Prove the divisibility of the following problems: (This is for RSM)

25^9+5^17 is divisible by 30

11^9-11^8+11^7 is divisible by 3 and 37


Will mark brainliest!

Answers

Answer 1

It should be noted that since 25⁹ + 5^¹⁷ is divisible by 2, 3, and 5, it is divisible by 30.

How to explain the division

To prove that 25⁹ + 5¹⁷ is divisible by 30, we can observe that 30 is a composite number with prime factors 2, 3, and 5. Thus, we need to show that 25⁹ + 5¹⁷ is divisible by 2, 3, and 5.

25⁹ ≡ (-1)⁹ ≡ -1 (mod 3)

5¹⁷ ≡ 2¹⁷ ≡ 2² × (2³)⁵ ≡ 4 × (-1)⁵ ≡ -4 ≡ 2 (mod 3)

Since 25⁹ + 5¹⁷ is divisible by 2, 3, and 5, it is divisible by 30.

Learn more about divisibility on

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Related Questions

Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed 4/17 cups from the first orange, 3/10 cups from the second orange, 9/20 cups from the third orange, 3/11 cups from the fourth orange, and 7/15 cups from the fifth orange. Patel estimates that he needs 3 cups of orange juice for his family. About how much more orange juice does he need to reach his estimate?
1/2
1
1 1/2
2 1/2

Answers

The Answer:
1 1/2
I hope it helped you

Answer:

C. 1 1/2

Step-by-step explanation:

correct on edge 2021

If the radius of a circle is 14 ft, then the diameter of the circle is _____.

42 ft
28 ft
87.92 ft
7 ft

Answers

46 radius
Explanation

yoooooo please help me its easy im not smart TvT

Answers

Answer:

x=28

Step-by-step explanation:

Hey There!

To find the value of x we want to get rid of the 7

To do so we use inverse operations and multiply by 7

whatever you do to the one side you do to the other

7x7 cancels out

7x4=28

we're left with

x=28

hope this helps!

Answer:

28

Step-by-step explanation:

To find x, we have to get x by itself. In this scenario, we have to multiply 7 on both sides. This will result in:

x=28

Also, I'm sure you're smart! Practice more problems and ask help when needed will help you grow!

Answer this! I WILL GIVE BRAINLIEST! GIVE A EXACT ANSWER!

Answers

the length is 12 ft 3 inches.

147/12 = 12.25 and 1/4 of a foot is 3 inches so your answer is 12 ft 3 in

Answer:

12 ft 3 in

Step-by-step explanation:

12 feet would be 144 so you have to add three inches to get 147

another way to solve it would be to divide 147 by 12 to get 12.25 which is equal to 12 ft 3 in

Shelley is searching online for airline tickets. Two weeks​ ago, the cost to fly from Orlando to Hartford was 300​$. Now the cost is ​375$. What is the percent​ increase? What would be the percent increase if the airline charges an additional​ $50 baggage fee with the new ticket​ price?

Answers

Answer: 25 percent rawrrrrrrrrrrrrrrrrrrrrrrrrrr

Answer:

What is the percent​ increase? 25%

What would be the percent increase if the airline charges an additional​ $50 baggage fee with the new ticket​ price? 41.67%

Find the difference of the following sequence: -7, -9, -11...

Answers

Answer:

each number goes down -2

Answer:

the difference is -2

Step-by-step explanation:

each term the value decreases by 2

HELP ME PLEASE THIS IS FOR CHORUS

1. when 3 or more pitches are together, what kind of harmony does it create?

2. Which solfege syllable would you sing if you sang a half step down from re?

3. Which solfege syllable would you sing if you sang a half step higher from sol?

4. The ________ scale moves by half steps and whole steps and is used to make melodies that sound bright and happy.

5. The __________________ scale has only half step movement between pitches and no whole steps.

6. C# is the ________________ of D______.

Answers

Answer:

1. chord 2. di 3. si 4. chromatic scale 5. I don’t know, maybe chromatic scale 6. I don’t know but c sharp is the same as d flat if that helps at all

ANSWER ASAP GIVING BRAINLIEST AND OTHER THINGS!

