 days after that, so d+3. December starts 30 days after that, so d+5. Remember that each one of these expressions represents a day of the week. Going back through the list (in numerical order, and listing duplicates), we have d, d, d+1, d+2, d+3, d+3, d+3, d+4, d+5, d+5, d+6 and d+6. This means we have every day of the week covered, therefore there is a Friday the 13th at least once a year (if every day of the week can begin a month, then every day of the week can happy for any number in the month).
For leap years, every month after February would change, so we have (in the order of the months) d, d+3, d+4, d, d+2, d+5, d, d+3, d+6, d+1, d+4, and d+6. We still have every day of the week represented, so there is a Friday the 13th at least once. Additionally, none of the days of the week appear more than 3 times, so there is never a year with more than 3 Friday the 13ths.

5 0

3 years ago

Vicky ran 5⁄14 of a mile and walked 1⁄7 of a mile. how much further did vicky run than walk?

raketka [301]

To solve, we need to subtract from these two fractions. In order to do this, we will change one of them to have the same denominator as the other.

We have 5/14 and 1/7
Let us change 1/7

Multiply 2/2 (a form of 1 so it does not change the value of the fraction)

2/2 • 1/7 = 2/14

Now subtract from 5/14
5/14 - 2/14 = 3/14

ANSWER: Vicky ran 3/14 of a mile more

7 0

3 years ago

The difference between one-fifth of a number and 4 is -75

Varvara68 [4.7K]

Think of this as (1/5)x - 4 = -75, where x is the number that we are trying to figure out. To figure this out, we want to get x by itself, so we can go:

(1/5)x=-71
x=-71*5
x=-355

So your number is -355

7 0

3 years ago

Join this question also on my profile https://brainly.com/question/23407814

ddd [48]

Answer:

ok i will

Step-by-step explanation:

8 0

3 years ago

5x-7=4 ------ 7 где полосочки это дробная черта

otez555 [7]

Answer:

5x-6+7

That's the answer

4 0

2 years ago