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Archy [21]
3 years ago
9

Prove that 25^11 - 5^19 is divisible by 31.

Mathematics
1 answer:
Stells [14]3 years ago
7 0

Answer:

See below  

Step-by-step explanation:

                                        25¹¹ - 5¹⁹

Convert to base 5       = (5²)¹¹ - 5¹⁹

                                    =  5²²   - 5¹⁹

Factor out the GCF     =  5¹⁹(5³ - 1)

                                    =  5¹⁹(125 - 1)

                                    =  5¹⁹ × 124

                                    =  5¹⁹ × 4 × 31

31 is a factor of 25¹¹ - 5¹⁹, so the expression is divisible by 31.

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For each balloon game you win at the fair, you get 5 tickets. Jamal won 9 balloons games. Gary won 6 balloon games. Do they have
fgiga [73]

Answer

Find out the  do they have enough tickets altogether for a prize that is worth 100 tickets .

To prove

For each balloon game you win at the fair, you get 5 tickets.

Jamal won 9 balloons games.

Thus

Total number of tickets Jamal have = 9 × 5

                                                          = 45 ticket

Gary won 6 balloon games.

Total number of tickets Jamal have = 6 × 5

                                                          = 30 ticket

Total number of ticket Jamal and Gary have = 45 + 30

                                                                       = 75 tickets

No, they do not have enough tickets altogether for a prize that is worth 100 tickets .


8 0
3 years ago
With respect to a personal loan, the finance charge a borrower pays is _____. A. The extra money he or she pays in interest B. S
iogann1982 [59]
<h3>Answer: A) extra money paid in interest</h3>

When you get financing, it's another way of saying you get a loan. When you pay back the loan, you pay back the original amount borrowed (principal) plus interest. The term "interest" is interchangeable with "finance charge". In a sense, they are charging you money to let you borrow or finance. With good credit, the interest rate is likely to be lower, and therefore the finance charge would be lower as well. There is a very high chance that all loans use interest or else the bank wouldn't make any money.

8 0
3 years ago
Read 2 more answers
A toy store sells assorted bags of marbles sold in small or large bags the table show the number of each color of marble in the
Sidana [21]

Answer:

10

Step-by-step explanation:

3 0
4 years ago
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1. -2x(x+3)-(x+1)(x-2) =
Simora [160]

Answer:

-3x^2 -7x + 2

Step-by-step explanation:

Given

-2x(x + 3) - (x+1)(x - 2)

Required

Solve

Open brackets

-2x^2 -6x - (x^2-2x + x - 2)

-2x^2 -6x - x^2-2x + x + 2

Collect like terms

- x^2-2x^2 -6x -2x + x + 2

-3x^2 -7x + 2

5 0
3 years ago
3y - 2x = 9<br> 2y - 2x = 7
stellarik [79]

Step-by-step explanation:

there is your answer in attachment

3 0
3 years ago
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