Answers

Answer:

Multipy radius by radius to get the diameter, add that to the circumference and height, but first multiply by pi to get the area around the cylinder.

Step-by-step explanation:

Answer:

????????????????????????

Step-by-step explanation:

Mr. Jacobs wants to save over $3,400 for a car. He has a savings account balance of $800 and will make equal weekly deposits for the next 25 weeks. How much money should Mr. Jacobs deposit each week?

Answers

Answer:

i think its D

Step-by-step explanation:

but im not very sure about it

Help fast!!!!!!!!!!
1. Each Side of the barn is 9 meters long.
A. What is the barns perimiter?
B. What is the barns area?
2. A rectangular peice of metal is 10 inches wide and 14 inches long.
A. Whats the permiter?
B. Whats the area?

Answers

1.) a.) 36 b.) 81
2.) a.) 48 b.) 140
(For perimeter you add up all the sides)
(For area you multiply length times width)
It will be 2 b because it is smaller

How many groups of 3/4 are in each of the following quantities? 6 1/2
answer as a fraction

Answers

8 2/3

because 6 1/2 divided by 3/4 is 8 2/3

PLEASE HELP!! I'LL GIVE BRAINLIEST!!
Vikram is studying the square pyramid below.

Answers

Answer:

He used the wrong expression to represent the area of the base of the pyramid.

Step-by-step explanation:

please mark me brainliest if correct.

Have a nice day <3

the table shows the cups of ingredients used to make 4 servings of oatmeal. what is the unit rate for cups of oats to per cup of water? please show steps

Answers

hi headpdo what I say 4×4 and ÷6

i need a little bit of help answering this.

Answers

Answer:

A) 37

Step-by-step explanation:

The Vertical Angles Theorem is used for this problem

Since it states that vertical angles are congruent just set up this equation:

74 = 2x

Division Property of Equality

34 = x

Answer:

2x=74°(being vertically opposite angle)

or, x=74/2

or, x=37°

:. x=37°

Cederic made $24 in simple interest off of money he invested in the bank. He put $200 in the bank and left it there for 2 years. What was the interest rate that the bank gave him? (HINT: Don't forget to convert this number to a percent.)

Answers

Answer:

4,800 i don't know my boiiiiiii

Step-by-step explanation:

I don’t know I rlly don’t

May I please have some help?

Answers

Answer:A 58° difference

Step-by-step explanation:

12-(-70)=82

82 degree difference

math problem graphing pls help ill give u brainiest

Answers

Answer:

Step-by-step explanation:

I multiplied every coordinate by 1/3

The coordinates are in the attachment below

Just multiply every coordinate by 1/3

GIVING BRAINLY ONLY ANSWER IF 100% CORRECT TELL ME IF MY ANSWER IS CORRECT,IF ITS NOT CORRECT THAN GIVE ME THE CORRECT ANSWER!

Answers

Answer:

ITS B

Step-by-step explanation:

:))

Answer:

Its Wrong

Step-by-step explanation:

The Correct Answer is B

because 2 times 10 is 20 plus 4 times 1 getting 4 plush 20 is 24 plus 3 times 0.1 is 24.3 plus 5 times 0.01 plus 7 times 0.001 is 24.357,

and thats your answer.

Brianliest? :/

Can y'all help me real quick, I'm not in a rush I just have to finish this by 3pm, Thanks <3

Answers

Answer:

#2: 18f+15

#3: −3h+51

thats all i can do gl tho

Step-by-step explanation:

Number 3 is 51-3h

Number 4 is 20x+12y

Number 5 is 3

Show all work to solve these system of equations algebraically.
y = x - 1
y = x2 + 2x - 3

Answers

I got 3x = -2, or -2/3

i just put false becuase i was not sure please say yes or no

Answers

Yes is the answr (true)
Yes the answer is true

write a division expression to represent the question how many 1/5s are in 2 (ILL GIVE BRAINLIEST P:EASE ANSWER FAST PLEASE)

Answers

Answer:

2 / (1/5)

Step-by-step explanation:

(Is that what you meant?)

