1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lord [1]
2 years ago
12

Prove the divisibility of the following numbers: 5^5-5^4+5^3 by 7

Mathematics
1 answer:
Eduardwww [97]2 years ago
4 0

Step-by-step explanation:

5⁵ − 5⁴ + 5³

Factor 5³.

5³ (5² − 5 + 1)

5³ (25 − 5 + 1)

5³ (21)

21 is a multiple of 7, so 5⁵ − 5⁴ + 5³ is a multiple of 7.

You might be interested in
A The number of tropical fish that an aquarium can hold depends on the volume of the fish tank. The interior dimensions of a fis
Delicious77 [7]

Answer:

7

Step-by-step explanation:

We need to first of all find the volume of the fish tank. The most probable shape the ship tank can have is that of a cuboid.

The volume of a cuboid is l * b * h

And this is equals 30cm * 70cm * 90cm = 189,000 cubic centimeters

The number of fish the tank can contain can be obtained by dividing the volume by the volume occupied by a single fish.

This is 189,000/27000 = 7

5 0
3 years ago
⚠️⚠️⚠️⚠️⚠️HELP HELP HELP HELP PLEASEEEE I HAVE 7 MINUTES LEFT ⚠️⚠️⚠️⚠️⚠️
Kisachek [45]

Answer:

um....

1. 4

2. 3

3. 5

4. 8

Hope this helps.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
An arc subtends a central angle measuring \dfrac{\pi}{2}
Agata [3.3K]

Arc Length is 1/4th of the circumference .

<u>Step-by-step explanation:</u>

Here we need to find fraction of the circumference is this arc when An arc subtends a central angle measuring \dfrac{\pi}{2} radians ! Let's find out :

We know that circumference of an arc subtending a central angle of x is :

⇒ Arc = \frac{Angle}{360}(2\pi r)

⇒ Arc = \dfrac{\frac{\pi}{2}}{360}(2\pi r)

⇒ Arc = \frac{90}{360}(2\pi r)

⇒ Arc = \frac{90}{90(4)}(2\pi r)

⇒ Arc = \frac{1}{4}(2\pi r)

⇒ Arc = \frac{1}{4}(Circumference)

Therefore , Arc Length is 1/4th of the circumference .

4 0
3 years ago
Two positive integers have a sum of 23 and a product of 126. Find the two numbers.
meriva

Answer:

SUBTRACT

Step-by-step explanation:

6 0
3 years ago
Points Y and Z are the same distance from point X on a number line. The coordinate of point X is –7 and the coordinate of point
Mars2501 [29]
Since you know that point Y and point Z are equal distance form point F, you will need to know the distance between point Y, -1, and the distance between point X, -7. So, the total distance, after subtracting -1 from -7, is -6.  So, you will then subtract another -6 from -7, to get -13, which is the coordinate of point Z.
5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of log2 128?
    14·2 answers
  • What is the solution of log(t-3)=log(17-4t)?
    7·2 answers
  • 3x+4(x+3)=7 solve for x
    9·2 answers
  • Round the number to the nearest thousand.<br> 5,732<br> &gt;
    9·2 answers
  • Y-x=2x-2/3y <br> Written in y=mx+b form
    11·1 answer
  • calculate the volume of the prism by first finding the total number of half unit cubes that will fill it. there are 8 half unit
    6·2 answers
  • Peter, Jan, and Maxim are classmates. Their total score for the last test was 269. Peter's score was more than the sum of Jan's
    13·1 answer
  • Which of the following does NOT represent a function?
    11·2 answers
  • What is 7/10 - 1/10 in its simplest form
    14·2 answers
  • your paper airplane is launched from 25ft. it descends at a rate of 5ft per second. write an equation that represents the height
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!