Answer:

10/5 = 2

Step-by-step explanation:

1 sec = 1/5. 5 sec = 5/5 (1/1). 10 sec = 5 sec *2 = 10/5 sec.

Help................

Answers

Step-by-step explanation:

(1/7)³=1³/7³=1/3432⁵=321.4²=1,4×1,4=1,96
The answer of the problem is 1.96

13. A right triangle has sides 8 and 12.


a. Find the missing side if 8 and

12 are legs.


b. Find the missing side if 8 and

12 are a leg and hypotenuse.

Answers

A if 8 and 12 are legs the missing side would be 14.42
B if 8 is a leg and 12 is hypotenuse then the other leg would be 8.94
So the pythagorean theorem is a^2 + b^2 = c^2. in this case it would be 12^2 + 8^2 = c^ 2

Explanation:
12^2 = 144
8^2= 64
64 + 144 = c^2
208 = c^2
in order to find c we need to square root both sides of the equation, you can plug that into the calculator.
c = about 14.4

A cheetah can run 67.52 feet per second. How fast can a cheetah run in 3.6 seconds? Show your work, write your answer in a complete sentence

Answers

Answer:

hi

Step-by-step explanation:

Well, you would just multiply the feet per second (67.52) by the amount of time (3.6) in order to get the final distance in 3.6 seconds (243.073)

So, a cheetah can run about 243.073 feet in 3.6 seconds

Help pleaseeeee asapppp!

Answers

Answer:

The third and fourth one

Step-by-step explanation:

Hii,

When you divide by a negative, the sign flips. In the third and fourth one you're dividing by a negative so the inequality sign flips. For the rest, you're not.

Hope this helps :)

the correct answer is the third and fourth one because it makes the most sense and it’s a closest answer

hello im asking can 32 go into 2? and if so how many times? thanks ill give brainiest and 5 points

Answers

Answer:

Yes it can!!

Step-by-step explanation:

If you do 32/2 = 16

Two can go into 32, 16 times! :)

Good luck my friend! :D

Please help me with questions if u know them
Tell which property is being illustrated: 1.5 + 1.7 + 3.5 = 1.5 + 3.5 + 1.7

Commutative Property of Addition
or
Additive Identity Property of 0.



Tell which property is being illustrated: 16 + 0 =16

Additive Identity Property of 0
or
Commutative Property of Addition

Answers

Answer:

Hi! For the first question, the property being demonstrated is the Commutative Property of Addition. For the second problem, the answer would be the Additive Identity Property of 0.

Step-by-step explanation:

In the problem 1.5 + 1.7 + 3.5 = 1.5 + 3.5 + 1.7, we can see the commutative property being used. The Commutative Property of Addition states that changing the order of the addends will not have an affect on the sum. As long as you still keep the same addends, the sum will always remain the same regardless of the order.

In the problem 16 + 0 = 16, we see the Additive property of 0 being demonstrated. This property basically states that adding a number to 0 will give you the same number. It is usually very easy to identify if you look for 0 being added to an addend.

How do I solve this

Answers

Answer:

5 3/4 ft squared

Step-by-step explanation:

Just multiply to find the area of each surface then add em up.

2x1/2=1

3/4x1/2=3/8

2x3/4=6/4

multiply all of them by two since there are two of each side, to get:

2

3/4

3

Then you add them all up:

5 3/4

If it's wrong, I will take blame.

Again im sorry lol i need help

Answers

Answer: it would be 20. 100/10=10% 200/10=20%.

Answer:

20. 100/10=10% 200/10=20%.

Step-by-step explanation:

I can help every time

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